# Finite Events This batch has passed Schema, deduplication, source-snapshot, and independent-answer recomputation checks; it is still not marked as human-reviewed. This question bank has corresponding bilingual step-by-step derivations. Source candidate and English ai_candidate states are retained. AI review, finite computation and Lean formal proof are labelled separately. batch-20260918-finite-events · 2026-09-18 · 100 questions This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt. ## 1. Event Validity in a Finite Powerset Model Let S={1, 2, 3}, with F=P(S) explicitly selected. Is E={2, 9} an event in this model? View answer and explanationNo 9 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0001/) Event · qf-finite-event-subset-validity · candidate ## 2. Event Validity in a Finite Powerset Model Let S={5, 6, 7}, with F=P(S) explicitly selected. Is E={5, 7} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0002/) Event · qf-finite-event-subset-validity · candidate ## 3. Event Validity in a Finite Powerset Model Let S={9, 10, 11}, with F=P(S) explicitly selected. Is E={10, 17} an event in this model? View answer and explanationNo 17 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0003/) Event · qf-finite-event-subset-validity · candidate ## 4. Event Validity in a Finite Powerset Model Let S={13, 14, 15}, with F=P(S) explicitly selected. Is E={13, 15} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0004/) Event · qf-finite-event-subset-validity · candidate ## 5. Event Validity in a Finite Powerset Model Let S={17, 18, 19}, with F=P(S) explicitly selected. Is E={18, 25} an event in this model? View answer and explanationNo 25 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0005/) Event · qf-finite-event-subset-validity · candidate ## 6. Event Validity in a Finite Powerset Model Let S={21, 22, 23}, with F=P(S) explicitly selected. Is E={21, 23} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0006/) Event · qf-finite-event-subset-validity · candidate ## 7. Event Validity in a Finite Powerset Model Let S={25, 26, 27}, with F=P(S) explicitly selected. Is E={26, 33} an event in this model? View answer and explanationNo 33 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0007/) Event · qf-finite-event-subset-validity · candidate ## 8. Event Validity in a Finite Powerset Model Let S={29, 30, 31}, with F=P(S) explicitly selected. Is E={29, 31} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0008/) Event · qf-finite-event-subset-validity · candidate ## 9. Event Validity in a Finite Powerset Model Let S={33, 34, 35}, with F=P(S) explicitly selected. Is E={34, 41} an event in this model? View answer and explanationNo 41 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0009/) Event · qf-finite-event-subset-validity · candidate ## 10. Event Validity in a Finite Powerset Model Let S={37, 38, 39}, with F=P(S) explicitly selected. Is E={37, 39} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0010/) Event · qf-finite-event-subset-validity · candidate ## 11. Event Validity in a Finite Powerset Model Let S={41, 42, 43}, with F=P(S) explicitly selected. Is E={42, 49} an event in this model? View answer and explanationNo 49 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0011/) Event · qf-finite-event-subset-validity · candidate ## 12. Event Validity in a Finite Powerset Model Let S={45, 46, 47}, with F=P(S) explicitly selected. Is E={45, 47} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0012/) Event · qf-finite-event-subset-validity · candidate ## 13. Event Validity in a Finite Powerset Model Let S={49, 50, 51}, with F=P(S) explicitly selected. Is E={50, 57} an event in this model? View answer and explanationNo 57 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0013/) Event · qf-finite-event-subset-validity · candidate ## 14. Event Validity in a Finite Powerset Model Let S={53, 54, 55}, with F=P(S) explicitly selected. Is E={53, 55} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0014/) Event · qf-finite-event-subset-validity · candidate ## 15. Event Validity in a Finite Powerset Model Let S={57, 58, 59}, with F=P(S) explicitly selected. Is E={58, 65} an event in this model? View answer and explanationNo 65 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0015/) Event · qf-finite-event-subset-validity · candidate ## 16. Event Validity in a Finite Powerset Model Let S={61, 62, 63}, with F=P(S) explicitly selected. Is E={61, 63} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0016/) Event · qf-finite-event-subset-validity · candidate ## 17. Event Validity in a Finite Powerset Model Let S={65, 66, 67}, with F=P(S) explicitly selected. Is E={66, 73} an event in this model? View answer and explanationNo 73 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0017/) Event · qf-finite-event-subset-validity · candidate ## 18. Event Validity in a Finite Powerset Model Let S={69, 70, 71}, with F=P(S) explicitly selected. Is E={69, 71} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0018/) Event · qf-finite-event-subset-validity · candidate ## 19. Event Validity in a Finite Powerset Model Let S={73, 74, 75}, with F=P(S) explicitly selected. Is E={74, 81} an event in this model? View answer and explanationNo 81 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0019/) Event · qf-finite-event-subset-validity · candidate ## 20. Event Validity in a Finite Powerset Model Let S={77, 78, 79}, with F=P(S) explicitly selected. Is E={77, 79} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0020/) Event · qf-finite-event-subset-validity · candidate ## 21. Event Validity in a Finite Powerset Model Let S={81, 82, 83}, with F=P(S) explicitly selected. Is E={82, 89} an event in this model? View answer and explanationNo 89 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0021/) Event · qf-finite-event-subset-validity · candidate ## 22. Event Validity in a Finite Powerset Model Let S={85, 86, 87}, with F=P(S) explicitly selected. Is E={85, 87} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0022/) Event · qf-finite-event-subset-validity · candidate ## 23. Event Validity in a Finite Powerset Model Let S={89, 90, 91}, with F=P(S) explicitly selected. Is E={90, 97} an event in this model? View answer and explanationNo 97 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0023/) Event · qf-finite-event-subset-validity · candidate ## 24. Event Validity in a Finite Powerset Model Let S={93, 94, 95}, with F=P(S) explicitly selected. Is E={93, 95} an event in this model? View answer and explanationYes Every element of E belongs to S, so E is a subset of S and therefore an event in F=P(S). [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0024/) Event · qf-finite-event-subset-validity · candidate ## 25. Event Validity in a Finite Powerset Model Let S={97, 98, 99}, with F=P(S) explicitly selected. Is E={98, 105} an event in this model? View answer and explanationNo 105 is not in S, so E is not a subset of S. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-subset-validity-0025/) Event · qf-finite-event-subset-validity · candidate ## 26. Outcome Versus Event Let S={1, 2, 3} and F=P(S). 1 is a single outcome, while {1} is an event. Is the role of 1 “event set”? View answer and explanationNo 1 is an element of S; {1} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0001/) Event · qf-outcome-versus-event-role · candidate ## 27. Outcome Versus Event Let S={5, 6, 7} and F=P(S). 6 is a single outcome, while {6} is an event. Is the role of 6 “event set”? View answer and explanationNo 6 is an element of S; {6} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0002/) Event · qf-outcome-versus-event-role · candidate ## 28. Outcome Versus Event Let S={9, 10, 11} and F=P(S). 11 is a single outcome, while {11} is an event. Is the role of 11 “event set”? View answer and explanationNo 11 is an element of S; {11} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0003/) Event · qf-outcome-versus-event-role · candidate ## 29. Outcome Versus Event Let S={13, 14, 15} and F=P(S). 13 is a single outcome, while {13} is an event. Is the role of 13 “event set”? View answer and explanationNo 13 is an element of S; {13} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0004/) Event · qf-outcome-versus-event-role · candidate ## 30. Outcome Versus Event Let S={17, 18, 19} and F=P(S). 18 is a single outcome, while {18} is an event. Is the role of 18 “event set”? View answer and explanationNo 18 is an element of S; {18} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0005/) Event · qf-outcome-versus-event-role · candidate ## 31. Outcome Versus Event Let S={21, 22, 23} and F=P(S). 23 is a single outcome, while {23} is an event. Is the role of 23 “event set”? View answer and explanationNo 23 is an element of S; {23} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0006/) Event · qf-outcome-versus-event-role · candidate ## 32. Outcome Versus Event Let S={25, 26, 27} and F=P(S). 25 is a single outcome, while {25} is an event. Is the role of 25 “event set”? View answer and explanationNo 25 is an element of S; {25} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0007/) Event · qf-outcome-versus-event-role · candidate ## 33. Outcome Versus Event Let S={29, 30, 31} and F=P(S). 30 is a single outcome, while {30} is an event. Is the role of 30 “event set”? View answer and explanationNo 30 is an element of S; {30} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0008/) Event · qf-outcome-versus-event-role · candidate ## 34. Outcome Versus Event Let S={33, 34, 35} and F=P(S). 35 is a single outcome, while {35} is an event. Is the role of 35 “event set”? View answer and explanationNo 35 is an element of S; {35} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0009/) Event · qf-outcome-versus-event-role · candidate ## 35. Outcome Versus Event Let S={37, 38, 39} and F=P(S). 37 is a single outcome, while {37} is an event. Is the role of 37 “event set”? View answer and explanationNo 37 is an element of S; {37} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0010/) Event · qf-outcome-versus-event-role · candidate ## 36. Outcome Versus Event Let S={41, 42, 43} and F=P(S). 42 is a single outcome, while {42} is an event. Is the role of 42 “event set”? View answer and explanationNo 42 is an element of S; {42} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0011/) Event · qf-outcome-versus-event-role · candidate ## 37. Outcome Versus Event Let S={45, 46, 47} and F=P(S). 47 is a single outcome, while {47} is an event. Is the role of 47 “event set”? View answer and explanationNo 47 is an element of S; {47} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0012/) Event · qf-outcome-versus-event-role · candidate ## 38. Outcome Versus Event Let S={49, 50, 51} and F=P(S). 49 is a single outcome, while {49} is an event. Is the role of 49 “event set”? View answer and explanationNo 49 is an element of S; {49} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0013/) Event · qf-outcome-versus-event-role · candidate ## 39. Outcome Versus Event Let S={53, 54, 55} and F=P(S). 54 is a single outcome, while {54} is an event. Is the role of 54 “event set”? View answer and explanationNo 54 is an element of S; {54} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0014/) Event · qf-outcome-versus-event-role · candidate ## 40. Outcome Versus Event Let S={57, 58, 59} and F=P(S). 59 is a single outcome, while {59} is an event. Is the role of 59 “event set”? View answer and explanationNo 59 is an element of S; {59} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0015/) Event · qf-outcome-versus-event-role · candidate ## 41. Outcome Versus Event Let S={61, 62, 63} and F=P(S). 61 is a single outcome, while {61} is an event. Is the role of 61 “event set”? View answer and explanationNo 61 is an element of S; {61} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0016/) Event · qf-outcome-versus-event-role · candidate ## 42. Outcome Versus Event Let S={65, 66, 67} and F=P(S). 66 is a single outcome, while {66} is an event. Is the role of 66 “event set”? View answer and explanationNo 66 is an element of S; {66} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0017/) Event · qf-outcome-versus-event-role · candidate ## 43. Outcome Versus Event Let S={69, 70, 71} and F=P(S). 71 is a single outcome, while {71} is an event. Is the role of 71 “event set”? View answer and explanationNo 71 is an element of S; {71} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0018/) Event · qf-outcome-versus-event-role · candidate ## 44. Outcome Versus Event Let S={73, 74, 75} and F=P(S). 73 is a single outcome, while {73} is an event. Is the role of 73 “event set”? View answer and explanationNo 73 is an element of S; {73} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0019/) Event · qf-outcome-versus-event-role · candidate ## 45. Outcome Versus Event Let S={77, 78, 79} and F=P(S). 78 is a single outcome, while {78} is an event. Is the role of 78 “event set”? View answer and explanationNo 78 is an element of S; {78} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0020/) Event · qf-outcome-versus-event-role · candidate ## 46. Outcome Versus Event Let S={81, 82, 83} and F=P(S). 83 is a single outcome, while {83} is an event. Is the role of 83 “event set”? View answer and explanationNo 83 is an element of S; {83} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0021/) Event · qf-outcome-versus-event-role · candidate ## 47. Outcome Versus Event Let S={85, 86, 87} and F=P(S). 85 is a single outcome, while {85} is an event. Is the role of 85 “event set”? View answer and explanationNo 85 is an element of S; {85} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0022/) Event · qf-outcome-versus-event-role · candidate ## 48. Outcome Versus Event Let S={89, 90, 91} and F=P(S). 90 is a single outcome, while {90} is an event. Is the role of 90 “event set”? View answer and explanationNo 90 is an element of S; {90} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0023/) Event · qf-outcome-versus-event-role · candidate ## 49. Outcome Versus Event Let S={93, 94, 95} and F=P(S). 95 is a single outcome, while {95} is an event. Is the role of 95 “event set”? View answer and explanationNo 95 is an element of S; {95} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0024/) Event · qf-outcome-versus-event-role · candidate ## 50. Outcome Versus Event Let S={97, 98, 99} and F=P(S). 97 is a single outcome, while {97} is an event. Is the role of 97 “event set”? View answer and explanationNo 97 is an element of S; {97} is the event written as a set of outcomes. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-outcome-versus-event-role-0025/) Event · qf-outcome-versus-event-role · candidate ## 51. Occurrence of a Finite Event Let S={1, 2, 3}, F=P(S), and E={2}. The observed outcome is 1. Does E occur? View answer and explanationNo 1 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0001/) Event · qf-finite-event-occurrence · candidate ## 52. Occurrence of a Finite Event Let S={5, 6, 7}, F=P(S), and E={5, 7}. The observed outcome is 5. Does E occur? View answer and explanationYes 5 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0002/) Event · qf-finite-event-occurrence · candidate ## 53. Occurrence of a Finite Event Let S={9, 10, 11}, F=P(S), and E={10}. The observed outcome is 9. Does E occur? View answer and explanationNo 9 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0003/) Event · qf-finite-event-occurrence · candidate ## 54. Occurrence of a Finite Event Let S={13, 14, 15}, F=P(S), and E={13, 15}. The observed outcome is 13. Does E occur? View answer and explanationYes 13 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0004/) Event · qf-finite-event-occurrence · candidate ## 55. Occurrence of a Finite Event Let S={17, 18, 19}, F=P(S), and E={18}. The observed outcome is 17. Does E occur? View answer and explanationNo 17 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0005/) Event · qf-finite-event-occurrence · candidate ## 56. Occurrence of a Finite Event Let S={21, 22, 23}, F=P(S), and E={21, 23}. The observed outcome is 21. Does E occur? View answer and explanationYes 21 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0006/) Event · qf-finite-event-occurrence · candidate ## 57. Occurrence of a Finite Event Let S={25, 26, 27}, F=P(S), and E={26}. The observed outcome is 25. Does E occur? View answer and explanationNo 25 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0007/) Event · qf-finite-event-occurrence · candidate ## 58. Occurrence of a Finite Event Let S={29, 30, 31}, F=P(S), and E={29, 31}. The observed outcome is 29. Does E occur? View answer and explanationYes 29 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0008/) Event · qf-finite-event-occurrence · candidate ## 59. Occurrence of a Finite Event Let S={33, 34, 35}, F=P(S), and E={34}. The observed outcome is 33. Does E occur? View answer and explanationNo 33 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0009/) Event · qf-finite-event-occurrence · candidate ## 60. Occurrence of a Finite Event Let S={37, 38, 39}, F=P(S), and E={37, 39}. The observed outcome is 37. Does E occur? View answer and explanationYes 37 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0010/) Event · qf-finite-event-occurrence · candidate ## 61. Occurrence of a Finite Event Let S={41, 42, 43}, F=P(S), and E={42}. The observed outcome is 41. Does E occur? View answer and explanationNo 41 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0011/) Event · qf-finite-event-occurrence · candidate ## 62. Occurrence of a Finite Event Let S={45, 46, 47}, F=P(S), and E={45, 47}. The observed outcome is 45. Does E occur? View answer and explanationYes 45 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0012/) Event · qf-finite-event-occurrence · candidate ## 63. Occurrence of a Finite Event Let S={49, 50, 51}, F=P(S), and E={50}. The observed outcome is 49. Does E occur? View answer and explanationNo 49 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0013/) Event · qf-finite-event-occurrence · candidate ## 64. Occurrence of a Finite Event Let S={53, 54, 55}, F=P(S), and E={53, 55}. The observed outcome is 53. Does E occur? View answer and explanationYes 53 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0014/) Event · qf-finite-event-occurrence · candidate ## 65. Occurrence of a Finite Event Let S={57, 58, 59}, F=P(S), and E={58}. The observed outcome is 57. Does E occur? View answer and explanationNo 57 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0015/) Event · qf-finite-event-occurrence · candidate ## 66. Occurrence of a Finite Event Let S={61, 62, 63}, F=P(S), and E={61, 63}. The observed outcome is 61. Does E occur? View answer and explanationYes 61 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0016/) Event · qf-finite-event-occurrence · candidate ## 67. Occurrence of a Finite Event Let S={65, 66, 67}, F=P(S), and E={66}. The observed outcome is 65. Does E occur? View answer and explanationNo 65 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0017/) Event · qf-finite-event-occurrence · candidate ## 68. Occurrence of a Finite Event Let S={69, 70, 71}, F=P(S), and E={69, 71}. The observed outcome is 69. Does E occur? View answer and explanationYes 69 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0018/) Event · qf-finite-event-occurrence · candidate ## 69. Occurrence of a Finite Event Let S={73, 74, 75}, F=P(S), and E={74}. The observed outcome is 73. Does E occur? View answer and explanationNo 73 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0019/) Event · qf-finite-event-occurrence · candidate ## 70. Occurrence of a Finite Event Let S={77, 78, 79}, F=P(S), and E={77, 79}. The observed outcome is 77. Does E occur? View answer and explanationYes 77 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0020/) Event · qf-finite-event-occurrence · candidate ## 71. Occurrence of a Finite Event Let S={81, 82, 83}, F=P(S), and E={82}. The observed outcome is 81. Does E occur? View answer and explanationNo 81 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0021/) Event · qf-finite-event-occurrence · candidate ## 72. Occurrence of a Finite Event Let S={85, 86, 87}, F=P(S), and E={85, 87}. The observed outcome is 85. Does E occur? View answer and explanationYes 85 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0022/) Event · qf-finite-event-occurrence · candidate ## 73. Occurrence of a Finite Event Let S={89, 90, 91}, F=P(S), and E={90}. The observed outcome is 89. Does E occur? View answer and explanationNo 89 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0023/) Event · qf-finite-event-occurrence · candidate ## 74. Occurrence of a Finite Event Let S={93, 94, 95}, F=P(S), and E={93, 95}. The observed outcome is 93. Does E occur? View answer and explanationYes 93 belongs to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0024/) Event · qf-finite-event-occurrence · candidate ## 75. Occurrence of a Finite Event Let S={97, 98, 99}, F=P(S), and E={98}. The observed outcome is 97. Does E occur? View answer and explanationNo 97 does not belong to E. No probability is assigned in this question. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-occurrence-0025/) Event · qf-finite-event-occurrence · candidate ## 76. Cardinality of a Finite Event Let S={1, 2, 3}, F=P(S), and E={2}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0001/) Event · qf-finite-event-cardinality · candidate ## 77. Cardinality of a Finite Event Let S={5, 6, 7}, F=P(S), and E={5, 7}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0002/) Event · qf-finite-event-cardinality · candidate ## 78. Cardinality of a Finite Event Let S={9, 10, 11}, F=P(S), and E={10}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0003/) Event · qf-finite-event-cardinality · candidate ## 79. Cardinality of a Finite Event Let S={13, 14, 15}, F=P(S), and E={13, 15}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0004/) Event · qf-finite-event-cardinality · candidate ## 80. Cardinality of a Finite Event Let S={17, 18, 19}, F=P(S), and E={18}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0005/) Event · qf-finite-event-cardinality · candidate ## 81. Cardinality of a Finite Event Let S={21, 22, 23}, F=P(S), and E={21, 23}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0006/) Event · qf-finite-event-cardinality · candidate ## 82. Cardinality of a Finite Event Let S={25, 26, 27}, F=P(S), and E={26}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0007/) Event · qf-finite-event-cardinality · candidate ## 83. Cardinality of a Finite Event Let S={29, 30, 31}, F=P(S), and E={29, 31}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0008/) Event · qf-finite-event-cardinality · candidate ## 84. Cardinality of a Finite Event Let S={33, 34, 35}, F=P(S), and E={34}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0009/) Event · qf-finite-event-cardinality · candidate ## 85. Cardinality of a Finite Event Let S={37, 38, 39}, F=P(S), and E={37, 39}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0010/) Event · qf-finite-event-cardinality · candidate ## 86. Cardinality of a Finite Event Let S={41, 42, 43}, F=P(S), and E={42}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0011/) Event · qf-finite-event-cardinality · candidate ## 87. Cardinality of a Finite Event Let S={45, 46, 47}, F=P(S), and E={45, 47}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0012/) Event · qf-finite-event-cardinality · candidate ## 88. Cardinality of a Finite Event Let S={49, 50, 51}, F=P(S), and E={50}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0013/) Event · qf-finite-event-cardinality · candidate ## 89. Cardinality of a Finite Event Let S={53, 54, 55}, F=P(S), and E={53, 55}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0014/) Event · qf-finite-event-cardinality · candidate ## 90. Cardinality of a Finite Event Let S={57, 58, 59}, F=P(S), and E={58}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0015/) Event · qf-finite-event-cardinality · candidate ## 91. Cardinality of a Finite Event Let S={61, 62, 63}, F=P(S), and E={61, 63}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0016/) Event · qf-finite-event-cardinality · candidate ## 92. Cardinality of a Finite Event Let S={65, 66, 67}, F=P(S), and E={66}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0017/) Event · qf-finite-event-cardinality · candidate ## 93. Cardinality of a Finite Event Let S={69, 70, 71}, F=P(S), and E={69, 71}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0018/) Event · qf-finite-event-cardinality · candidate ## 94. Cardinality of a Finite Event Let S={73, 74, 75}, F=P(S), and E={74}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0019/) Event · qf-finite-event-cardinality · candidate ## 95. Cardinality of a Finite Event Let S={77, 78, 79}, F=P(S), and E={77, 79}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0020/) Event · qf-finite-event-cardinality · candidate ## 96. Cardinality of a Finite Event Let S={81, 82, 83}, F=P(S), and E={82}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0021/) Event · qf-finite-event-cardinality · candidate ## 97. Cardinality of a Finite Event Let S={85, 86, 87}, F=P(S), and E={85, 87}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0022/) Event · qf-finite-event-cardinality · candidate ## 98. Cardinality of a Finite Event Let S={89, 90, 91}, F=P(S), and E={90}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0023/) Event · qf-finite-event-cardinality · candidate ## 99. Cardinality of a Finite Event Let S={93, 94, 95}, F=P(S), and E={93, 95}. What is the cardinality of E? View answer and explanation2 E contains 2 distinct outcomes. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0024/) Event · qf-finite-event-cardinality · candidate ## 100. Cardinality of a Finite Event Let S={97, 98, 99}, F=P(S), and E={98}. What is the cardinality of E? View answer and explanation1 E contains 1 distinct outcome. This is a cardinality, not a probability. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260918-finite-event-cardinality-0025/) Event · qf-finite-event-cardinality · candidate [Canonical question JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20260918-finite-events/questions.jsonl) · [English JSONL](https://ocme.evemisslab.com/data/i18n/questions/batch-20260918-finite-events.en.jsonl) · [Validation report](https://ocme.evemisslab.com/data/questions/batches/batch-20260918-finite-events/validation-report.json)