Probability – Axiomatic Approach, Addition Theorem

Grade 11 Maths — Probability – Axiomatic Approach, Addition Theorem: 25 practice questions with instant scoring and explanations.

1. Probability of an event A is defined as:
2. The addition theorem of probability states:
3. For mutually exclusive events, P(A ∪ B) =:
4. If P(A) = 0.3 and P(B) = 0.4 with A and B mutually exclusive, then P(A ∪ B) =:
5. The axiomatic definition of probability requires:
6. If events A and B are not mutually exclusive, P(A ∪ B) = P(A) + P(B) - P(A ∩ B). This implies:
7. For any event A, P(A) always lies between:
8. P(S), where S is the sample space, equals:
9. If A and B are mutually exclusive events with P(A) = 0.5 and P(B) = 0.3, then P(A ∩ B) =:
10. The sum of probabilities of all events in sample space equals:
11. For events A and B, if P(A ∪ B) = 0.7, P(A) = 0.4, P(B) = 0.5, then P(A ∩ B) =:
12. For three mutually exclusive events A, B, C: P(A ∪ B ∪ C) =:
13. De Morgan's Law states: (A ∪ B)' =:
14. De Morgan's Law states: (A ∩ B)' =:
15. If two events A and B have P(A) = 0.6, P(B) = 0.4, and they are independent, then P(A ∩ B) =:
16. When two events are independent, P(A ∩ B) =:
17. The probability that event A does NOT occur is:
18. If P(A ∪ B) = 0.9 and P(A) = 0.5, P(B) = 0.6, are A and B mutually exclusive?
19. For complementary events A and A', P(A ∩ A') =:
20. For complementary events A and A', P(A ∪ A') =:
21. The addition theorem for three events is: P(A ∪ B ∪ C) =:
22. If A ⊆ B, then P(A ∪ B) =:
23. In a probability space, if A and B are any two events, then P(A) + P(A') =:
24. The axiom that states P(S) = 1, where S is sample space, is called:
25. For three events, P(A ∪ B ∪ C) uses the formula with terms: