Multiplication Theorem & Independent Events

Grade 12 Maths — Multiplication Theorem & Independent Events: 25 practice questions with instant scoring and explanations.

1. The multiplication theorem states P(A ∩ B) equals:
2. For independent events A and B, P(A ∩ B ∩ C) equals:
3. Two independent events with P(A) = 0.3 and P(B) = 0.4 give P(A ∩ B) = :
4. If events A and B are independent, then A' and B are:
5. For three independent events, P(A ∪ B ∪ C) = 1 − P((A ∪ B ∪ C)') = 1 − P(A'B'C') equals:
6. The probability that all three independent events do NOT occur is:
7. If tossing a coin 5 times, P(all heads) equals:
8. For the same experiment, P(no tails) equals:
9. If P(success) = 0.6 for two independent trials, P(both succeed) = :
10. For the same trials, P(at least one succeeds) = :
11. Independence is defined as P(A|B) = P(A), which means:
12. For independent events, P(A|B ∩ C) equals:
13. If X and Y are independent with P(X) = 0.5 and P(Y) = 0.7, then P(X|Y) = :
14. For drawing with replacement from a deck, successive draws are:
15. For drawing without replacement from a deck, successive draws are:
16. If P(A) = p and A repeats n times independently, P(A happens at least once) = :
17. The probability of exactly k successes in n independent trials with success probability p is:
18. In four independent coin tosses, P(exactly 2 heads) = :
19. If A and B are independent, then A' and B' are:
20. For three independent events, P(exactly one occurs) equals:
21. If rolling a die twice independently, P(both ≥ 4) = :
22. For independent exponential events with rates λ₁ and λ₂, the combined rate is:
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