Probability - Conditional Probability

Grade 12 Maths — Probability - Conditional Probability: 25 practice questions with instant scoring and explanations.

1. Conditional probability P(A|B) is defined as:
2. If P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.2, then P(A|B) equals:
3. Two events are independent if:
4. For independent events, P(A ∩ B) equals:
5. In a deck of 52 cards, P(second card is ace | first card was ace) with no replacement is:
6. P(A ∩ B) using the multiplication rule is:
7. For two events A and B, P(A ∪ B) equals:
8. If P(A) = 0.3 and P(B) = 0.6, and A and B are independent, then P(A ∪ B) equals:
9. The law of total probability states:
10. If P(rain) = 0.3 and P(accident|rain) = 0.8, P(accident|no rain) = 0.1, then P(accident) equals:
11. For mutually exclusive events, P(A ∩ B) equals:
12. Events A and B are mutually exclusive if:
13. If P(A) = 0.4 and A and B are independent with P(B) = 0.5, then P(A|B) equals:
14. The complement of event A has probability:
15. If three cards are drawn without replacement from a deck, P(all aces) equals:
16. In a factory, P(defect) = 0.05. For two independent items, P(both defect) equals:
17. For the same items, P(at least one defect) equals:
18. Two events are dependent if:
19. If rolling a die, A = {even}, B = {>3}, then P(A|B) equals:
20. The events A = {even} and B = {multiple of 3} on die roll are:
21. Symmetrically, P(A|B) × P(B) equals:
22. If P(A|B) = 0.6, P(B) = 0.4, then P(A ∩ B) equals:
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