CA Foundation P3 · Chapter 15 · Question 5 of 9
If P(A) = 0.6, P(B) = 0.5 and P(A ∪ B) = 0.8, then P(A | B) is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) 0.6
Explanation
P(A ∩ B) = P(A) + P(B) − P(A ∪ B) = 0.6 + 0.5 − 0.8 = 0.3. Then P(A | B) = P(A ∩ B)/P(B) = 0.3/0.5 = 0.6. Dividing by P(A ∪ B) gives 0.375.
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