Events A and B satisfy P(B) = 3/5 and P(A and B) = 1/2. Find P(A | B).

Answer and explanation

Correct answer: C. 5/6

  1. Step 1: Use P(A | B) = P(A and B) / P(B).
  2. Step 2: P(A | B) = 1/2 / 3/5 = 5/6.
Answer
5/6.
Why not the others: '3/5' divides by P(A) instead of P(B), giving P(B | A); '3/10' multiplies the two probabilities; '1/2' gives the joint probability, not the conditional one.

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