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WAEC Further Mathematics 2008 Question 23

Question 23

Probability

If events A and B are independent and P(A) = 7/12 and P(A∩B) = 1/2, find P(B)

  1. A.3/7
  2. B.4/7
  3. C.5/7
  4. D.6/7
Show the answer and explanation

Answer: D (6/7)

Explanation

For independent events P(A∩B) = P(A) × P(B), so P(B) = (1/2) ÷ (7/12) = 6/7.