passwella.
Menu

WAEC Further Mathematics 2019 Question 38

Question 38

Probability

Given that X and Y are independent events such that P(X) = 0.5, P(Y) = m and P(X ∪ Y) = 0.75, find the value of m.

  1. A.0.6
  2. B.0.5
  3. C.0.4
  4. D.0.3
Show the answer and explanation

Answer: B (0.5)

Explanation

P(X ∪ Y) = P(X) + P(Y) − P(X)P(Y): 0.75 = 0.5 + m − 0.5m, so 0.5m = 0.25 and m = 0.5.