Given that X and Y are independent events such that P(X) = 0.5, P(Y) =

FURTHER MATHEMATICS
WAEC 2019

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

  • A. 0.6
  • B. 0.5
  • C. 0.4
  • D. 0.3

Correct Answer: D. 0.3

Explanation

P(X \(\cup\) Y) = P(X)P(Y)

0.15 = 0.5m

m = \(\frac{0.015}{0.5}\)

= 0.3



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