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X and Y are two events. The probability of X or Y is 0.7 and...

Mathematics
JAMB 2000

X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.

  • A. 0.30
  • B. 0.50
  • C. 0.57
  • D. 1.80
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Correct Answer: Option A
Explanation

P (X or Y) = P(X) + P(Y), when they are independent as given.
0.7 = 0.4 + P(Y)
P(Y) = 0.7 - 0.4 = 0.30

There is an explanation video available below.

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