MATHEMATICS

JAMB 2000 - Question 41

Mathematics 2000 JAMB Past Questions - Question 41: X and Y are two events. The probability of X or Y is 0.7 and the probability of X is 0.4.If X and Y are independent, find the probability of YIf X and Y are independent events, then the probability of X and Y occurring together is equal to the product of their individual probabilities.

X and Y are two events. The probability of X or Y is 0.7 and the probability of X is 0.4.If X and Y are independent, find the probability of YIf X and Y are independent events, then the probability of X and Y occurring together is equal to the product of their individual probabilities.
A:
B:
C:
D:
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Correct Answer

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