16
47
421
37
Correct answer is B
P(X⋃Y)=58
P(X⋂Y)=P(X)×P(Y)
Since X and Y are independent events, the probability of their union (X ⋃ Y) can be calculated as:
P(X⋃Y)=P(X)+P(Y)−P(X⋂Y)
=58=18+P(Y)−18×P(Y)
=58−18=P(Y)−18×P(Y)
=12=P(Y)(1−18)
=12=P(Y)(78)
=P(Y)=12÷78
∴P(Y)=\frac{1}{2}x\frac{8}{7}=\frac{4}{7}
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