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Question

A and B are two independent events such that P(AB)=16 and P(A)=524. Then P(B) is equal to

A
45
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B
16
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C
15
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D
56
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Solution

The correct option is D 15
Given: A and B are two independent events and
P(¯A¯B)=16,P(¯A)=524
Using
P(¯A¯B)=P(¯A)P(¯B)
16=524P(¯B)
i.e., P(¯B)=45 then
P(B)=1P(¯B)=145=15

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