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Question

For any two independent events E1 and E2, P{(E1E2)(¯¯¯¯¯¯E1)(¯¯¯¯¯¯E2)} is

A
14
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B
>14
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C
12
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D
None of these
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Solution

The correct option is B 14
We have =P{(E1E2)(¯¯¯¯¯¯E1)(¯¯¯¯¯¯E2)}
=P{(E1E2)((¯¯¯¯¯¯E1)(¯¯¯¯¯¯E2))}=P{(E1E2)(¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯E1E2)}
=P(ϕ)=014

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