For any two independent events E1 and E2, P{(E1∪E2)∩(¯¯¯¯¯¯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{(E1∪E2)∩(¯¯¯¯¯¯E1)∩(¯¯¯¯¯¯E2)} =P{(E1∪E2)∩((¯¯¯¯¯¯E1)∩(¯¯¯¯¯¯E2))}=P{(E1∪E2)∩(¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯E1∪E2)} =P(ϕ)=0≤14