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Question

If E and F are event with P(E)P(F) and P(EF)>0, then

A
Occurrence of E occurrence of F
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B
Occurrence of F occurrence of E
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C
Non-occurrence of E non-occurrence of F
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D
None of these
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Solution

The correct option is C None of these
Consider the following events in single throw of a die.
E= getting a multiple of 3;
F= getting an even number.
We have, P(E)=13 and P(F)=12.
Clearly, P(E)P(F) and P(EF)=16>0.
But none of the option (A),(B) and (C) is true.
Thus, the statement is alternatives (A), (B) and (C) do not necessarily hold good.

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