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Question

If A and B are two events such that A ⊂ B and P (B) ≠ 0, then which of the following is correct?

A.

B.

C.

D. None of these

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Solution

If A ⊂ B, then A ∩ B = A

⇒ P (A ∩ B) = P (A)

Also, P (A) < P (B)

Consider … (1)

Consider … (2)

It is known that, P (B) ≤ 1

Thus, from (3), it can be concluded that the relation given in alternative C is correct.


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