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Question

A and B are two mutually exclusive and exhaustive events. If P(A)=17 find the value of 49 × P(B).

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Solution

we are given the two events are mutually exclusive and exhaustive.

Mutually exclusive P(A B) = 0

Exhaustive P(A B) = 1

P(A B) = 1

P(A) + P(B) P(A B) = 1

But P(A B) = 0

P(A) + P(B) = 1

P(B) = 1 P(A)

=1 17

=67

Answer =49 × 67

=42


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