If A and B are mutually exclusive events then
(a) PA≤PB
(b) PA≥PB
(c) PA<PB
(d) None of these

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Solution

Since A and B are mutually exclusive
⇒ P(A∪B) − P(A) + P(B)
Since P(A∪B) ≤ 1
⇒ P(A) + P(B) ≤ 1
i.e. P(A) ≤ 1 − P(B)
i.e. P(A) ≤ P( $B$ )
Hence, the correct answer is option A.

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