If A and B are two independent events such that P,(A) = 0.40,,,P,(B) = 0.50. Find P (neither A nor B

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14.Probability

easy

If $A$ and $B$ are two independent events such that $P\,(A) = 0.40,\,\,P\,(B) = 0.50.$ Find $P$ (neither $A$ nor $B$)

A

$0.9$

B

$0.1$

C

$0.2$

D

$0.3$

Solution

(d) $P({\rm{neither}}\,A\,{\rm{nor}}\,B) = P(\bar A \cap \bar B)$

$ = P(\bar A)\,.\,P(\bar B) = 0.6 \times 0.5 = 0.30$.

Standard 11

Mathematics

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