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Question Number 35915 by Rio Mike last updated on 25/May/18

$$ifP\left(A\right)andP\left(B\right)areindependent$$$$eventsthenP(A\mid B)=??$$

Answered by $@ty@m last updated on 26/May/18

$$P\left(A╱B\right)=\frac{P(A\cap B)}{P\left(B\right)}....\left(i\right)$$$$\because P\left(A\right)andP\left(B\right)areindependent$$$$\therefore P(A\cap B)=P\left(A\right).P\left(B\right)...\left(ii\right)$$$$From\left(i\right)and\left(ii\right)$$$$P\left(A╱B\right)=P\left(A\right)$$

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