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  • Given that the events A and B are such that P (A) = 1 / 2, P (A ∪ B) = 3 / 5 and P (B) = p. Find p if they are (ii) independent

Q.7   Given that the eventsA and B are such that P(A)=12,P(A\cup B)=\frac{3}{5}   and P(B)=p. Find p if they are

             (ii) independent

Answers (1)

best_answer

Given, 

          P(A)=\frac{1}{2},P(A\cup B)=\frac{3}{5}

Also, A and B  are independent events means

 P(A\cap B) = P(A).P(B).   Also P(B)=p.

 P(A\cap B) = P(A).P(B)=\frac{p}{2}

     P(A\cup B)=P(A)+P(B)-P(A\cap B)

                        \frac{3}{5}=\frac{1}{2}+p-\frac{p}{2}

                       \frac{p}{2}=\frac{3}{5}-\frac{1}{2}=\frac{1}{10}

                     p=\frac{2}{10}=\frac{1}{5}

Posted by

seema garhwal

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