Question

If $P\left(A\right)=0.2,P\left(B\right)=p,P(A\cup B)=0.6$ and $A$ and $B$ are given to be independent events, find the value of $p$.

Answer 1

P(A)=0.2

P(B)=p

P(AUB)=0.6

Since A and B are independent P(A$\cap$B)=P(A)$\times$P(B)=0.2p

P(AUB)=P(A)+P(B)-P(A$\cap$B)

0.6=0.2+p-0.2p

p=0.5