If A and B are two independent events such that `P(AuuB)=0. 60\ a n d\ P(A)=0. 2` , find `P(B)dot`

Explanation

`P(A cup B)=P(A)+P(B)-P(A cap B) `


`P(A cup B)=P(A)+P(B)-P(A) times P(B)` [As A and B are independent events]


`Rightarrow 0.6=0.2+P(B)-0.2 \times\ P(B)`


`Rightarrow 0.6-0.2=P(B)(1-0.2) `


`Rightarrow P(B)=frac{0.6-0.2}{1-0.2}`


`Rightarrow P(B)=frac{0.4}{0.8}`


`Rightarrow P(B)=frac{1}{2}`


`Rightarrow P(B)=0.5`