Question

Р(А) = 1/2 P(В) = 1/3 If A and B are independent, what is P(A n B)?1/6 5/61/21/3

Answer 1

Given that events A and B are independent.

It follows that the probability of the occurrence of both events is equal to the product of occurrence of each event independently,

`P(A\cap B)=P(A)\cdot P(B)`

According to the given problem,

`\begin{gathered} P(A)=(1)/(2) \\ P(B)=(1)/(3) \end{gathered}`

Substitute the values,

`P(A\cap B)=P(A)\cdot P(B)`