Question

Given that events "A" and "B" are independent, P(A) = 0.80, and P(A and B) = 0.24, what is P(B)?

Answer 1

P(B)=0.3

Explanation:

Given two independent events, A and B:

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

Substitute the given values:

`\begin{gathered} 0.24=0.8* P(B) \\ \text{ Divide both sides by 0.8} \\ (0.24)/(0.8)=(0.8* P(B))/(0.8) \\ P(B)=0.3 \end{gathered}`

The probability of event B is 0.3.