Question

A and B are two events such that P(A)=0.3,P(B)=0.4, and P(A∩B)=0.1. Calculate P(B|A) Give your answer as a fraction in its simplest form

Answer 1

The probability that event B happens given that event A happened first is calculated as follows:

`P(B|A)=(P(A\cap B))/(P(A))`

Substituting with data:

`\begin{gathered} P(B|A)=(0.1)/(0.3) \\ P(B|A)=(1)/(3) \end{gathered}`