Question

If A and B are two random events with probabilities of P(A) = 4/9, P(B) = 2/9, P(A ∩ B) = 1/9, calculate P(B|A).a.1/4b.3/4c. 1/2d.1

Answer 1

A. 1/4.

Step-by-step explanation:

Given two random events A and B:

`\begin{gathered} P(B|A)=(P(B\cap A))/(P(A)) \\ P(B\cap A)=P(A\cap B) \end{gathered}`

Substitute the given values:

`P(B|A)=((1)/(9))/((4)/(9))=(1)/(9)/(4)/(9)=(1)/(9)*(9)/(4)=(1)/(4)`

The value of P(B|A) is 1/4.