Question

According to the general equation for conditional probability, if P(An B9 = 1/6and P(B) = 7/12 what is P(A|B)

Answer 1

The formula for the conditional probability is,

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

Substitute the given values in the formula to determine the value for P(A|B').

`\begin{gathered} P(A|B^(\prime))=((1)/(6))/((7)/(12)) \\ =(1)/(6)*(12)/(7) \\ =(2)/(7) \end{gathered}`

So answer is 2/7.

Answer: Option D.