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,

$P(A|B^{\prime})=\frac{P(A\cap B^{\prime})}{P(B^{\prime})}$

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

$\begin{gathered} P(A|B^{\prime})=\frac{\frac{1}{6}}{\frac{7}{12}} \\ =\frac{1}{6}\times\frac{12}{7} \\ =\frac{2}{7} \end{gathered}$

So answer is 2/7.

Answer: Option D.