Question

Hey can you please help me posted picture of question

Answer 1

The formulas for conditional probability are:
$P(A\cap B')=P(A)\cdot P(B'|A)$
$P(A\cap B')=P(B')\cdot P(A|B')$.
Since $P(A\cap B')= \frac{1}{6}$ and $p(B')= \frac{7}{18}$, you have the equation $\frac{1}{6} = \frac{7}{18} \cdot P(A|B')$.
Therefore, $P(A|B')= \frac{1}{6} : \frac{7}{18} =\frac{1}{6} \cdot \frac{18}{7} = \frac{3}{7}$.
Answer: The correct choice is D.