Question

According to the general equation for conditional probability, if P(A n B) = 1/6 and P(B) = 7/18 what is P ( A|B)?

Answer 1

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\frac16}{\frac7{18}}=\frac37$

Answer 2

P(A and B) = P(A/B) * P(B)

P(A/B) = P(A and B) / P(B)

given P(A and B) = 1/6 and p(B) =7/24

P(A/B) = 1/6 % 7/24

p(A/B) = 4/7