Question

According to the general equation for conditional probability of p(a^b)= 1/6 and p(b)= 7/12

Answer 1

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

Answer 2

The general equation for probability of A and B is given by,

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

Here, P(A and B) = 1/6

and, P(B) = 7/12

Therefore, P(A | B) = (1/6) / (7/12) = 2/7