Refer to the probability table given below concerning three

Refer to the probability table given below concerning three events A, B, and C. Find the conditional probability of B given that both A and C occur.

Solution

As

P(B| A n C) = P(B n A n C) / P(A n C)

From the table,

P(A n C) = 0.01 + 0.09 = 0.10

and

P(B n A n C) = 0.01

Thus,

P(B| A n C) = P(B n A n C) / P(A n C) = 0.01/0.10 = 0.10 [ANSWER]