Question

Given P(A) = 0.81, P(B) = 0.7 and P(B|A) = 0.8, find the value of

P(AnB), rounding to the nearest thousandth, if necessary.

Answer 1

Answer: 0.648

Explanation:

We can use the formula P(B|A) = P(A and B) / P(A) to find P(A and B), where P(A and B) is the probability of both A and B occurring and P(A) is the probability of A occurring.

Rearranging the formula, we get:

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

Substituting the given values, we get:

P(A and B) = 0.8 * 0.81 = 0.648

Therefore, the value of P(A and B) is 0.648, rounded to the nearest thousandth.