Question

Given P(A) = 0.56, P(B) = 0.45 and P(B|A) = 0.7, find the value of

P(A and B), rounding to the nearest thousandth, if necessary.

Answer 1

Answer: 0.392

Explanation:

So P(A)xP(B|A)= P(AnB)

Plug in

0.56x0.7=0.392

Answer 2

P(A and B) = P(AnB)

Explanation:

`P( (A)/(B) ) = (P(AnB))/(P(B)) \\from \: bayes \: theorem \\ P(AnB) = P(B) * P( (A)/(B)) \\ = 0.45 * 0.7 \\ = 0.315`