Probability (at least probability in reading #8) is one of the few topics I am geniunely stuck on.

State of economy probability of economic state stock performance conditional probability stock performance

Good 0.30 Good 0.60

Neutral 0.30

Poor 0.10

Neutral 0.50 Good 0.30

Neutral 0.40

Poor 0.30

Poor 0.20 Good 0.10

Neutral 0.60

Poor 0.30

So here are some problems I am having a tough time figuring out:

#15.) “What is the conditional probability of having good stock performance in a poor economic environment?”

The book says the answer is 0.10, so,

0.10 = P(AB) / P(B)

#18.) “Given that the stock had good performance, the probability the state of the economy was good is closest to?”

This is a Bayes formula. Bayes formula is:** P(A | B) = [P(B | A) / P(B)] * P(A)**

However, when solving for the problem, the book solves for P(B | A) as (0.6)*(0.3), which seems to be the joint probability formula, not the conditional probability formula. Why is this?