Hi there, please kindly provide a comprehensive solution. The previous tutor from coursehero did the question but he didnt really make it clear for me hence appreciate your explanations and clear calculations here. Many Thanks

1. An investment firm has classified its clients according to their gender and the composition of their investment portfolios (primarily bonds, primarily stocks, or a balanced mix of bonds and stocks). The proportions of clients falling into the various categories are shown in the following table:

Portfolio Composition

Gender	Bonds	Stocks	Balanced
Male	0.18	0.20	0.25
Female	0.12	0.10	0.15

One client is selected at random, and two events A and B are defined as follows:

A: The client selected is male.

B: The client selected has a balanced portfolio.

Find the following probabilities.

1. P(A)= ?
2. P(B)=?
3. P(A|B)=?