Financial Consultants A Financial Consultant has classified his clients according to their gender and the composition of their investment portfolio (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: 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. {Financial Consultants Narrative} Find the following probabilities:
a. P ( A|B )
b. P ( B|A )

Question

Financial Consultants A Financial Consultant has classified his clients according to their gender and the composition of their investment portfolio (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:  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. {Financial Consultants Narrative} Find the following probabilities: 
 a. P ( A|B )
 b. P ( B|A )

Quizplus · Accepted Answer

The Answer of Financial Consultants A Financial Consultant has classified his clients according to their gender and the composition of their investment portfolio (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:  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. {Financial Consultants Narrative} Find the following probabilities: 
 a. P ( A|B )
 b. P ( B|A )

Financial Consultants a Financial Consultant Has Classified His Clients According