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Portfolio Composition
an Investment Firm Has Classified Its Clients According

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Portfolio Composition
An investment firm has classified its 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:
 Partfolin Compasition  Cender  Ennds  Stacks  Galanced  Mala 0.180.200.25 Female 0.120.050.20\begin{array}{l}\quad \quad \quad \quad \text { Partfolin Compasition }\\\begin{array} { | l | c | c | c | } \hline \text { Cender } & \text { Ennds } & \text { Stacks } & \text { Galanced } \\\hline \text { Mala } & 0.18 & 0.20 & 0.25 \\\hline \text { Female } & 0.12 & 0.05 & 0.20 \\\hline\end{array}\end{array} 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:
A)P(A/B)
B)P(B/A)

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Definitions:

Manufacturing Franchise

A type of franchise agreement where the franchisor allows the franchisee to manufacture and sell products using its brand and specifications.

Formula

A mathematical relationship or rule expressed in symbols.

License

A legal permission granted by competent authority to engage in an activity or use a property that would be illegal without such permission.

Trade Name

A business's official name under which it operates and is known to the public, distinct from its legal registered name.

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