If A and B are two events such that P(A) = fr | vedclass

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(A) We are given the probabilities $P(A) = \frac{3}{8}$,$P(B) = \frac{5}{8}$,and $P(A \cup B) = \frac{3}{4}$.Using the addition rule of probability: $

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$\frac{2}{5}$

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(A) We are given the probabilities $P(A) = \frac{3}{8}$,$P(B) = \frac{5}{8}$,and $P(A \cup B) = \frac{3}{4}$.Using the addition rule of probability: $P(A \cup B) = P(A) + P(B) - P(A \cap B)$.Substituting the values: $\frac{3}{4} = \frac{3}{8} + \frac{5}{8} - P(A \cap B)$.$\frac{3}{4} = \frac{8}{8} - P(A \cap B) = 1 - P(A \cap B)$.Therefore,$P(A \cap B) = 1 - \frac{3}{4} = \frac{1}{4}$.Now,the conditional probability $P(A|B)$ is given by the formula: $P(A|B) = \frac{P(A \cap B)}{P(B)}$.Substituting the values: $P(A|B) = \frac{1/4}{5/8} = \frac{1}{4} 	imes \frac{8}{5} = \frac{2}{5}$.

If $A$ and $B$ are two events such that $P(A) = \frac{3}{8}$,$P(B) = \frac{5}{8}$ and $P(A \cup B) = \frac{3}{4}$,then $P(A|B) = $

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