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Conditional probability is the art of updating probabilities based on given information. What is the probability that the sidewalk is wet? And what if we know that it rained a few hours ago? See more

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If two exclusive events \(A\) and \(B\) satisfy

\[ P\left(A \cap B^C\right) = \frac15, \quad P\left(A^C \cap B\right) = \frac14, \]

what is the value of \( P(A \cup B) \)?

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