Suppose A and B are events in a sample space with P(A) = 0.6, P(B) = 0.65, P(BUA) = 0.84 Find the following probabilities. P(An B) = 0.41 P(B|A) = P(A|B) =

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Chapter1: Combinatorial Analysis
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Suppose A and B are events in a sample space with:

\[ P(A) = 0.6, \, P(B) = 0.65, \, P(B \cup A) = 0.84 \]

Find the following probabilities.

\[ P(A \cap B) = 0.41 \]

\[ P(B|A) = \, \_\_\_\_ \]

\[ P(A|B) = \, \_\_\_\_ \]

This image provides information regarding the probabilities of two events, A and B. It specifies the individual probabilities of A and B, the probability of either A or B occurring (union), and the probability of both A and B occurring together (intersection).

The conditional probabilities \( P(B|A) \) and \( P(A|B) \) are left to be determined.
Transcribed Image Text:Suppose A and B are events in a sample space with: \[ P(A) = 0.6, \, P(B) = 0.65, \, P(B \cup A) = 0.84 \] Find the following probabilities. \[ P(A \cap B) = 0.41 \] \[ P(B|A) = \, \_\_\_\_ \] \[ P(A|B) = \, \_\_\_\_ \] This image provides information regarding the probabilities of two events, A and B. It specifies the individual probabilities of A and B, the probability of either A or B occurring (union), and the probability of both A and B occurring together (intersection). The conditional probabilities \( P(B|A) \) and \( P(A|B) \) are left to be determined.
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