Given P(A) = 0.4, P(B) = 0.5, P(A | B) = 0.3, do the following.(a) Compute P(A and B). (b) Compute P(A or B).

Question

Given P(A) = 0.4, P(B) = 0.5, P(A | B) = 0.3, do the following.(a) Compute P(A and B). (b) Compute P(A or B).
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Solution 1

(a) To compute P(A and B), we use the formula for conditional probability, which is P(A and B) = P(A | B) * P(B). Substituting the given values, we get P(A and B) = 0.3 * 0.5 = 0.15.

(b) To compute P(A or B), we use the formula P(A or B) = P(A) + P(B) - P(A and B). Substituting the given values, we Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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