Conditional Probability Independence and Bayes Theorem You a

Conditional Probability, Independence and Baye’s Theorem

You are given the following information: (A\\B) = 0.4, (~ A| ~ B) = 0.4 and (A) = 0.5 Find F(B).

A and A\' are mutually exclusive and exhaustive.

Hence P(A/B) + P(A/B\') = P(A) = 0.5

Or P(A/B\') = 0.5-0.4 = 0.1

Similarly

P(A/B)+P(A\'/B) = 1/P(B)

P(A) = 0.5

Hence P(B) = 1-0.5 = 0.5

$Conditional Probability, Independence and Baye’s Theorem You are given the following information: (A\\B) = 0.4, (~ A| ~ B) = 0.4 and (A) = 0.5 Find F(B).Solutio$

Conditional Probability Independence and Bayes Theorem You a

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