In Problems, use (a) a probability tree and (b) Bayes formula to find the probabilities. In Problems,

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In Problems, use (a) a probability tree and (b) Bayes’ formula to find the probabilities.


In Problems, each of urns I and II has 5 red balls, 3 white balls, and 2 green balls. Urn III has 1 red ball, 1 white ball, and 8 green balls.

An urn is selected at random, and a ball is drawn. If the ball is red, what is the probability that urn III was selected?

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