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September 1, 2015

Homework Help: College Finite Math

Posted by Nahla on Thursday, April 2, 2009 at 9:01pm.

Your Open QuestionShow me another
If the ball is either blue or white, what is the probability that it was drawn from urn Y?
Assume that you randomly pick one of the urns: X, Y, or Z. You then randomly draw one ball out of the selected urn and note its color. The urns contain the following colored balls:

Urn X: 2 red, 1 white, and 2 blue.
Urn Y: 1 red, 2 white, and 3 blue.
Urn Z: 1 red, 2 white, and 1 blue.

If the ball is either blue or white, what is the probability that it was drawn from urn Y?

For this problem I did this and I can't figure out why it is wrong:

Pr(drawn from Y urn/is blue) + Pr(drawn from Y urn/ is
white)

(10/23)+(10/31)=540/713

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