A big bowl contains 3 red chips and 6 white chips. A chip is drawn at random. If it is red, that chip along with an additional red chip will be put back in the bowl. If it is white, the chip is simply returned to the bowl. Next a second chip is drawn. If the 2nd chip is white, what is the probability that the first is red? The answer as 9/29. But I don't know the work.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A big bowl contains 3 red chips and 6 white chips. A chip is drawn at random. If it is red, that chip along with an additional red chip will be put back in the bowl. If it is white, the chip is simply returned to the bowl. Next a second chip is drawn. If the 2nd chip is white, what is the probability that the first is red? 

The answer as 9/29. But I don't know the work.

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