probability in this bellow question

the contents of three urns are :

urn 1: 1 white,3 red,2black balls.

urn 2:  3 white,1 red,1 black balls.

urn 3: 3 white,3 red,3black balls.

two balls are choosen from randomly selected urn.If the bals are 1 white and 1 red ball,what is the probability that they come from urn 2 ?
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1 Answer

Since there are 3 white balls in urn 2 and there are 7 white balls in all, the probability of selecting a white ball from urn 2 is 3/7, and the probability of selecting a red ball from urn 2 is 1/7. The combined probability of one white and one red from urn 2 is (3/7)(1/7)=3/49.

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