Two urns contain white balls and yellow balls. the first urn contains 2 white balls and 7 yellow balls and the second urn contains 3 white balls and 10 yellow balls. a ball is drawn at random from each urn. what is the probability that both balls are white?

mc029-1.jpg

mc029-3.jpg

mc029-4.jpg

mc029-2.jpg

-- The first urn has 9 balls in it all together, and 2 of them are white.
If you don't peek, then the prob of pulling out a white ball is  2/9 .

-- The second urn has 13 balls in it all together, and 3 of them are white.
If you don't peek, then the prob of pulling out a white ball is  3/13 .

-- The probability of being successful BOTH times is

        (2/9) x (3/13)  =  ( 6/117 )  =  about  0.0513  or  5.13% (rounded)