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Two urns contain white balls and yellow balls. The first urn contains 3 white balls and 6 yellow balls and the second urn contains 7 white balls and 3 yellow balls. A ball is drawn at random from each
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Two urns contain white balls and yellow balls. The first urn contains 3 white balls and 6 yellow balls and the second urn contains 7 white balls and 3 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?

User Neli
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2 Answers

5 votes
The first urn has 9 balls and 3 of them are white.
The probability of pulling out a white one is 3/9 = 1/3 .

The second urn has 10 balls and 7 of them are white.
The probability of pulling out a white one is 7/10.

The probability of BOTH things happening is (1/3) · (7/10) = 7/30 = 0.2333...
User Antoin
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8.5k points
6 votes
The first is a 1/3 chance, the second is a 3/10 chance.  Multiply them both, you get 3/30, or 1/10 chance.
User BlackMamba
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8.2k points
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