Two urns contain white balls and yellow balls. The first urn contains 3 white balls and 6 yellow balls and the second urn contai

Question

4 years ago

8

Two urns contain white balls and yellow balls. The first urn contains 3 white balls and 6 yellow balls and the second urn contai

ns 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?

Mathematics

2 answers:

Otrada [13] · Answer 1 · 2021-11-24T14:36:24+03:00

Otrada [13]4 years ago

5 0

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.

Alik [6] · Answer 2 · 2021-11-24T15:59:45+03:00

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...