Two urns contain white & yellow balls. The first urn has 6 white & 9 yellow balls. The second urn has 8 white & 7 yellow balls. If a ball is drawn at random from each urn what is the probability both are white?
Probability of drawing a white ball from an urn is number of white balls in the urn divided by total number of balls in the urn. So probability of drawing a white ball from the first urn is
Similarly probability of drawing a white ball from the second urn is
Now since those two drawings are independent the probability that both balls are white is equal to product of `P_1` and `P_2` that is