Question

Bag a contains 3 white marbles and 2 red bag b contains 6 white and 3 red a person draws a marble from each bag what’s the probability that the marbles are white

Answer 1

3 +2 = 5 total marbles in bag a. 3 are white, so they have a 3/5 probability of picking white in bag a.

6+3 = 9 total marbles in bag b. 6 are white, so they have a 6/9, which reduces to a 2/3 probability of getting white in bag b.

Probability of getting white in both: 3/5 x 2/3 = 6/15 reduces to 2/5 total probability.