Hello, zorro!

One bag contains 4 white balls and 2 black balls.

Another contains 3 white balls and 5 black balls.

If one ball is drawn from each bag, find the probability that

. . (a) both are white

. . (b) one is white and one is black.

We have: .

(a) Both White.

. .

Therefore: .

(b) one W, one B

There are two scenariors:

. . [1] W from Bag 1, B from Bag 2: .

. . [2] B from Bag 1, W from Bag 2: .

Therefore: .