Question

Assume that each bag contains 6 balls. Bag a contains 3 red and 3 white, while bag b contains 2 red, 2 white, and 2 blue. You randomly select one ball from bag a, note the color, and place the ball in bag b. You then select a ball from bag b at random and make note of its color.

(1) What is the probability that both balls are red?

(2) What is the probability that both balls are red given that the first ball you drew was red?

Answer 1

1.
first draw is a red, now bag B contains
3R, 2W, and 2B
prob of both red = (1/2)(3/7) = 3/14


2.
prob that 2nd is read, given that the first is red = 3/7

Answer 2

nhgh