Without replacement Question

Question

A bag has 8 green, 5 white and 7 purple balls. You decide to select two balls from the bag with replacement. Let Event A: Exactly one balls is green and Event B: at least one ball is white. a. Are events A and B mutually exclusive?b. What is the probability of selecting 2 green balls?

Answer 1

8G, 5W, 7P

A) 1G, B)W= 1 or 2

The two events are not mutually exclusive as 1G1W would satisfy either event A or B

P(2G) = 8/20 x 8/20 = 2/5 x 2/5 = 4/25 = 16/100 = 0.16 = 16% chance