A bag contains 5 green balls and 9 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour?  Select
A) 11/21  B) 17/42  C) 23/42  D) 46/91  E) 51/91
The total number of ways to draw two balls is 14C2 = 91   The number of ways to draw two green balls is 5C2 = 10   The number of ways to draw two white balls is 9C2 = 36   P(two balls of the same colour) = 46/91   The answer is 46/91.
<result>D</result>
A bag contains 5 green balls and 9 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour?