A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probability.
-2 orange, 1 lemon
A) .3636
B) .0303
C) .1091
D) .0364

Question

Quizplus · Accepted Answer

The total number of ways to choose 3 candies from 11 is C(11,3). The number of ways to choose 2 orange and 1 lemon is C(3,2) * C(2,1). The probability is the ratio of these two values: (C(3,2) * C(2,1)) / C(11,3) = (3 * 2) / 165 = 6/165 = 0.0364.

A Bag Contains 6 Cherry, 3 Orange, and 2 Lemon