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.
-1 cherry, 2 lemon
A) .0303
B) .0364
C) .3636
D) .0424

Question

Quizplus · Accepted Answer

The probability of drawing 1 cherry and 2 lemon candies can be calculated using combinations. The total number of ways to choose 3 candies from 11 is C(11,3). The number of ways to choose 1 cherry from 6 is C(6,1), and the number of ways to choose 2 lemons from 2 is C(2,2). The probability is (C(6,1) * C(2,2)) / C(11,3) = (6 * 1) / 165 = 0.0364.

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