Find the probability. Round to the nearest ten-thousandth when necessary.
-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 that you have one candy of each flavor.
A) 0.3636
B) 0.2182
C) 0.0667
D) 0.1818

Question

Quizplus · Accepted Answer

The probability of picking one candy of each flavor is calculated by finding the number of favorable outcomes divided by the total number of ways to pick 3 candies. The number of favorable outcomes is the product of choosing 1 cherry, 1 orange, and 1 lemon candy, which is (6 choose 1) * (3 choose 1) * (2 choose 1) = 6 * 3 * 2 = 36. The total number of ways to choose 3 candies from 11 is (11 choose 3) = 165. Therefore, the probability is 36/165 = 0.2182.

Find the Probability