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 1 cherry candy and 2 lemon candies.
A) 0.0303
B) 0.0364
C) 0.0424
D) 0.3636

Question

Quizplus · Accepted Answer

The total number of candies is 6 cherry + 3 orange + 2 lemon = 11 candies. The probability of picking 1 cherry and 2 lemon candies in a draw of 3 candies from the bag is calculated using combinations. The number of ways to choose 1 cherry out of 6 is 6C1 = 6. The number of ways to choose 2 lemon out of 2 is 2C2 = 1. The total number of ways to choose any 3 candies out of 11 is 11C3 = 165. Therefore, the probability is (6C1 * 2C2) / 11C3 = (6 * 1) / 165 = 6 / 165 = 0.0364.

Find the Probability