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. What is the probability that you have at least 2 cherry candies?
A) 0.3362
B) 0.5758
C) 0.1515
D) 0.4909

Question

Quizplus · Accepted Answer

The total number of ways to pick 3 candies from 11 is 11C3 = 165. The number of ways to pick at least 2 cherry candies includes picking exactly 2 cherries and 1 non-cherry, or picking all 3 cherries. For exactly 2 cherries and 1 non-cherry, there are 6C2 * 5C1 = 15 * 5 = 75 ways (6C2 for the cherries and 5C1 for the non-cherry). For all 3 cherries, there are 6C3 = 20 ways. So, the total favorable outcomes are 75 + 20 = 95. The probability is 95/165 = 0.5758.

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