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 all cherry candies.
A) 0.7272
B) 0.3636
C) 0.1212
D) 0.1091

Question

Quizplus · Accepted Answer

The total number of candies is 6 cherry + 3 orange + 2 lemon = 11 candies. The number of ways to choose 3 candies out of 11 is calculated using combinations: 11C3 = 11! / (3!(11-3)!) = 165. The number of ways to choose 3 cherry candies out of 6 is 6C3 = 6! / (3!(6-3)!) = 20. Therefore, the probability of choosing 3 cherry candies is 20/165, which simplifies to 4/33, or approximately 0.1212 when rounded to the nearest ten-thousandth.

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