SOLUTION: 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 orange candies?

Algebra ->  Probability-and-statistics -> SOLUTION: 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 orange candies?      Log On


   



Question 203954: 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 orange candies?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
number of ways to select 3 from 11 ___ 11C3 = 165

ways to select 2 orange out of 3 ___ 3C2 = 3

ways to select 2 orange out of 11 ___ 3 * 8 = 24

ways to select 3 orange out of 11 ___ 1

probability of at least 2 orange ___ (24 + 1) / 165 = 5 / 33