Problema Solution
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.
Answer provided by our tutors
The total number of candies is: 6 + 3 + 2 = 11
P(3 cherry candies) = C(6, 3)/C(11, 3)
C(6, 3) = 6!/(6 - 3)3!) = 4*5*6/(2*3) = 20
C(11, 3) = 11!/((11-3)!3!) = 9*10*11/(2*3) = 165
P(3 cherry candies) = 20/165
P(3 cherry candies) = 4/33
P(3 cherry candies) = 0.12121