Find the probability using combinations.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 1

Number of ways to take any "three"
= C(11,3) = 165
number of ways to select 3 cherries from 6
= C(6,3) = 20
prob (3 cherries) = 20/165
= 4/33

direct way:
prob(3 cherries) = (6/11)(5/10)(4/9)
= 4/33