Question

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. one of each flavor

Answer 1

Probability( cherry , orange then lemon = 6/11 * 3/10 * 2/9  =  36/990 =  2/55

There are 3!  (=6) ways of ordering these  selections so the required  probability  =  (6*2) / 55  = 12/55 answer