Question 588415
There are <img src="http://latex.codecogs.com/gif.latex?\LARGE _{11}C_3 = \frac{11!}{3!(11-3)!} = 165" title="\LARGE _{11}C_3 = \frac{11!}{3!(11-3)!} = 165" /> different ways to select 3 candies

Note: this is assuming order doesn't matter

Of these 165 ways, there are only 6 ways to select 1 cherry candy and 2 lemon candies. Why 6? Since there are only 2 lemon candies and there are 3 slots, this means that there's only one slot left for the cherries. There are 6 cherries to fill that last slot.

So the probability is {{{6/165 = 2/55}}}