Question

A box contains 3 cherry frozen treats and 2 grape frozen treats. Maggie takes a treat from the box without looking, gives it to her brother, and then selects another treat. What is the probability that her brother gets a grape treat and she gets a cherry treat?

Answer 1

3/10 or 6/20

Explanation:

Answer 2

6/20 = 3/10

Explanation:

Her brother gets the first treat. There are 2 grape treats out of 3+2 = 5 total; this is a probability of 2/5.

Maggie gets the second treat. There will still be 3 cherry treats left, but only 5-1 = 4 treats remaining; this is a probability of 3/4.

Together this gives us 2/5(3/4) = (2*3)/(5*4) = 6/20 = 3/10