Question

A package contains 9 candy canes, 6 of which are cracked. If 2 are selected, find the probability of getting no cracked candy canes.

Answer 1

3 out of 9?

Answer 2

so three are not cracked.

prob of getting 2 not cracked = 3/9)(2/8) = 1/12

or

choose 2 from the 3 non-cracked = C(3,2) = 3
choose any 2 of the 9 = C(9,2) = 36
so prob = 3/36 = 1/12