Probability Question regarding sets

Question

I have 3 sets of cards all mixed together. Set A has 60 Cards. Set B has 15 Cards. Set C has 90 Cards. Adding those together, there are 165 total. What is the probability of getting the complete Set B (all 15 Cards) after 127 selections?

Answer 1

There are 15 in set B and 150 not in B. We select 15 of 15 in B and 112 of 150 not in B. This is the hypergeometic distribution.

C(15,15)C(150,112)/C(165,112) = C(150,112)/C(165,112) = C(150,38)/C(165,38) = P(150,38)/P(165,38) = P(127,15)/P(165,15) is approximately .0161