100 card set? I bet you can't figure it out.

Question

Theres 100 cards in a set. 60 unique black cards with numbers respectfively labeled 1-60, and 40 unique white cards respectively labeled 1-40. No cards are the same.

 

You only get these cards from packs. Each pack contains any 2 randomly selected unique white cards from the pool of the 40 white cards in the set and 3 randomly selected unique black cards from the pool of 60 black cards in the set. There are not multiples of cards in a pack but there can be multiples of cards in a box (due to the nature of the packs). Each box has 3 packs in it.

 

What are my odds of getting a white card with the number 15 on it from 1 box?

Answer 1

The odds of getting a white 15 is 3/40.  the odds of getting it in one box is 9/40