A release-checked easy problem for training Combinations and Permutations.
Question
A box has $15$ kittens in it. $8$ of the kittens are black and $7$ of the kittens are white. You randomly pull kittens out of the box until its empty. What is the probability that when the last white kitten is pulled out of the box, there are exactly $3$ black kittens left in the box?
Practice focus
This Probability problem is tagged Combinations and Permutations. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.