if you are dealt 7 cards from a shuffled deck of 52 cards, find the probability of getting 3 queens and four kings
We want to choose 3 of the 4 queens and all 4 kings
The first thing can be done in 4 ways and the second thing can be done in only 1 way
And the total number of ways of choosing any 7 of 52 cards = 133,784,560
So the probability is [ 4 * 1] / 133784560 = 0.0000000298988164 → about .000003%