A card game uses a pack of 24 cards, consisting of ace, king, queen, jack, 10, and 9 in each of the four suits spade, hearts, diamonds and clubs. A hand consist of 6 cards. Find the probability a hand includes all four aces.

Answer 1

There are 24C6 different hands. That's 134,596.

Given 4 aces, there are 20C2 ways to pick the other two cards, That's 190.

So, p = 190/134596 = 0.0014