If 2 cards from a standard deck are selected randomly, what is the probability that either two kings or at least 1 ace occurs? (There are 4 Aces, 4 kings and 52 total cards in a standard deck.)
Here's my work, I know it's wrong but I don't know where.
There are 52 choose 2 ways to choose 2 cards, which is 1326.
There are 4 choose 2 ways to get 4 kings
20 ways to get the aces.
(20+4)/1326 = 1/221
This is not possible because to get one ace it is 1/13 chance.
Can someone tell me what I did wrong?