Q: During a card game, I said that the probability of getting dealt two aces is the same as getting an ace and deuce - that the change of getting any wo cards is the same, whatever they are. My friends say I'm wrong. Who's right.
A: Your friends are. To illustrate, let's narrow the question to the red or black half of the dick with only two aces and deuces. Lay the four cards in a grid - aces on the left and deuces on the right, like this:
ace deuce
ace deuce
To get two aces, you must be dealt the left column. (And to get two deuces, you must de dealt the right column.) But to get one ace and one deuce, you can de dealt either the top rop or the bottom row. So getting one of each is more likely.
-Parade Magazine; 1/9/09
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