How Likely Are You To Have Pocket Aces?

A simple post for today: How likely are you to have pocket aces?

With 52 cards in the deck, the chance of being dealt one of four aces in the deck is 4÷52. For your second hole card, the chance of being dealt one of the three remaining aces is 3÷51.

Because one event is dependent on the other, we multiply these probabilities together to give us:

(4÷52) × (3÷51) = 0.004525

Multiply this by 100 to give a percentage and we get 0.4525…% chance of being dealt pocket aces.

This is equates to being dealt aces once every 221 hands or as a ratio 1:220.

So there you have it. It’s not that often you will be dealt pocket aces, or indeed any specific pocket pair, so play them wisely when you have them.

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