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It is 1 in 17. Here's why:

There are 52 cards in a deck, 13 different value cards (A, 2, 3, etc.), and two cards are dealt. We're finding the odds of getting any pocket pair, not just one. This means that the first card dealt can be any value. The second card has to repeat the value of the first card. For example, the first card dealt is a 10, and now the second card has to be a 10. After the first 10 is dealt, there are 51 cards left in the deck, and 3 different 10's. Therefore, 3 over 51 simplifies to 1 over 17.

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14y ago
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14y ago

3 out of 51 or 16 to 1. regardless of what first card you are dealt there are 3 cards left in the deck that give you a pair. Since after the first card is dealt there are 51 cards left in the deck, the odds are 3 out of 51 or 16 to 1.

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Q: What is the odds of getting dealt a pocket pair in Texas Hold'em?
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