Odds and Math
Counting One-Pair Hands in a Five-Card Deck
Exactly one pair accounts for 1,098,240 of the 2,598,960 five-card hands. The count excludes every stronger category.
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6 posts tagged "combinations".
Exactly one pair accounts for 1,098,240 of the 2,598,960 five-card hands. The count excludes every stronger category.
About 17.2 percent of flops contain a pair or three of a kind. The count uses the full deck and nothing more.
Same-color hole cards are about 49 percent of two-card hands. The count is small, and it is not the suited count.
In a five-card hand, a royal flush is 4 combinations out of 2,598,960. The count, and what it does not predict.
A pocket pair flops a set or better about 11.8 percent of the time. The count, shown in full, with no betting advice.
Counting the 1,326 possible starting hands shows how rare pocket aces are and how common pairs and suited cards really are.