Poker Hand Odds Calculator

In short There are 2,598,960 distinct five-card hands in a 52-card deck, and every poker probability follows from counting how many of them fall into each category. A royal flush is 4 hands — one per suit — which is 1 in 649,740. A full house is 3,744 hands, or 1 in 694. One pair is 1,098,240 hands, which is 42.26% of everything, and hands with nothing at all are 1,302,540, or 50.12%. Half of all hands miss even a pair, which is exactly why a single pair wins so many showdowns. The most useful thing on this page is that the ranking of poker hands is not a convention someone chose. It IS the counting: each category is rarer than the one below it, and that ordering falls straight out of the arithmetic. A flush beats a straight because there are 5,108 flushes against 10,200 straights — fewer ways to make it, so it ranks higher. Every other pair in the table works the same way. Everything above one pair, added together, is only 7.63% of hands. These are the odds of being dealt each hand cold from a full deck. Texas hold'em is a different question, because you see seven cards and take the best five from them, which makes every category considerably more common than the figures here.