![]() It's rare for high card to be the best hand if there's been a lot of betting Pair Pictured here we have high card Ace, and the player's full 5-card hand is A-K-Q-J-8. If multiple players make it to showdown with only a high card, the highest card wins. When you've got nothing else, the highest card plays. So here is a breakdown of every hand, starting from the worst hand, High Card, to the best hand, a Straight Flush. The best possible five-card hand is the goal, and we'll outline some scenarios below where you can see how this works in practice. Sometimes only one of your cards needs to be used, and sometimes you end up using just the community cards, and none from your hand. One important thing to note about Texas Hold 'em: In this variant you get two hole cards and five community cards, so seven cards total, BUT your job is to make the best possible five-card hand, which isn't always your hole cards plus three community cards. If you need a deeper refresher on the rules of Hold 'em, check out this article. There are tons of poker games, but we're going focus on the most popular for this article: No Limit Texas Hold 'em. Put simply, in poker, your job is to make the best possible five-card hand, ranging from a high card to a royal flush.Īt showdown (when the hand is over), the player with the best hand takes the pot, so knowing the ranking of hands is pretty important. This winds up with $6,589,440-77,220-51,200 600=6,461,620$ hands with three of a kind and nothing higher, in agreement with the Wikipedia page.We've compiled a definitive poker hand ranking list to specifically show what each possible hand can look like in poker's most popular game: Texas Hold 'em. There are $40$ straight flushes, $5$ ways to pick the rank that has three of a kind, and $3$ ways to pick the missing suit for $600$ We have deducted the straight flush hands twice, once for the straight and once for the flush. Then there are $5$ ways to pick which card will have the three of a kind and $3$ ways to pick the two other cards, but we have to divide by $3$ for which of the three of a kind was part of the original straight so $10,240\cdot 5 \cdot 3/3=51,200$ hands to deduct. The Wikipedia page shows (assuming that ace low straights count) there are $10,240$ ways to choose the five cards of a straight including straight flushes. Then there are $3$ ways to choose the suit of the flush and $=495$ ways to select the other cards for a total of $77,220$ hands with three of a kind and a flush (which includes the straight flushes).įor straights we will start with the straight. Again there are $13\cdot 4$ ways to get the three of a kind. We now need to deduct the number of hands that have a straight or flush. ![]() Note this is not many more than the Wikipedia result. ![]() Hands with three of a kind and no full house or four of a kind. There are $13$ ways to pick the three of a kind, $4$ ways to pick the three cards of that kind, $48$ acceptable cards for the first odd card, then $44,40,36$ for the following ones, but we have to divide by $4!=24$ for the orders of picking the four odd cards. First we count the number of hands with three of a kind, no four of a kind, and no other pair.
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