In Poker, you are winning against the odds.

To get a Royal Flush in Poker, what is the probability of doing so? Four aces, anyone?

To answer these questions mathematically, we first need to know what kind of Poker is being played. When Texas Hold them first became popular, casual players flocked to Five-Card Draw Poker as the preferred variant. One in every 649,740 hands in Draw Poker ends up with a royal flush, which is extremely rare.

Any royal flush has those odds against it. The probability of obtaining a specific royal flush is 2,598,960. Getting struck by lightning is five times more likely than getting the same hand twice!

With the two cards in your hand and the five cards in the community, each player has seven cards at their disposal to hit the elusive royal flush. Hold them’s royal flush probability is one in every 30,940 hands. A royal flush is likely to occur in 7-Card Stud as in Hold them. Here are a few more fun poker probabilities of keeping you entertained:

It’s about one in 54,145 hands-on average to get four Aces in a 5-Card Draw.

In Hold’em, the odds of hitting four of a kind are 1 in 4,165 hands.

In Texas Hold’em, you’re likely to get a pocket ace once every 221 hands.

a game of Texas Hold’em


The deck is a standard 52-card deck.


Each player aims to win the pot, the total of all bets in a deal. If a player places a bet, they believe they have the best hand, or at least they want to appear to have the best hand. In most Poker games, the best five-card hand has the most valuable cards.


Each player receives three cards face down in this variation of High Low Poker. No matter how the players arrange them, the order cannot be changed afterward.


There is a time limit for placing bets. As each player receives their cards, a betting interval is established after each round of four face-up cards is dealt with. The next step is for each player to reveal their first face-down card, followed by a betting interval, and then their second face-down card before the final betting interval is revealed. Afterward, the final card is dealt.


This is the highest possible hand if at least one card is wild, such as a joker. Four 10s and a wild card, or two queens and three wild cards, are examples of five of a kind.

Straight Flush: The best possible hand when only the standard pack is used, and no wild cards are present. Straight flush: 10-9-8-7-6 of the same suit.