Lyle Stuart. Retrieved 5 August Small Stakes Hold 'em. CRC Press. The Everything Poker Strategy Book. Retrieved 1 August United States of America: Evergent Teknologies.

Winning Concepts in Draw and Lowball 2nd ed. Small Stakes Hold 'Em 1 ed. Two Plus Two Publishing. Poker Talk. Cardoza Publishing. Poker Tips that Pay.

To calculate the probability of being dealt a royal flush, we need to know two numbers:. Once we know these two numbers, the probability of being dealt a royal flush is a simple calculation.

All that we have to do is to divide the second number by the first number. Some of the techniques of combinatorics , or the study of counting, can be applied to calculate the total number of poker hands.

It is important to note that the order in which the cards are dealt to us does not matter. Since the order does not matter, this means that each hand is a combination of five cards from a total of A royal flush is a flush.

With a king-high hand, you have a 2 in 47 chance of getting either a royal flush or king-high straight flush by drawing a nine of the same suit , which is the second-best poker hand you can get.

You should also try to play for the royal only if you have consecutive cards and can try to draw the cards outside those you already have instead of those between those you have.

Not Helpful 1 Helpful 4. Ace, Jack, King, 10, and Queen of the same suit. This is the best hand in the game. Not Helpful 0 Helpful 0. Include your email address to get a message when this question is answered.

Although the chances of a single royal flush in a poker game are remote, it is possible for more than one player to have one. In such cases, there are two ways to play.

The other way is to rank the suits, usually in order high-to-low, as spades, hearts, diamonds, and clubs. Some casinos use this ranking to determine who wins the pot, while others use it to award extra chips or assign seats in subsequent rounds of poker tournaments.

Helpful 0 Not Helpful 0. Submit a Tip All tip submissions are carefully reviewed before being published. The frequencies are calculated in a manner similar to that shown for 5-card hands, except additional complications arise due to the extra two cards in the 7-card poker hand.

It is notable that the probability of a no-pair hand is less than the probability of a one-pair or two-pair hand.

The Ace-high straight flush or royal flush is slightly more frequent than the lower straight flushes each because the remaining two cards can have any value; a King-high straight flush, for example, cannot have the Ace of its suit in the hand as that would make it ace-high instead.

Since suits have no relative value in poker, two hands can be considered identical if one hand can be transformed into the other by swapping suits.

Eliminating identical hands that ignore relative suit values leaves 6,, distinct 7-card hands.

The number of distinct 5-card poker hands that are possible from 7 cards is 4, Perhaps surprisingly, this is fewer than the number of 5-card poker hands from 5 cards because some 5-card hands are impossible with 7 cards e.

Some variants of poker, called lowball , use a low hand to determine the winning hand. In most variants of lowball, the ace is counted as the lowest card and straights and flushes don't count against a low hand, so the lowest hand is the five-high hand A , also called a wheel.

The frequencies given are exact; the probabilities and odds are approximate. As can be seen from the table, just over half the time a player gets a hand that has no pairs, three- or four-of-a-kinds.

If aces are not low, simply rotate the hand descriptions so that 6-high replaces 5-high for the best hand and ace-high replaces king-high as the worst hand.

In some variants of poker a player uses the best five-card low hand selected from seven cards. The table does not extend to include five-card hands with at least one pair.

What Beats Royal Flush? Royal Flush. Straight Flush. Four of a Kind. Full House. A pair plus three of a kind in the same hand. Five cards, all in one suit, but not in numerical order.

Five cards in numerical order, but not of the same suit. Three of a Kind. Two Pair.