See also: sample space and event (probability theory). Straight flush — Each straight flush is uniquely determined by its highest ranking card; these ranks go from 5 (A-2-3-4-5) up to A (10-J-Q-K-A) in each of the 4 suits. For any particular suit where the straight flush is ace-high, the extra 2 cards may be chosen from the remaining 47 cards. The probability of being dealt a royal flush is the number of royal flushes divided by the total number of poker hands. We now carry out the division and see that a royal flush is rare indeed. There is only a probability of 4/2,598,960 = 1/649,740 = 0.00015% of being dealt this hand.

Chances of a royal flush in texas holdemTexas

Our common flop odds chart shows the exact odds of flopping specific hand or draw types with various hole card groupings in Texas Holdem.

Remember that every mistake you make preflop will only be magnified on later streets. The chart below clearly shows that playing weak hole cards (for example three gapped connectors) will rarely give you the best hand on the flop.

Flush

This is why you should play only a narrow range of the best hole cards and fold everything else. It is especially important when you are a beginner. The more weak hands you play, the more money you will lose in the long term.

Chances Of Hitting A Royal Flush In Texas Holdem

Common flop odds chart

Hole CardsFloppingOdds
Unpaired Hole Cardsexactly one pair by pairing a hole card26.939%
exactly two pair by pairing a hole card and pairing on the board2.02%
exactly two pair by pairing each of your hole cards2.02%
exactly trips by flopping two cards to a hole card1.347%
exactly a full house, trips of one hole card and pairing the other0.092%
exactly four of a kind, three cards to one of your hole cards0.01%
Paired Hole Cardsexactly two pair by pairing the board16.163%
exactly trips by flopping a set for your pocket pair10.775%
exactly a full house, a set to your hole pair and pairing the board0.735%
exactly a full house, by the board tripping up0.245%
exactly four of a kind, two cards to your hole pair0.245%
Two Unsuited Cardsa flush draw2.245%
Two Suited Cardsa flush (including straight flush)0.842%
a flush draw10.944%
Connectors
(54 to JT)
a straight (including straight flush)1.306%
an 8 out straight draw (excluding gutshots)10.449%
One Gapped
Connectors
(53 to QT)
a straight (including straight flush)0.98%
an 8 out straight draw (excluding gutshots)8.08%
Two Gapped
Connectors
(52 to KT)
a straight (including straight flush)0.653%
an 8 out straight draw (excluding gutshots)5.224%
Three Gapped
Connectors
(A5 to AT)
a straight (including straight flush)0.327%
an 8 out straight draw (excluding gutshots)2.612%

More articles on poker probability:

Poker odds calculator
Poker outs and odds
Pot odds and expected value
Sklansky bucks
Implied odds
Reverse implied odds
Poker hand probability chart
Common flop odds chart
Pocket pairs - flopping overcards odds

Probability Of A Straight Flush In Texas Holdemush In Texas Hold Em

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