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.
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.
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 Cards | Flopping | Odds |
Unpaired Hole Cards | exactly one pair by pairing a hole card | 26.939% |
exactly two pair by pairing a hole card and pairing on the board | 2.02% | |
exactly two pair by pairing each of your hole cards | 2.02% | |
exactly trips by flopping two cards to a hole card | 1.347% | |
exactly a full house, trips of one hole card and pairing the other | 0.092% | |
exactly four of a kind, three cards to one of your hole cards | 0.01% | |
Paired Hole Cards | exactly two pair by pairing the board | 16.163% |
exactly trips by flopping a set for your pocket pair | 10.775% | |
exactly a full house, a set to your hole pair and pairing the board | 0.735% | |
exactly a full house, by the board tripping up | 0.245% | |
exactly four of a kind, two cards to your hole pair | 0.245% | |
Two Unsuited Cards | a flush draw | 2.245% |
Two Suited Cards | a flush (including straight flush) | 0.842% |
a flush draw | 10.944% | |
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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