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Poker Hand Win Rates

1 October 2009

Poker Hand Win Rates

When you are playing Texas Holdem Poker, whether it is at your home poker game, or at a casino, it is extremely important to know which poker hands are strong, and which are weak.  Of course, any one who has watched the World Series Of Poker on ESPN knows that pocket aces are the best starting hand, and that 7-2 off-suit is one of the worst starting hands.  However, one of the things that you might not have seen before is how often any starting hand beats any other random hand that your opponent could be holding. 

If you think this chart is useless, try answering the following questions from memory before you look.

  1. Ace-King is an above average hand, but exactly how often does it win?
  2. What is the poker hand that can be expected to win exactly 50% of the time against a random hand?
  3. What is the worst first hole card that you can be dealt that you will win 50% of the time against a random hand regardless of the second card?
  Hand Win Percentages Against A Random Hand
  A K Q J 10 9 8 7 6 5 4 3 2
A 0.851 0.669 0.662 0.654 0.647 0.629 0.621 0.611 0.601 0.599 0.590 0.581 0.573
K 0.654 0.824 0.633 0.624 0.617 0.599 0.583 0.575 0.568 0.557 0.549 0.540 0.532
Q 0.644 0.615 0.798 0.602 0.594 0.577 0.561 0.544 0.537 0.528 0.518 0.511 0.502
J 0.636 0.605 0.581 0.775 0.575 0.558 0.540 0.522 0.506 0.499 0.490 0.482 0.475
10 0.628 0.597 0.572 0.553 0.748 0.539 0.524 0.505 0.490 0.473 0.465 0.457 0.448
9 0.607 0.577 0.554 0.532 0.516 0.720 0.507 0.491 0.474 0.457 0.438 0.432 0.425
8 0.599 0.560 0.536 0.515 0.497 0.482 0.691 0.478 0.463 0.446 0.427 0.409 0.402
7 0.589 0.552 0.517 0.496 0.479 0.463 0.450 0.662 0.453 0.437 0.419 0.401 0.382
6 0.577 0.542 0.511 0.478 0.461 0.446 0.433 0.424 0.631 0.432 0.414 0.396 0.378
5 0.578 0.533 0.502 0.472 0.442 0.426 0.414 0.405 0.401 0.603 0.415 0.397 0.378
4 0.567 0.524 0.492 0.462 0.435 0.407 0.394 0.386 0.381 0.381 0.569 0.387 0.369
3 0.558 0.514 0.484 0.453 0.426 0.400 0.374 0.366 0.361 0.362 0.351 0.536 0.361
2 0.550 0.506 0.473 0.444 0.417 0.391 0.368 0.346 0.341 0.343 0.333 0.323 0.503

 

Reading This Chart

This color coded chart shows exactly how likely a poker hand is expected to win against any other random hand.  It was created by running millions of random hands against each other and tracking the winners.  The lower left half of the chart contains cards that are off-suit, they win slightly less than the cards on the upper right half, which are suited.  The diagonal from the upper left to the lower right contains pocket pairs.

This chart shows the odds against one opponent.  Think of it as a blind vs. blind or Heads Up.  If you are in the small blind and see your hand, then the chart will tell you how often it should win against the big blind.

If you want to see how well each hand does against multiple opponents see Poker Win Percentages Against Multiple Hands

Answers To The Poker Quiz

  1. Ace-King suited wins 66.9% of the time, Off-suit it wins 65.4% of the time
  2. Queen-5 off-suit, and 9-8   10-7    Jack-6 suited all win just slightly more than 50% of the time against a random hand
  3. If you are dealt a King to start you will win 50% or more regardless of the second card.

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