Texas Hold'em Poker: Play Free and Calculate Your Odds
Play Texas Hold'em poker free against computer players with play money, plus a poker odds calculator: your chance to win against random hands, outs, pot odds and hand rankings, and your session statistics kept on your device.
Play money only. No real money, no betting, no prizes: the chips here are worth nothing and nothing is uploaded. It is a game and a learning tool for the maths of poker.
New game of No-Limit Texas Hold'em
Computer players think about their hand strength (they simulate hundreds of run-outs against the hands your betting suggests), the pot odds and their position, and they bluff now and then. Tight players play few hands, loose ones many; aggressive ones bet and raise, passive ones mostly call.
What happened
Poker odds calculator
Tap a slot, then a card below. Leave a player on Random to give them any two cards. With every hand known the answer is exact (every possible board is dealt); otherwise it is simulated, with the margin of error shown.
Hands they end up with
Poker hand rankings, best to worst
"5 cards" counts the 2,598,960 possible five-card hands. "With 7 cards" is the chance that your best five out of seven cards (your two plus the five on the board, by the river) is that hand. Suits never rank: two equal hands split the pot. An ace can be high (A-K-Q-J-10) or low (5-4-3-2-A, the "wheel") in a straight, but a straight cannot wrap around (Q-K-A-2-3 is not a straight).
Starting hands chart
Each square is a two-card starting hand: pairs on the diagonal, suited hands (both cards the same suit) above it, offsuit below. The number is its chance of winning against one random hand if both go all-in before the flop (ties count half). Tap a square for details.
My poker stats
Kept only in this browser, from the hands you play on the Play tab.
Profit over time (in big blinds)
By position
How to play Texas Hold'em
Each player gets two private cards (the hole cards). Five shared cards are dealt face up in the middle: three at once (the flop), then one (the turn), then one more (the river). There is a round of betting before the flop and after each of those deals. At the end, every player still in shows their cards and the best five-card hand made from their two cards and the five on the board wins the pot. You can use both, one or none of your own cards.
Before the cards are dealt the two players left of the dealer button post the blinds (a small and a big forced bet) so there is always something to play for. In a betting round you can fold (give up), check (pass, when nobody has bet), call (match the bet) or bet / raise. In No-Limit you can bet all your chips at any time (all-in). The button moves one seat to the left after every hand.
Betting rules used here
- The smallest bet is the big blind. A raise must be at least as big as the last bet or raise in that round: if someone bets 100, the next raise is to at least 200; if they raise from 100 to 300, the next is to at least 500.
- You may go all-in for less than that. An all-in that is smaller than a full raise does not reopen the betting: players who already acted can only call or fold.
- If a player is all-in and others keep betting, the extra chips go into a side pot that only the players who put them in can win. Pots that tie are split; an odd chip goes to the first winner to the left of the button.
- Heads-up (two players) the button posts the small blind and acts first before the flop, last after it.
Pot odds, outs and equity
Equity is your share of the pot on average: your chance of winning plus your share of ties. Pot odds compare the price of a call with what you can win: calling 50 into a pot that will then hold 200 needs at least 50 / 200 = 25% equity to break even. Outs are the unseen cards that improve your hand to a likely winner; with 9 outs on the flop (a flush draw) you hit by the river about 35% of the time (the quick rule: outs x 4 on the flop, x 2 on the turn).
How the odds calculator works
When every player's cards are known it deals every possible remaining board and counts who wins: before the flop with two known hands that is all 1,712,304 boards, which runs in about a second in the background. When some hands are random it is a Monte Carlo simulation: hundreds of thousands of random deals, with the margin of error (one standard error) shown next to the result. AA against KK, for example, wins about 82% of the time (81.9% averaged over the suits; a bit less when the kings share no suit with the aces, because of their extra flush chances).
How the starting hands chart was made
For each of the 169 starting hands one representative was played against all 1,225 possible opponent hands, each on 1,000 random boards: about 1.2 million showdowns per hand, so every number is good to about 0.1%. Pocket aces win 85.2% against a random hand, the worst hand (3-2 offsuit) about 32%. Against several opponents every hand's chances drop, and big pairs suffer the most.
Questions
- Is this real-money poker or gambling?
- No. Only play chips with no value; there is nothing to buy, win or cash out, and no links to gambling sites.
- Do the computer players cheat?
- No. They only see their own two cards and what everyone did. They estimate their chances by simulating run-outs against the kinds of hands your bets suggest. The deck is shuffled fairly with your browser's random numbers.
- What do VPIP and PFR mean?
- VPIP ("voluntarily put money in pot") is the share of hands where you called or raised before the flop (posting a blind doesn't count). PFR is the share where you raised before the flop. Good players are usually around 20-25% VPIP at a full table.
- Which is better, a flush or a straight?
- A flush. It is rarer: with five cards there are 5,108 flushes against 10,200 straights.
- Is my game saved?
- Yes, in this browser: close the page in the middle of a hand and continue later. Your stats stay here too; nothing is sent anywhere.
