What this pot odds calculator does
Every call with a draw is the same sum: the price the pot is offering against the chance the draw comes in. This calculator does both halves and then the comparison. Enter the pot before the bet, the bet you are facing and your outs, and it returns the pot odds as a ratio, the equity you need as a percentage, the exact probability of hitting on the next card or by the river, and a verdict. When the direct price is wrong, it tells you how much more you would need to win on later streets, which is what "implied odds" means in a number rather than a hope.
The arithmetic, so you can check it
With 100 in the pot and a bet of 75 to call, you are putting in 75 to win 175, which is 2.33 to 1. You need to win one time in 3.33, or 30%, to break even. A flush draw on the flop has nine outs among 47 unseen cards, 19.1% to hit on the turn, so the direct price is wrong by almost eleven points and the call needs implied odds of about 142 more to break even: when the flush comes you must win, on average, that much extra from the opponent. On the turn the same draw is 9 in 46, 19.6%; with both cards to come it is 35.0%, which only matters if you are all-in or will certainly see the river for the one bet.
The rule of 2 and 4 is shown next to the exact figure for comparison. Outs times two is close for one card; outs times four overstates big draws over two cards, where 15 outs is 54.1% rather than 60.
Counting outs honestly
An out is a card that makes your hand the winner, not a card that improves it. A flush draw against a set has nine flush cards, but the ones that pair the board hand the set a full house, so the real count is closer to seven. An open-ended straight draw has eight, unless some of them put a fourth flush card on the board. Overcards are the most overcounted outs in poker: ace-king against a pair of jacks has six, but against a pair of aces it has three, and against two pair it has none. The presets give the standard counts; adjust them for the board you are actually looking at. When the hands are known, the Hold'em odds calculator plays every board out and counts the tainted outs for you.
Why 47 and 46
You have seen your two cards and the three on the flop, so 47 cards are unseen, and every one of them is equally likely to be the next card dealt, including the ones in your opponents' hands and the ones that were folded. Cards you cannot see do not change the odds; only cards you can see do. On the turn it is 46. Nothing is gained by trying to guess how many of your outs are in the muck.
Implied odds and reverse implied odds
When the verdict says the direct odds are short, the number that follows is the extra money you need to win when you hit, on top of the pot as it stands, for the call to break even. Whether you can win it depends on the stacks, on whether your draw is obvious when it arrives, and on whether the opponent is the kind who pays off. A flush that completes on a two-suited board against a careful player is worth less than the number suggests; a disguised straight against a stubborn one is worth more. The calculator gives you the threshold, and the read is yours. The reverse case, a draw that can hit and still lose, is the reason to count outs conservatively in the first place.
In a tournament the price is also distorted by payouts: a call that is right on pot odds can be wrong on ICM. The ICM calculator gives the bubble factor that adjusts the equity you need.
Frequently asked questions
Compare the price to your chance. If there is 100 in the pot and you face a bet of 75, you call 75 to win 175, which is 2.33 to 1, and you need to win more than 1 in 3.33 times, or 30%. If your draw comes in more often than that you call; if not, you need implied odds or you fold.
On the flop you have seen your two cards and three on the board: 47 cards are unseen, and every one of them is equally likely to be the turn, including the ones in your opponents' hands and the muck. On the turn it is 46. Folded cards do not change the odds because you do not know what they were.
Close enough on the flop and turn for one card, where outs times 2 is within a point of the exact figure. For two cards to come, outs times 4 overstates big draws: 15 outs is 54.1% exactly, not 60%. The calculator shows both so you can see the gap.
Implied odds. When the direct pot odds are short, the call can still be right if you expect to win extra money on later streets when you hit. The number is the extra amount, on top of the current pot, that would make the call break even. If you cannot realistically win that much, fold.
No, and neither does any outs calculator. Outs assume that when you hit you win. If some of your outs are tainted, such as a flush card that also pairs the board against a set, count them as half an out or leave them off. For a full answer, put the hands into the Hold'em odds calculator, which plays every board out.
