Module 2: The math you cannot skip · Lesson 4 of 12

Pot odds and outs

The single most useful calculation in poker. How to count cards that help you, price them against the bet, and decide whether to call.

Alright partner, lesson 4. Tex is doing the talking.

The one calculation you actually need

Pot odds is the ratio of the bet you have to call to the total size of the pot after you call. Outs are the cards that, if they come on the next street, complete your hand. Put them together and you know whether a call is profitable.

Most players who lose money at poker lose it by paying too much to chase draws. This is the lesson that stops that.

Pot odds, the formula

You are facing a $20 bet into a $40 pot. You need to call $20 to win a pot that will be $80 after your call ($40 already there plus the $20 bet plus your $20 call). Your pot odds are $20 to $80, or 1 to 4, or 25 percent. You need to win the hand 25 percent of the time or more for the call to break even.

That is the calculation. There is nothing else to it. Bet you are facing, divided by the total pot after your call, equals the equity you need.

Outs, the count

An out is a card that completes your hand. You have nine outs to a flush if you have four cards of one suit and the board has two more. There are 13 cards of each suit in the deck, you can see four of them (two in your hand, two on the board), so nine remain. Each one of those nine, on the turn or river, makes your flush.

You have eight outs to an open-ended straight draw. Four cards that complete the low end of the straight, four that complete the high end. You have four outs to gutshot. You have two outs to make a set when you hold a pocket pair (the two remaining cards of your pair rank). You have three outs to make a pair when you hold one specific overcard.

The rule of two and four

Counting outs and turning them into equity is the next step. The rule of two and four is the shortcut everyone uses. With one card to come (you are on the turn), multiply your outs by two to get a rough percentage of hitting. With two cards to come (you are on the flop and will see both turn and river), multiply by four.

You flopped a flush draw. Nine outs. Two cards to come. 9 x 4 = 36 percent equity. That is your rough chance of completing the flush by the river.

You flopped an open-ended straight draw. Eight outs. One card to come because you are facing a turn bet. 8 x 2 = 16 percent equity.

The rule is approximate. It overshoots slightly with many outs and on early streets. But the error is small enough that it works at the table without paper.

Pot odds versus equity: the decision

Compare the equity you need (pot odds) to the equity you have (rule of two and four). If your equity is higher than the price, call. If it is lower, fold. If it is roughly equal, the call is break-even.

Flopped flush draw, facing a $40 bet into a $60 pot. Pot odds: 40 / (60+40+40) = 28.5 percent needed. You have 36 percent equity. Call is correct.

Flopped flush draw, facing a $100 bet into a $60 pot. Pot odds: 100 / (60+100+100) = 38.5 percent needed. You have 36 percent equity. Fold is correct, just barely.

Implied odds: the adjustment

Pot odds assume the hand ends when you call. Often it does not. If you complete your flush on the turn, you can win more money on the river by getting your opponent to call a bet there. That future money is called implied odds.

You do not need to compute implied odds precisely. You need to know they exist, and that they justify calling slightly worse than pure pot odds when you are deep-stacked against an opponent who will pay off when you hit. You should not lean on them against a tight opponent or with a hand that is obvious when it gets there.

Why this matters

Every losing player at the table is making at least one bad pot-odds call per orbit. It is the single most common leak in poker. Counting outs and comparing them to the price you are paying is the cheapest, most reliable edge you can build into your game.

Takeaways

  • Pot odds is the bet you are facing divided by the total pot after your call. That is the equity you need to win to break even.
  • Outs are the cards that complete your hand. Nine for a flush draw, eight for open-ender, four for gutshot, two for set-mining a pair.
  • Rule of two and four: outs times two if one card to come, times four if two cards to come, gives a rough equity percentage.
  • Call when your equity is higher than the pot odds you are getting. Fold when it is lower. Adjust slightly for implied odds against opponents who will pay you off when you hit.

Tex gut-check

One question, partner. Pass it and lesson 5 unlocks.

The pot is one hundred dollars. Your opponent bets fifty. To call you'd be putting in fifty to win one hundred and fifty. What are the pot odds you're getting on the call?

Continue to lesson 5