Hold’em Odds & Probability: The Eight Numbers That Run Every Hand

The line between fish and shark isn't quick mental arithmetic — it's recognizing the same eight situations every hand and knowing what they're worth. This page is the short list: starting-hand odds, draw probabilities, and the outs you'll see again and again.

The shortcut that runs the table

Outs × 4 on the flop. Outs × 2 on the turn.

Count the cards that improve you. Multiply by four if both turn and river are coming; multiply by two if there's just one card left. The result is your equity, in percent. Off by a hair past 8 outs — but the speed is the point.

Type your outs
9
9 × 4flop, both cards = 36%
9 × 2turn, one card = 18%
Real probability (vs the shortcut)
Flop → river 35% -1
Turn → river 20% +2

At low out counts, the rule of 2 and 4 is nearly perfect. Use it without thinking.

The eight to memorize

Every draw you’ll ever flop, in one table.

Click any row. If you can recall these seven percentages cold, you're never in the dark about a draw again — and you'll know whether the price you're being offered is a gift or a trap.

Before the flop

Six matchups that shape every preflop decision.

Pocket aces are an 80% favorite against any other single hand. Pocket pairs vs two overcards is a coin flip. Most of preflop is just recognizing which of these six you're in.

AApair
81.7%
all-in preflop
KKpair
18.3%

Even the worst-case for kings — running into aces — is still 18%. AA is a huge but not insurmountable favorite.

Counting carefully

Outs aren’t just numbers — they’re cards.

Most miscounts happen at combo draws — flush plus straight draw, set plus flush. The trick is never to double-count: if a card helps two ways, it still only counts once.

Flush + OESD

Counting 15 outs

Flush cards 9 OESD cards (no double-count) 6
Turn → river 15 × 2 = 30%
Flop → river 15 × 4 = 60%
Pot odds needed on flop 0.7 : 1
The whole game in one comparison

Are you priced in?

Plug in the pot, the bet, and your outs. The bar on top is the price the pot is offering. The bar below is the equity you have. If equity beats price, call. If not, fold. That's the entire framework.

Pot odds you’re getting 19%
Equity you have 36%
Call. Your 36% equity is above the 19% pot odds threshold by 17 points — long-run profitable.
If you remember nothing else

Three habits. Every decision.

01

Multiply outs by 2 and 4

Turn → river: outs × 2. Flop → river: outs × 4. Off by a few points past 8 outs — close enough at the table, every time.

02

Memorize four draws

Flush 35%. Open-ended 31%. Gutshot 17%. Set-to-boat 33%. Recall these instantly and the rest follows.

03

Compare equity to pot odds

If your equity exceeds the percentage of the pot you’re being asked to pay, call. If not, fold. The whole game lives inside that one comparison.