--- title: "2 Outs on the Flop: Odds to Hit" url: "https://georgelipoker.com/outs/2-outs-flop.md" canonical_url: "https://georgelipoker.com/outs/2-outs-flop" last_updated: "2026-10-20" type: "reference" summary: "With 2 outs on the flop you hit by the river 8.42% of the time. Odds against, the shortcut error and a verdict for 12 bet sizes." related: ["https://georgelipoker.com/outs.md"] --- # 2 Outs on the Flop: Odds to Hit With 2 outs on the flop you hit by the river 8.42% of the time. Odds against, the shortcut error and a verdict for 12 bet sizes. Holding 2 outs once the flop is dealt gives you an 8.42% chance by the river. Below you will find what that means as odds, how far the quick rule drifts and which bet sizes you can call. - Chance to hit by the river: 8.42% (2 outs, two cards to come) - Chance on the next card: 4.26% - Odds against by the river: 10.88 : 1 - Rule of 4 estimate: 8% (-0.42 points from the exact chance) ## The count behind 2 outs on the flop 8.42% is a modest chance. Over many hands the draw lands about 8 times in 100, and that is rarely enough for a large bet. - Unseen cards: 47 - Your outs: 2 - Cards that miss: 45 - Pairs of cards with no out: 990 - Pairs with at least one out: 91 - Chance by the river: 8.42% - Chance on the next card: 4.26% - Odds against hitting: 10.88 : 1 - Estimate from the rule of 4: 8% - Error of the rule of 4: -0.42 points - Chance by the river = 1 - C(u - k, 2) / C(u, 2), with u = 47 unseen cards - For 2 outs: 1 - C(45, 2) / C(47, 2) = 1 - 990 / 1,081 = 8.42% - Next card = 2 / 47 = 4.26% Count the ways to miss twice: 45 cards miss, and 990 pairs can be drawn from them. Take that from 1,081 pairs in all and 91 are left, so 8.42% of the run-outs help you. With 2 outs the rule of 4 stays near the truth: 8% estimated, 8.42% exact, 0.42 points apart. Leave the adjusted rule for bigger flop draws. With 2 outs on the flop, the plain rule of 4 figure is 8%. ## Which holding has 2 outs? One standard source of this count is a pocket pair that wants a set. Count the cards carefully at the table, because outs that also help a rival do not count in full. Not every out is clean. Here is the chance once shared outs are removed: from 8.42% down to 0.00% when 2 are shared. 2 outs on the flop when some outs are shared with a better hand | Shared outs | Effective outs | Chance by the river | Chance given up | | --- | --- | --- | --- | | 0 | 2 | 8.42% | 0.00 points | | 1 | 1 | 4.26% | 4.16 points | | 2 | 0 | 0.00% | 8.42 points | ## The bets 2 outs can call on the flop Here is the price list. For each bet size it shows the equity a call needs, your margin over it and the verdict, and no verdict is Call. 2 outs on the flop against every bet size, with your chance by the river at 8.42% | Bet size | Equity a call needs | Margin over it | Verdict | | --- | --- | --- | --- | | 1/4 pot | 16.67% | -8.25 points | Fold | | [1/3 pot](https://georgelipoker.com/call-or-fold/2-outs-flop-vs-third-pot.md) | 20.00% | -11.58 points | Fold | | 2/5 pot | 22.22% | -13.80 points | Fold | | [1/2 pot](https://georgelipoker.com/call-or-fold/2-outs-flop-vs-half-pot.md) | 25.00% | -16.58 points | Fold | | [2/3 pot](https://georgelipoker.com/call-or-fold/2-outs-flop-vs-two-thirds-pot.md) | 28.57% | -20.15 points | Fold | | [3/4 pot](https://georgelipoker.com/call-or-fold/2-outs-flop-vs-three-quarter-pot.md) | 30.00% | -21.58 points | Fold | | [full pot](https://georgelipoker.com/call-or-fold/2-outs-flop-vs-pot-size.md) | 33.33% | -24.92 points | Fold | | 1.25x pot | 35.71% | -27.30 points | Fold | | 1.5x pot | 37.50% | -29.08 points | Fold | | 2x pot | 40.00% | -31.58 points | Fold | | 3x pot | 42.86% | -34.44 points | Fold | | 4x pot | 44.44% | -36.03 points | Fold | The biggest bet you can call is 10.12% of the pot, which is $10.12 on a $100 pot. ## Nearby counts on both streets Neighboring counts help you judge a close draw. One out more or less shifts the chance by roughly 4.07 points on this street. Counts near 2: the chance by the river on the flop and on the turn | Outs | Flop, by the river | Turn, by the river | | --- | --- | --- | | [1](https://georgelipoker.com/outs/1-outs-flop.md) | 4.26% | 2.17% | | 2 (this page) | 8.42% | 4.35% | | [3](https://georgelipoker.com/outs/3-outs-flop.md) | 12.49% | 6.52% | | [4](https://georgelipoker.com/outs/4-outs-flop.md) | 16.47% | 8.70% | - [2 outs on the turn](https://georgelipoker.com/outs/2-outs-turn.md): 4.35% on the river. - [1 out on the flop](https://georgelipoker.com/outs/1-outs-flop.md): 4.26% by the river. - [3 outs on the flop](https://georgelipoker.com/outs/3-outs-flop.md): 12.49% by the river. ## When a bet buys only one card When another bet is coming on the turn, a call on the flop buys you one card, not two. Your next-card chance is 4.26%, against 25.00% needed to call a half-pot bet, a margin of -20.74 points, so the next-card verdict is Fold. The verdicts hold up on one card: no bet size is a call, matching the two-card count. ## Questions ### What percent chance does a count of 2 give you on the flop? With 2 outs on the flop you hit by the river 8.42% of the time, about 8 of every 100 hands, and on the next card 4.26%. The odds against hitting by the river are 10.88 : 1, since 990 of 1,081 pairs of unseen cards hold no out. ### Can I trust the shortcut for 2 outs on the flop? The rule of 4 gives 8% for 2 outs against an exact 8.42%, an error of -0.42 points. That is close enough to use at the table. ### When should I call or fold with 2 outs on the flop? At 8.42% by the river, you can call none of the 12 bet sizes. A half-pot bet needs 25.00%, a margin of -16.58 points, so against half the pot the verdict is Fold. The largest bet you can call is 10.12% of the pot, or $10.12 on a $100 pot. ### Does every one of the 2 outs count in full on the flop? Take them off the count first. With one shared out the chance by the river falls from 8.42% to 4.26%, and with 2 shared it falls to 0.00%, a loss of 8.42 points. The effective count is then 0 outs. ## How this is computed The chance to hit by the river from the flop is 1 - C(u - k, 2) / C(u, 2), where u = 47 unseen cards and k is your effective outs. For 2 outs that is 1 - 990 / 1,081 = 8.42%. The chance on the next card is k / 47, here 4.26%. The rule of 4 figure is 4 x k, here 8%, and its error is that figure minus the exact chance in percentage points, here -0.42 points. The model gives every one of the 47 unseen cards the same chance and removes nothing for what a rival holds. It measures hitting an out, not winning the hand. Bets are priced on a $100 pot, and a call adds one bet to the pot. Computed from the closed form by the GeorgeLiPoker math library. ## Related pages - [Outs calculator](https://georgelipoker.com/tools/outs-calculator.md): Enter your own count and street. - [Pot odds calculator](https://georgelipoker.com/tools/pot-odds-calculator.md): Enter a pot and a bet to see the equity a call needs. - [Outs and odds to hit](https://georgelipoker.com/outs.md): The chance to hit for every count on both streets. - [2 outs on the turn](https://georgelipoker.com/outs/2-outs-turn.md): The same count with one card to come. - [Pot odds for a two-fifths-pot bet](https://georgelipoker.com/pot-odds/two-fifths-pot.md): The equity a two-fifths-pot call needs. - [Pot odds for a 1.25x-pot bet](https://georgelipoker.com/pot-odds/1-25x-pot.md): The equity a 1.25x-pot call needs. - [Hand equity](https://georgelipoker.com/equity.md): Your chance to win against a named hand. ## Related - [Outs and Odds to Hit by Street](https://georgelipoker.com/outs.md)