--- title: "Call or Fold: 3 Outs vs 3/4 pot, Flop" url: "https://georgelipoker.com/call-or-fold/3-outs-flop-vs-three-quarter-pot.md" canonical_url: "https://georgelipoker.com/call-or-fold/3-outs-flop-vs-three-quarter-pot" last_updated: "2026-10-21" type: "reference" summary: "A three-quarter-pot bet asks for 30.00% and 3 outs on the flop give 12.49%, a margin of -17.51 points and a fold." related: ["https://georgelipoker.com/call-or-fold.md"] --- # Call or Fold: 3 Outs vs 3/4 pot, Flop A three-quarter-pot bet asks for 30.00% and 3 outs on the flop give 12.49%, a margin of -17.51 points and a fold. On the flop, 3 outs are not enough to call a three-quarter-pot bet. The price is 30.00% and the chance is 12.49%. - Verdict: Fold (3 outs, flop, three-quarter-pot bet) - Chance to hit by the river: 12.49% (two cards to come) - Equity the call needs: 30.00% ($75 into a pot of $250) - Margin over the price: -17.51 points (your chance minus the price) ## Comparing the draw with the bet The price is 30.00% and your chance is 12.49%. You sit 17.51 points below the line, which is a wide gap, so you fold. For one overcard to top pair, 3 outs is the number to use, and one card hits 6.38% of the time out of 47 unseen. ## The $100 pot example - The pot before betting: $100 - The bet: $75 - Cost to call: $75 - Total pot after calling: $250 - Net gain when you hit: $175 - Loss on a miss: $75 - How often you hit: 12.49% - Expected value of calling: -$43.78 - Equity needed to break even: 30.00% - Margin, to four decimals: -17.5116 points - Fractional outs at the price: 7.59 outs - Outs above the price: -4.59 outs Stay with simple rules: the whole pot on a hit, the call lost on a miss, no more money in. Under them calling loses $43.78 on average. The hit side averages $21.85, the miss side $65.63, and each dollar called returns -0.584. In odds, you face 7.01 : 1 against you and the pot pays 2.33 : 1. The correct pot to divide by includes your call. Without it the price reads 42.86% rather than 30.00%, and the margin reads -30.3687 points. With the starting pot alone it reads 75.00% and -62.5116 points. ## When later betting could rescue the call The call becomes fair only if a hit brings in $350.56 more after the draw arrives. Measured against the $75 you pay, that is 4.67 times your call. Price of a three-quarter-pot call with future winnings added, 3 outs on the flop | Future winnings | Price with them | Your chance minus price | Value of the call | Call? | | --- | --- | --- | --- | --- | | $0 | 30.00% | -17.51 points | -$43.78 | Fold | | $50 | 25.00% | -12.51 points | -$37.53 | Fold | | $100 | 21.43% | -8.94 points | -$31.29 | Fold | | $250 | 15.00% | -2.51 points | -$12.56 | Fold | | $500 | 10.00% | +2.49 points | +$18.66 | Call | The call starts to work at 8 outs, where the chance is 31.45%. Your 3 outs fall 5 outs below that. ## One card or two 3 outs against a three-quarter-pot bet, one view per row | Cards counted | Chance | Margin over price | Value of the call | Verdict | | --- | --- | --- | --- | --- | | By the river, two cards | 12.49% | -17.5116 points | -$43.78 | Fold | | Next card only | 6.38% | -23.6170 points | -$59.04 | Fold | No conflict here: 12.49% for two cards and 6.38% for one both give a fold against the 30.00% price, so you need not decide which view applies. ## How the answer moves with outs Move up or down a few outs and watch the verdict. Every extra out is worth about 3.98 points on the flop, and the price stays at 30.00%. Outs 1 to 5 on the flop against a three-quarter-pot bet | Outs | By the river | Margin | Verdict | | --- | --- | --- | --- | | [1 out](https://georgelipoker.com/call-or-fold/1-outs-flop-vs-three-quarter-pot.md) | 4.26% | -25.74 points | Fold | | [2 outs](https://georgelipoker.com/call-or-fold/2-outs-flop-vs-three-quarter-pot.md) | 8.42% | -21.58 points | Fold | | 3 outs, this page | 12.49% | -17.51 points | Fold | | [4 outs](https://georgelipoker.com/call-or-fold/4-outs-flop-vs-three-quarter-pot.md) | 16.47% | -13.53 points | Fold | | [5 outs](https://georgelipoker.com/call-or-fold/5-outs-flop-vs-three-quarter-pot.md) | 20.35% | -9.65 points | Fold | ## The same draw against other bet sizes How much does bet size matter? The price climbs from 16.67% to 44.44% across the list, while 3 outs stay at 12.49%. 3 outs on the flop against every bet size | Bet size | Equity needed | Margin | Verdict | | --- | --- | --- | --- | | quarter-pot | 16.67% | -4.18 points | Fold | | [third-pot](https://georgelipoker.com/call-or-fold/3-outs-flop-vs-third-pot.md) | 20.00% | -7.51 points | Fold | | two-fifths-pot | 22.22% | -9.73 points | Fold | | [half-pot](https://georgelipoker.com/call-or-fold/3-outs-flop-vs-half-pot.md) | 25.00% | -12.51 points | Fold | | [two-thirds-pot](https://georgelipoker.com/call-or-fold/3-outs-flop-vs-two-thirds-pot.md) | 28.57% | -16.08 points | Fold | | three-quarter-pot, this page | 30.00% | -17.51 points | Fold | | [pot-size](https://georgelipoker.com/call-or-fold/3-outs-flop-vs-pot-size.md) | 33.33% | -20.84 points | Fold | | 1.25x-pot | 35.71% | -23.23 points | Fold | | 1.5x-pot | 37.50% | -25.01 points | Fold | | 2x-pot | 40.00% | -27.51 points | Fold | | 3x-pot | 42.86% | -30.37 points | Fold | | 4x-pot | 44.44% | -31.96 points | Fold | 3 outs stop paying at 0.17 times the pot ($16.65 on a $100 pot), below the smallest size listed. The call fails at all 12 bet sizes. ## Related pages - [3 outs on the flop](https://georgelipoker.com/outs/3-outs-flop.md) - [Pot odds for a three-quarter-pot bet](https://georgelipoker.com/pot-odds/three-quarter-pot.md) - [Pot odds calculator](https://georgelipoker.com/tools/pot-odds-calculator.md) - [Outs calculator](https://georgelipoker.com/tools/outs-calculator.md) - [Call or fold with a draw](https://georgelipoker.com/call-or-fold.md) ## Questions ### What does the math say about calling a bet of three quarters of the pot with 3 outs on the flop? Reduce the question to a comparison of two numbers: 12.49% to hit and 30.00% to break even. The first minus the second is -17.51 points, which makes this a fold, and the call averages -$43.78 on a $100 pot if no more betting follows. ### What count of outs clears the price of a three-quarter-pot bet on the flop? The threshold is 8 outs. It gives 31.45%, clearing 30.00%, whereas 7 gives only 27.84%. Holding 3 puts you 5 below it, with a chance of 12.49%. ### Should you use the chance on the next card or by the river? Both figures are right for their own situation: 12.49% with no more betting, 6.38% when the turn brings a bet. Facing 30.00%, each one gives a fold. ## How this is computed Counting is exact: the pairs of unseen cards with no out number 946 out of 1,081, so hitting by the river has chance 12.49%. Four assumptions sit behind the verdict: you call the full bet, a hit wins the entire pot, no money goes in after the call, and every one of the 47 unseen cards is equally likely. The price is $75 / $250 = 30.00%. No card is taken out for what an opponent might hold. Computed from the closed form by the GeorgeLiPoker math library. ## Related pages - [3 outs on the flop](https://georgelipoker.com/outs/3-outs-flop.md) - [Pot odds for a three-quarter-pot bet](https://georgelipoker.com/pot-odds/three-quarter-pot.md) - [Pot odds calculator](https://georgelipoker.com/tools/pot-odds-calculator.md) - [Outs calculator](https://georgelipoker.com/tools/outs-calculator.md) - [Call or fold with a draw](https://georgelipoker.com/call-or-fold.md) ## Related - [Call or Fold With a Draw by Bet Size](https://georgelipoker.com/call-or-fold.md)