--- title: "Call or Fold: 4 Outs vs 3/4 pot, Flop" url: "https://georgelipoker.com/call-or-fold/4-outs-flop-vs-three-quarter-pot.md" canonical_url: "https://georgelipoker.com/call-or-fold/4-outs-flop-vs-three-quarter-pot" last_updated: "2026-10-21" type: "reference" summary: "4 outs on the flop hit 16.47% by the river. A three-quarter-pot bet needs 30.00%, so the verdict is fold." related: ["https://georgelipoker.com/call-or-fold.md"] --- # Call or Fold: 4 Outs vs 3/4 pot, Flop 4 outs on the flop hit 16.47% by the river. A three-quarter-pot bet needs 30.00%, so the verdict is fold. 4 outs against a three-quarter-pot bet on the flop miss the price. You need 30.00% and you have 16.47%. - Verdict: Fold (4 outs, flop, three-quarter-pot bet) - Chance to hit by the river: 16.47% (two cards to come) - Equity the call needs: 30.00% ($75 into a pot of $250) - Margin over the price: -13.53 points (your chance minus the price) ## Comparing the draw with the bet The price is 30.00% and your chance is 16.47%. You sit 13.53 points below the line, which is a wide gap, so you fold. Holding a gutshot straight draw gives you exactly 4 outs, out of 47 unseen cards. One card hits 8.51% of the time. ## The arithmetic of this call - Pot before the bet: $100 - The bet: $75 - Cost to call: $75 - Final pot if you call: $250 - Net gain when you hit: $175 - Net loss when you miss: $75 - Your chance to hit: 16.47% - Expected value of calling: -$33.83 - Equity needed to break even: 30.00% - Unrounded margin: -13.5338 points - Break-even count of outs: 7.59 outs - Your outs minus break-even outs: -3.59 outs Assume the whole pot goes to you when you hit, the call is lost when you miss, and nothing more is bet. Calling then loses $33.83 on average: $28.82 from hits, minus $62.65 from misses, -0.451 per dollar called. Stated as odds, you are 5.07 : 1 against hitting and the call gets 2.33 : 1 from the pot. Do not forget your own call. Dividing the bet by the pot without it gives 42.86%, not 30.00%, and would show a margin of -26.3909 points. The bet over the starting pot, 75.00%, is worse and would show -58.5338 points. ## When later betting could rescue the call The call becomes fair only if a hit brings in $205.48 more after the draw arrives. Measured against the $75 you pay, that is 2.74 times your call. Price of a three-quarter-pot call with future winnings added, 4 outs on the flop | Future winnings | Price with them | Your chance minus price | Value of the call | Call? | | --- | --- | --- | --- | --- | | $0 | 30.00% | -13.53 points | -$33.83 | Fold | | $50 | 25.00% | -8.53 points | -$25.60 | Fold | | $100 | 21.43% | -4.96 points | -$17.37 | Fold | | $250 | 15.00% | +1.47 points | +$7.33 | Call | | $500 | 10.00% | +6.47 points | +$48.50 | Call | Count the outs the call needs: 8 reach the 30.00% price, giving 31.45%. You have 4, so you are 4 outs short. ## By the river or next card 4 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 | 16.47% | -13.5338 points | -$33.83 | Fold | | Next card only | 8.51% | -21.4894 points | -$53.72 | Fold | Whether you count one card or two, the answer is a fold. The river figure is 16.47%, the next-card figure is 8.51%, and both are measured against 30.00%. ## One out more or less The table shows 4 outs and the draws around it on the flop, all against the same three-quarter-pot bet. Each extra out adds about 3.89 points to the chance here. Outs 2 to 6 on the flop against a three-quarter-pot bet | Outs | By the river | Margin | Verdict | | --- | --- | --- | --- | | [2 outs](https://georgelipoker.com/call-or-fold/2-outs-flop-vs-three-quarter-pot.md) | 8.42% | -21.58 points | Fold | | [3 outs](https://georgelipoker.com/call-or-fold/3-outs-flop-vs-three-quarter-pot.md) | 12.49% | -17.51 points | Fold | | 4 outs, this page | 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 | | [6 outs](https://georgelipoker.com/call-or-fold/6-outs-flop-vs-three-quarter-pot.md) | 24.14% | -5.86 points | Fold | ## Other bet sizes for this draw Look down the margin column to see where the draw stops paying. Every row uses 4 outs on the flop and a bet of a different size. 4 outs on the flop against every bet size | Bet size | Equity needed | Margin | Verdict | | --- | --- | --- | --- | | quarter-pot | 16.67% | -0.20 points | Fold | | [third-pot](https://georgelipoker.com/call-or-fold/4-outs-flop-vs-third-pot.md) | 20.00% | -3.53 points | Fold | | two-fifths-pot | 22.22% | -5.76 points | Fold | | [half-pot](https://georgelipoker.com/call-or-fold/4-outs-flop-vs-half-pot.md) | 25.00% | -8.53 points | Fold | | [two-thirds-pot](https://georgelipoker.com/call-or-fold/4-outs-flop-vs-two-thirds-pot.md) | 28.57% | -12.11 points | Fold | | three-quarter-pot, this page | 30.00% | -13.53 points | Fold | | [pot-size](https://georgelipoker.com/call-or-fold/4-outs-flop-vs-pot-size.md) | 33.33% | -16.87 points | Fold | | 1.25x-pot | 35.71% | -19.25 points | Fold | | 1.5x-pot | 37.50% | -21.03 points | Fold | | 2x-pot | 40.00% | -23.53 points | Fold | | 3x-pot | 42.86% | -26.39 points | Fold | | 4x-pot | 44.44% | -27.98 points | Fold | With 16.47% to hit, you can call a bet up to 0.25 times the pot ($24.55 on a $100 pot) and no more, which is smaller than every size listed. All 12 rows are folds. ## Where to look next - [4 outs on the flop](https://georgelipoker.com/outs/4-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 is the right play with 4 outs when a three-quarter-pot bet comes on the flop? Compare 16.47%, your chance to hit by the river, with 30.00%, the equity a three-quarter-pot bet needs. The gap is -13.53 points, so this is a fold. In dollars on a $100 pot, the call averages -$33.83 when no more betting follows. ### At what count of outs does a three-quarter-pot bet on the flop become a call? The threshold is 8 outs. It gives 31.45%, clearing 30.00%, whereas 7 gives only 27.84%. Holding 4 puts you 4 below it, with a chance of 16.47%. ### When is the next-card chance the better comparison? The river figure of 16.47% assumes no further betting; the next-card figure of 8.51% assumes you pay again on the turn. Against 30.00%, both say fold, so you can use either. ## How this is computed Here is how 16.47% was found. Deal every pair of the 47 unseen cards: 903 of 1,081 pairs contain no out. The numbers are a baseline rather than a prediction for one hand. The price is 30.00%, from $75 into $250, and the chance assumes a whole pot won on a hit, no more betting, 47 equally likely unseen cards, and no cards removed for the other player. Computed from the closed form by the GeorgeLiPoker math library. ## Related pages - [4 outs on the flop](https://georgelipoker.com/outs/4-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)