--- title: "Call or Fold: 9 Outs vs 3/4 pot, Flop" url: "https://georgelipoker.com/call-or-fold/9-outs-flop-vs-three-quarter-pot.md" canonical_url: "https://georgelipoker.com/call-or-fold/9-outs-flop-vs-three-quarter-pot" last_updated: "2026-10-21" type: "reference" summary: "The exact answer for 9 outs on the flop facing a three-quarter-pot bet: 34.97% to hit, 30.00% to break even, call." related: ["https://georgelipoker.com/call-or-fold.md"] --- # Call or Fold: 9 Outs vs 3/4 pot, Flop The exact answer for 9 outs on the flop facing a three-quarter-pot bet: 34.97% to hit, 30.00% to break even, call. 9 outs against a three-quarter-pot bet on the flop clear the price. You need 30.00% and you have 34.97%. - Verdict: Call (9 outs, flop, three-quarter-pot bet) - Chance to hit by the river: 34.97% (two cards to come) - Equity the call needs: 30.00% ($75 into a pot of $250) - Margin over the price: +4.97 points (your chance minus the price) ## Comparing the draw with the bet Against a three-quarter-pot bet the call needs 30.00%. With 9 outs you have 34.97%, so you clear it by 4.97 points and the call wins out. Count a flush draw and you land on 9 outs. With 47 cards unseen, the next card helps 19.15% of the time. ## One hand, in dollars - The pot before betting: $100 - The bet: $75 - You call: $75 - Pot after your call: $250 - Net gain when you hit: $175 - Net loss when you miss: $75 - Probability of a hit: 34.97% - Expected value of a call: +$12.42 - Break-even equity: 30.00% - Margin, to four decimals: +4.9676 points - Outs at break-even: 7.59 outs - Outs above the price: +1.41 outs Stay with simple rules: the whole pot on a hit, the call lost on a miss, no more money in. Under them calling gains $12.42 on average. The hit side averages $61.19, the miss side $48.77, and each dollar called returns +0.166. Written as odds, the pot lays 2.33 : 1 while the draw is 1.86 : 1 against. Counting the pot without your call makes the price look like 42.86%, when the real price is 30.00%. On that mistaken price the margin would read -7.8895 points; on 75.00%, the bet over the starting pot, it would read -40.0324 points. ## Your cushion over the price The fewest outs that still call a three-quarter-pot bet on the flop is 8. You hold 9, so you have 1 out to spare before the call flips to a fold. Price of a three-quarter-pot call if you give money back after a hit, 9 outs on the flop | Given back later | Price with it | Your chance minus price | Value of the call | Call? | | --- | --- | --- | --- | --- | | $0 | 30.00% | +4.97 points | +$12.42 | Call | | $10 | 31.25% | +3.72 points | +$8.92 | Call | | $25 | 33.33% | +1.63 points | +$3.68 | Call | | $50 | 37.50% | -2.53 points | -$5.06 | Fold | | $100 | 50.00% | -15.03 points | -$22.55 | Fold | Your margin is worth $35.52 in later losses. Past that, 0.47 times your call, folding would have been better. ## Two cards to come, or just one 9 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 | 34.97% | +4.9676 points | +$12.42 | Call | | Next card only | 19.15% | -10.8511 points | -$27.13 | Fold | The two views split. By the river 34.97% gives a call, but the next card alone is 19.15%, which gives a fold. Use the river figure when no more betting follows and the next-card figure when you face another bet on the turn. ## Counts close to yours Move up or down a few outs and watch the verdict. Every extra out is worth about 3.42 points on the flop, and the price stays at 30.00%. Outs 7 to 11 on the flop against a three-quarter-pot bet | Outs | By the river | Margin | Verdict | | --- | --- | --- | --- | | [7 outs](https://georgelipoker.com/call-or-fold/7-outs-flop-vs-three-quarter-pot.md) | 27.84% | -2.16 points | Fold | | [8 outs](https://georgelipoker.com/call-or-fold/8-outs-flop-vs-three-quarter-pot.md) | 31.45% | +1.45 points | Call | | 9 outs, this page | 34.97% | +4.97 points | Call | | [10 outs](https://georgelipoker.com/call-or-fold/10-outs-flop-vs-three-quarter-pot.md) | 38.39% | +8.39 points | Call | | [11 outs](https://georgelipoker.com/call-or-fold/11-outs-flop-vs-three-quarter-pot.md) | 41.72% | +11.72 points | Call | ## How bet size moves the answer Keep 9 outs and change only the bet. The price rises from the smallest size to the largest, and the three-quarter-pot row is marked as this page. 9 outs on the flop against every bet size | Bet size | Equity needed | Margin | Verdict | | --- | --- | --- | --- | | quarter-pot | 16.67% | +18.30 points | Call | | [third-pot](https://georgelipoker.com/call-or-fold/9-outs-flop-vs-third-pot.md) | 20.00% | +14.97 points | Call | | two-fifths-pot | 22.22% | +12.75 points | Call | | [half-pot](https://georgelipoker.com/call-or-fold/9-outs-flop-vs-half-pot.md) | 25.00% | +9.97 points | Call | | [two-thirds-pot](https://georgelipoker.com/call-or-fold/9-outs-flop-vs-two-thirds-pot.md) | 28.57% | +6.40 points | Call | | three-quarter-pot, this page | 30.00% | +4.97 points | Call | | [pot-size](https://georgelipoker.com/call-or-fold/9-outs-flop-vs-pot-size.md) | 33.33% | +1.63 points | Call | | 1.25x-pot | 35.71% | -0.75 points | Fold | | 1.5x-pot | 37.50% | -2.53 points | Fold | | 2x-pot | 40.00% | -5.03 points | Fold | | 3x-pot | 42.86% | -7.89 points | Fold | | 4x-pot | 44.44% | -9.48 points | Fold | Past 1.16 times the pot ($116.31 on a $100 pot) the price outruns your chance. Of the 12 sizes, 7 are calls for 9 outs on the flop. ## Pages that use the same math - [9 outs on the flop](https://georgelipoker.com/outs/9-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 ### Does the math favor calling a three-quarter-pot bet with 9 outs on the flop? The answer is a call, with a margin of +4.97 points. 9 outs on the flop reach 34.97%; a bet of $75 into $100 needs 30.00%. Win the whole pot on a hit and lose the call on a miss, and the call is worth +$12.42 on average. ### How strong must a draw be to call a three-quarter-pot bet on the flop? Look for 8 outs. That is the smallest count whose chance, 31.45%, reaches the 30.00% price; 7 manages 27.84%. You have 9, so you are 1 ahead of the minimum. ### Which hit chance fits a three-quarter-pot bet on the flop? Pick the number that matches the street plan: 34.97% for seeing both cards for one bet, 19.15% for paying card by card. Both face 30.00%, and they lead to call and fold in that order. ## How this is computed The hit chance comes straight from combinations. Out of 1,081 pairs of unseen cards, 703 miss every out, so you hit 34.97% of the time. The model is deliberately simple: call everything, win everything on a hit, face no more bets, deal from 47 equally likely unseen cards, and ignore an opponent's holding. With the price at $75 / $250 = 30.00%, later streets and shared outs are what change the real answer. Computed from the closed form by the GeorgeLiPoker math library. ## Related pages - [9 outs on the flop](https://georgelipoker.com/outs/9-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)