Texas Hold'em Outs Calculator

Calculate hit probability from outs and compare against required pot odds.

Scratchpad (not saved)

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What This Calculator Does

This calculator turns raw outs into exact turn and river hit probabilities, then compares those percentages against the price the pot is offering. It is designed for common flush-draw, straight-draw, and combo-draw decisions in hold'em.

It combines Outs, Cards To Come, Current Pot Size, Call Amount to estimate Hit Probability, Miss Probability, Odds Expression.

Formula & Method

Core equations: With outs o and one card to come, P(\text{hit})=\frac{o}{46}. With turn+river to come, P(\text{hit by river})=1-\frac{\binom{47-o}{2}}{\binom{47}{2}} (complement of missing twice). Pot-odds requirement is p_{req}=\frac{C}{P+C}. Implied additional pot needed for a break-even call is I=\max\left(0,\frac{C}{P(\text{hit})}-(P+C)\right).

Notation used in the formulas: R = Hit Probability; x_{1} = Outs; x_{2} = Cards To Come; x_{3} = Current Pot Size; x_{4} = Call Amount.

Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.

Use it when you know roughly how many live outs you have and need a cleaner answer than the rule of 2 and 4, or when you want to translate a draw percentage directly into a call/fold decision.

Inputs Used

  • Outs: Used directly in the calculation.
  • Cards To Come: Used directly in the calculation.
  • Current Pot Size: Used directly in the calculation.
  • Call Amount: Used directly in the calculation.

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