MCPCalc

Poker Hand Odds Calculator

Estimate poker hand probability with table-level odds and pot-odds comparison.

Scratchpad (not saved)

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What This Calculator Does

Use this calculator to compare how rare a made poker hand is for one player versus the whole table, and to see whether the current pot is laying a profitable price for a call. It is useful for sanity-checking intuition when the board texture changes from pre-flop through river.

It combines Hand Type, Number of Players, Stage, Current Pot Size to estimate Selected Hand, Probability (Percent), Probability (Decimal).

Formula & Method

Core equations: Base 5-card hand probability is p_{base}=\frac{\text{hand combinations}}{\binom{52}{5}} (e.g., full house =\frac{3744}{2598960}). Stage-adjusted player probability in this implementation is p_{player}=p_{base}\cdot m_{stage} using stage multipliers (pre-flop 1.00, flop 0.85, turn 0.70, river 0.55). Probability at least one player at a table of size N is p_{table}=1-(1-p_{player})^N. Pot-odds threshold is p_{req}=\frac{C}{P+C} where P is pot size and C is call amount; decision edge is p_{player}-p_{req}.

Notation used in the formulas: R = Selected Hand; x_{1} = Hand Type; x_{2} = Number of Players; x_{3} = Stage; x_{4} = Current Pot Size; x_{5} = 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 want a quick strategic baseline for a draw-heavy or made-hand situation, especially when comparing your own chance of improvement against the minimum win rate needed to justify a call.

Inputs Used

  • Hand Type: Used directly in the calculation.
  • Number of Players: Used directly in the calculation.
  • Stage: Used directly in the calculation.
  • Current Pot Size: Used directly in the calculation.
  • Call Amount: Used directly in the calculation.

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