Free · Measurement and planning

Two Outcome Poker Expected Profit

Balance two exhaustive win and loss probabilities and calculate the average net profit of the supplied poker outcomes.

  • Formula & worked example
  • Private in your browser
  • No signup
Go to tool

Calculator inputs

Loading calculator…

How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

For the worked example, perc_lose = 40.00000000, ev = 40.00000000.

Expected profit = win probability × profit − loss probability × loss.

Worked example

Enter these known values and leave the other values blank.

Chance to win (PW)
60 %
Profit if you win (VW)
100 USD
Loss if you lose (VL)
50 USD
Chance to lose (PL)
40 %
Expected value (EV)
40 USD

Assumptions and limitations

  • Two mutually exclusive outcomes exhaust all possibilities. Probabilities must sum to one.
  • Winning profit and losing loss are net amounts, entered as nonnegative values; this is arithmetic expectation, not a guaranteed return.
  • Results follow the stated ideal arithmetic model. Display rounding does not change the underlying calculation.
  • Supply sufficient known values and leave the desired quantity blank. Controls retain captured inverse branches and units.
  • If a retained lock prevents a reverse calculation, unlock the quantity you want to solve before supplying the known values.
  • Domain checks operate on converted finite-precision quantities. A positive excess smaller than the arithmetic precision can round to a boundary; do not use extreme decimal precision to encode measurement uncertainty.

Common questions

What does the worked example demonstrate?

Expected profit = win probability × profit − loss probability × loss.

Can I change the measurement units?

Available selectors convert the entered physical quantity. Use compatible units for all related quantities.

Why can a result be blank?

A missing input, invalid denominator or underdetermined relationship cannot provide a unique finite result.

References

Use exact-sign physical domains, exact discrete counts where applicable, and documented model bounds. Source arithmetic is preserved.

Explore measurement and planning or browse all everyday life calculators.