GlossaryOdds and value

Monte Carlo sampling

Estimating equity by dealing a large random sample of boards instead of every possible one.

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What it means
When there are too many deals to count one by one, a calculator deals a large random sample and reports the share each hand wins.
How it is calculated
With n deals the error shrinks like 1 ÷ √n: 100,000 deals pin an equity to within about 0.3 points. A fixed seed deals the same sample each time, so a shared link shows the same numbers.
Worked example
Two exact hands before the flop have 1,712,304 possible boards; a sample of 100,000 gives the same equity to a few tenths of a point.
Why it matters
It keeps a range-against-range or multiway answer quick in the browser. Once the board is out to the flop or turn, the calculators count every deal exactly.

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See also: Equity, Win percentage