Game math

Bag / Token Draw Probability Calculator

Model target tokens drawn from a bag, cup, or cube pool.

Tabletop design inputs

Scenario

Calculation method

Without replacement uses an exact bag draw; with replacement uses independent draws. The physical rule matters when tuning bag-building systems.

Assumptions and limits

This is a tabletop design scenario using your inputs, not a prediction of player experience. Check your game’s exact rules and edge cases before finalizing a design.

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