Calculation method
This exact hypergeometric calculation models a normal draw without replacement. Use it to decide whether key effects need more copies or more draw.
Assumptions and limits
This is a tabletop design scenario using your inputs, not a prediction of player experience. Check your game???exact rules and edge cases before finalizing a design.
Related tools
Use a deck state, not an average feeling
The deck size, copies of the target, and cards drawn define an exact without-replacement probability. Enter the deck at the moment of the draw; cards already discarded or removed are no longer part of the denominator.
Use the result in a design decision
Compare a seven-card opening draw with a later three-card search to decide whether a key effect needs more copies, a mulligan rule, or a tutor. The result describes the selected target condition, not overall game balance.