Calculate a complete without-replacement distribution for a shuffled deck.
Runs offline in your browser. Once the page and required files have loaded, processing needs no internet.
Runs in your browser
Calculate a complete without-replacement distribution for a shuffled deck.
Runs in your browser
Inputs are processed on this page and are never sent to a server.
For each feasible match count, use C(K,x)C(N−K,n−x)/C(N,n). Normalize log-space weights to avoid overflow; sum the requested tails.
Deck size · Target cards · Cards drawn · Match threshold
Calculate a complete without-replacement distribution for a shuffled deck.
At least the threshold: 39.949963%
P(X = x) = C(K,x) × C(N−K,n−x) / C(N,n)
At least the threshold: 39.949963%
A shuffled, fixed deck with one target category and no replacement. No mulligans, tutors, conditional draws or overlapping categories. Enter total cards seen, not turns. Consecutive independent games are not one shrinking deck. Popularity is not verified.
Calculations run on your device. Form inputs are not sent to a server.
Enter a whole number; fractional counts are not valid.
Minimum: 1 · Maximum: 1000
Enter a whole number; fractional counts are not valid.
Minimum: 0 · Maximum: 1000
Enter a whole number; fractional counts are not valid.
Minimum: 0 · Maximum: 1000
For each feasible match count, use C(K,x)C(N−K,n−x)/C(N,n).
Enter a whole number; fractional counts are not valid.
Minimum: 0 · Maximum: 1000
For each feasible match count, use C(K,x)C(N−K,n−x)/C(N,n). Normalize log-space weights to avoid overflow; sum the requested tails.
Calculated from your entries using the method below.
For each feasible match count, use C(K,x)C(N−K,n−x)/C(N,n). Normalize log-space weights to avoid overflow; sum the requested tails.
Calculated from your entries using the method below.
For each feasible match count, use C(K,x)C(N−K,n−x)/C(N,n). Normalize log-space weights to avoid overflow; sum the requested tails.
Calculated from your entries using the method below.
For each feasible match count, use C(K,x)C(N−K,n−x)/C(N,n). Normalize log-space weights to avoid overflow; sum the requested tails.
Calculated from your entries using the method below.
For each feasible match count, use C(K,x)C(N−K,n−x)/C(N,n). Normalize log-space weights to avoid overflow; sum the requested tails.
Calculated from your entries using the method below.
For each feasible match count, use C(K,x)C(N−K,n−x)/C(N,n). Normalize log-space weights to avoid overflow; sum the requested tails.
Calculated from your entries using the method below.
Mistake: Treating a result as valid outside the described scope.
Fix: A shuffled, fixed deck with one target category and no replacement. No mulligans, tutors, conditional draws or overlapping categories. Enter total cards seen, not turns. Consecutive independent games are not one shrinking deck. Popularity is not verified.
Read how ListFan and third-party services handle your data. See GDPR policy