Drawing a target card group
Estimate how many cards from a chosen group appear in a hand without replacing drawn cards.
Your inputs
Start with the example values, then replace them with your own. For tables, keep the vertical bar separators and use a dot for decimals.
This is an educational model with simplified assumptions and a pseudorandom generator. Do not use its results as a forecast or for gambling decisions.
Tool inputs are processed in your browser and are not submitted by this tool. Existing site analytics and advertising services have their own privacy terms.
Result and workspace
Use the start button to open your result or activity.
How it works
P(X=k)=C(K,k)×C(N−K,n−k)/C(N,n). The hand is sampled uniformly without replacement; exact and at-least probabilities use the same hypergeometric distribution.
Worked example
These sample results use the original example inputs in the form. They do not change when you edit your inputs; your own result appears in the workspace.
- Exact probability: 29.9474 %
- At least probability: 34.1158 %
| Target cards | Probability (%) |
|---|---|
| 0 | 65.8842 |
| 1 | 29.9474 |
| 2 | 3.993 |
| 3 | 0.1736 |
Read the result carefully
Results depend on the values and assumptions shown above. Change one input at a time to see its effect. A blank or unavailable result means the data does not support a calculation; it is not zero.