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Card Draw Probability Lab

Compare the chances of drawing target card groups from a finite deck, with expected copies and complete marginal probability tables.

Target probabilitiesCompare scenariosCSV & printable report

Make the next step clearer

Open CSV / project

Preparing the worked example…

Make it yours

Settings & assumptions

Deck groups

Your result, explained

02 / RESULTS

Read the result in context

Sampling without replacement. Each row is a separate marginal event, not the joint probability of meeting all rows together. Rows must partition the deck.

How to use Card Draw Probability Lab

Explore the worked example. Partition a deck into named groups, then inspect the chance of drawing enough cards from each group.
Replace the deck groups with your own entries. Set cards drawn.
Choose “Calculate draw odds”. Review target probabilities and full marginal distributions, then compare the visual overview with the detailed tables.
Capture alternative scenarios, download a reusable project and export the selected table or a report when you are ready.

A starting point

Partition a deck into named groups, then inspect the chance of drawing enough cards from each group. The example is illustrative and can be replaced.

Know what you are comparing

Are the probabilities for several groups combined?

No. Each distribution is a marginal hypergeometric probability for one group in a draw without replacement. Separate group probabilities cannot simply be multiplied.

Files, privacy & saving

Calculations run locally in a browser worker. Input CSV files use the column names in the downloadable template and keep your current settings. Projects restore inputs and up to four scenarios. Imports are limited to 1 MiB and 100 entries. There is no automatic saving. Public pages include advertising and optional analytics; see our privacy policy.

CSV exports contain the entire selected table. JSON and printable HTML reports include all result tables; open the report and use your browser’s Print command for PDF.

Using Card Draw Probability Lab

Compare the chances of drawing target card groups from a finite deck, with expected copies and complete marginal probability tables.

Explore the worked example. Partition a deck into named groups, then inspect the chance of drawing enough cards from each group.
Replace the deck groups with your own entries. Set cards drawn.
Choose “Calculate draw odds”. Review target probabilities and full marginal distributions, then compare the visual overview with the detailed tables.
Capture alternative scenarios, download a reusable project and export the selected table or a report when you are ready.

Example

Partition a deck into named groups, then inspect the chance of drawing enough cards from each group.

Questions & answers

Are the probabilities for several groups combined?

No. Each distribution is a marginal hypergeometric probability for one group in a draw without replacement. Separate group probabilities cannot simply be multiplied.

Can I compare and save alternative plans?

Yes. Capture up to four calculated scenarios, restore their inputs and save them in a project JSON file. There is no automatic saving.

How do I bring in my own entries?

Download the CSV template, retain its column names and replace the example rows. Imports are limited to 100 entries and 1 MiB. A saved project also restores settings.

What should I check before using the result?

Sampling without replacement. Each row is a separate marginal event, not the joint probability of meeting all rows together. Rows must partition the deck.