Monte Carlo simulators
Five-card pattern frequencies
Deal 100 to 100,000 random five-card combinations and compare how often each pattern appears with the exact counts from combinatorics.
You will learn: Law of large numbers, empirical vs theoretical probability, confidence intervals.
Open simulatorTarget cards in a draw
Choose a group of target cards (hearts, aces, face cards…) and a draw size. See the full distribution of how many targets appear and how it matches theory.
You will learn: Hypergeometric distribution, expected value, variance, sampling without replacement.
Open simulatorSampling variability
Repeat an entire experiment hundreds of times and watch how much the answer changes from one run to the next, and how that shrinks with more data.
You will learn: Standard error, the 1/√n rule, why two honest experiments can disagree.
Open simulator
Features shared by every simulator
- Reproducible seeds. The same seed and settings give identical results on any device. Share a seed to share an experiment.
- Four sample sizes. 100, 1,000, 10,000 and 100,000 samples, so you can feel how precision improves.
- CSV download. Export the results and convergence data and analyse them in a spreadsheet. The file is built in your browser and never uploaded.
- Everything runs locally. No accounts, no server calls and no stored history. Reloading the page clears the results.
Not sure where to begin? Read the sampling error lesson, then run the first simulator at 100 samples and again at 100,000. For how the numbers are produced, see the methodology.