Choose a tool
Pick a sampler, diagnose randomness, or explore stochastic processes.
Samplers
Generate samples from common distributions and export results.
Open Dirichlet distribution generator
Open Truncated normal generator
Open Beta distribution generator
Diagnostics & randomness
Check bias, visualize null distributions, and review randomness quickly.
Stochastic processes
Simulate random walks and Markov chains to see distributions evolve.
Quick start
- 1) Need samples? Start with Distribution sampler for common distributions.
- 2) Checking randomness? Use Randomness tests or Shuffle bias comparison.
- 3) Exploring processes? Visualize random walks and Markov chains.
Use small sample sizes first so you can verify settings quickly.
After that, increase the sample size and compare shape stability.
When you need reproducible runs, use a fixed seed and save the share URL.
Keep notes on mode, seed, and sample size for each run.
Seeded mode or secure mode?
Seeded mode is best for lessons, documentation, and debugging because you can replay the same sequence.
Secure mode is best for fairness-sensitive draws because it uses system randomness.
Pick one mode, record it, and keep it consistent across your comparison runs.
Start small. Check shape. Increase size. Recheck shape. Then export.
Guides & next steps
Explore probability and simulation topics, or return to the full Random tools hub.
FAQ
What should I do first on this page?
Start with the minimum required inputs or the first action shown near the primary button. Keep optional settings at defaults for a baseline run, then change one setting at a time so you can explain what caused each output change.
Why does this page differ from another tool?
Different pages often use different defaults, units, rounding rules, or assumptions. Align those settings before comparing outputs. If differences remain, compare each intermediate step rather than only the final number.
How reliable are the displayed values?
Values are computed in the browser and rounded for display. They are good for planning and educational checks, but for regulated or high-stakes decisions you should validate assumptions with official guidance or professional review.
Can I share and reproduce this result?
Yes. Use the share or URL controls when available. Keep a baseline case and one changed case so others can reproduce your reasoning and verify that the direction and scale of change are consistent.
Is my input uploaded somewhere?
Core calculations run locally in your browser. Some pages encode parameters in a shareable URL, but no automatic upload is performed unless you explicitly share that link.