How do I simulate a Bayesian update?

Open this page and use the live Bayesian Inference tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a Bayesian update from your own measurements.

Use case · powered by Bayesian Inference

Bayesian Inference for a Bayesian update

Simulate a Bayesian update live in your browser. This runs the real Bayesian Inference solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Bayesian InferenceLive

prior × likelihood → posterior

Controls

Presets

Prior α (pseudo-heads)

Prior β (pseudo-tails)

Observed heads

Observed tails

Bayesian inference updates a prior belief with data to form a posterior. For a coin, a Beta prior combined with binomial coin flips gives a Beta posterior — the conjugate update is just adding heads to α and tails to β. Watch the posterior sharpen and shift as evidence accumulates.

▶ Run in Python

Data Inspector

Posterior mean0.667

Posterior SD0.094

Posterior α, β16.0, 8.0

Governing equation

p ∣ data \sim Beta (α + h, β + t) = Beta (16.0, 8.0), E [p] = \frac{α + h}{α + β + n} = 0.667

Reading this result: The posterior mean 0.667 sits between the prior mean 0.500 and the observed rate 0.700; with 20 flips versus 4.0 pseudo-counts, the data dominates and pulls the estimate toward the evidence.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Bayesian Inference tool models a Bayesian update with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Bayesian Inference

Bayesian Inference for an A/B test Bayesian Inference for a survey sample Bayesian Inference for a poll margin Bayesian Inference for a quality-control chart Bayesian Inference for a clinical trial Bayesian Inference for a customer churn Bayesian Inference for a click-through rate Bayesian Inference for an exam-score curve

Other ways to simulate a Bayesian update

Optimize + UQ for a Bayesian update Hypothesis Test for a Bayesian update Linear Regression for a Bayesian update Central Limit Theorem for a Bayesian update Confidence Intervals for a Bayesian update Bootstrap for a Bayesian update

Frequently asked questions

How do I simulate a Bayesian update?: Open this page and use the live Bayesian Inference tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a Bayesian update from your own measurements.