How do I simulate a sampling error?

Open this page and use the live Lottery Odds 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 sampling error from your own measurements.

Use case · powered by Lottery Odds

Lottery Odds for a sampling error

Simulate a sampling error live in your browser. This runs the real Lottery Odds 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

Lottery OddsLive

the tax on not knowing math

Odds of the jackpot

1 in 13,983,816

Pick 6 from 49

Spending $2 a ticket, a win is expected about once every 28.0 million dollars played.

1748× more likely to die in a car crash this year.

Controls

Presets

Number pool

Numbers picked

Ticket price ($)

Winning a jackpot means matching every drawn number, and the odds are the number of possible combinations, C(pool, picks). Adding just a few numbers to the pool multiplies the odds dramatically — a 6-from-49 draw is 1 in 14 million, 6-from-59 nearly 1 in 45 million. You are far likelier to be struck by lightning, which is why lotteries are so profitable.

▶ Run in Python

Data Inspector

Combinations13,983,816

Jackpot odds1 in 13,983,816

Tickets to expect a win~13,983,816

Governing equation

P (jackpot) = \frac{1}{( 6 49 )} = \frac{1}{13 , 983 , 816}

Reading this result: Matching 6 of 49 is a 1-in-13,983,816 shot: buying one ticket every draw (twice weekly), you would wait about 134,460 years on average for a single jackpot.

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

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About this simulation

The full Lottery Odds tool models a sampling error 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.

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Frequently asked questions

How do I simulate a sampling error?: Open this page and use the live Lottery Odds 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 sampling error from your own measurements.