Hypergeometric: a without-replacement cell, not six coins

6/45 first prize can be written C(45,6); matches k read as hypergeometric. It is not with-replacement. Pair with combination-vs-permutation-lotto and lotto-645-odds-plain. We do not sell the formula as a product.

Without replacement

Main balls do not repeat inside one draw.

Bonus

A bonus is another cell. Do not mash hypergeometric into one slogan.

Not binomial by definition

Large-n approximations exist; the definition is hypergeometric.

We do not sell

No calculator subscription.

6/45 space

6/45 firstC(45,6)=8,145,060
BonusOther urn
IndependentPast does not reweight
SystemWe do not sell

Arithmetic, not a winning tip.

Related

FAQ

Is it six coin flips?
No. Without replacement.
Numbers?
No.
Prediction?
No.
Tutoring?
Plain-language notes.

For entertainment and arithmetic. Combinatorics, bias, and expected value are not a winning tip or investment advice. Draws are random.

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