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Odds gallery

Formulas from public rules; folklore as museum cards.

Not tips and not forecasts. Formulas are public combination spaces. Folklore is labelled like a museum object.

1. Combinations lab

C(n,k)=n!/(k!(n−k)!). Korea Lotto 6/45 is C(45,6)=8,145,060. “Hot numbers” are sampling mirages.

2. Independent events

A fair coin stays ½ after five heads. Last week does not reweight next week.

3. Published prize spaces

First-prize counts from public operator rules — not a ranking of luck.

FormatJackpot space
Lotto 6/458,145,060
Powerball 5/69 + 1/26292,201,338
EuroMillions 5/50 + 2/12139,838,160
Mega Millions 5/70 + 1/25302,575,350

4. How to read expected value

EV is about (prize × probability) minus ticket cost. After tax and splits it is often negative. Not investment advice.

5. Folklore gallery labels

Korea · 4 · modern urban folk — phonetic taboo. Western Europe · four-leaf clover · print luck icon. Japan · maneki-neko · shop charm. Not an efficacy table.

6. Age · responsible play

Follow local law (often 18+; 19+ in some U.S. states). Never spend more than you can afford. Help: 1-800-GAMBLER.

7. How we know

Combination counts are arithmetic on published rules. Dream and saju essays live on other URLs. This app is not an operator.

8. The draw urn

Any 6-set from 45 has the same weight. A practice draw is entertainment, not a forecast.

9. Print · share

Save the exhibit. Do not post it as a forecast. The in-app print button keeps this gallery.

10. Culture ≠ system

Charms, dreams, and saju are culture stamps. They are not an RNG.

Sources: operator rule sheets (6/45, Powerball, EuroMillions, Mega Millions).

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