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EuroMillions and 6/45: different urns, same randomness

Search asks whether EuroMillions is “easier” than Lotto. Easier only means a different sample space, not a forecast. EuroMillions draws 5 of 50 plus 2 stars of 12; Korea Lotto is C(45,6). powerball-vs-lotto6 and powerball-vs-mega-millions-odds are other URLs. Draws are random.

Two formulas

6/45 first prize is C(45,6)=8,145,060. EuroMillions first is C(50,5)×C(12,2), much larger. Do not memorise a slogan; see the boxes.

Stars are not Korea’s bonus

The two stars are a second urn. Not the Korean bonus-ball cell.

Rollovers

A larger jackpot often leaves the first-prize cell count unchanged. See rollover-does-not-raise-odds.

Responsibility

Entertainment. FX, tax, and claims are the operator and a tax office.

Two spaces

6/45C(45,6)
EuroMillionsC(50,5)×C(12,2)
StarsSecond urn
ForecastNo

Arithmetic, not a winning tip.

Related

FAQ

Which is easier to hit?
The spaces differ. “Easier” is not a forecast.
Same as the Powerball page?
Different URL.
Picking method?
None.
Prediction?
No. Sample-space compare.

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

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