Eurojackpot: Two Euro Numbers Without Replacement

Eurojackpot combines five main numbers from 50 with two distinct Euro numbers from 12. Both sets are unordered. The reviewed price context is Germany; this does not mean that the transnational game exists only in Germany.

Review jurisdiction
Transnational game; price reviewed for Germany
Base number format
5 from 50 + 2 from 12 in a separate pool
Official jackpot odds
1 in 139,838,160
Draw days
Tuesday, Friday
Base price
EUR 2
Price scope
Germany: EUR 2 per field plus handling fees per ticket; not the final transaction total.
Last reviewed

How the jackpot odds are calculated

C(50,5) × C(12,2) = 139,838,160. With uniform unordered selections and independent separate pools where applicable, one exact ticket has probability 1/139,838,160. The exact BigInt count matches the reviewed official jackpot denominator.

Static result: 1 in 139,838,160; official match.

Why 12 × 12 would be wrong

The two Euro numbers cannot repeat. Multiplying 12 by 12 includes impossible repeated pairs. Multiplying 12 by 11 counts each permitted pair twice because order does not matter. Dividing that ordered count by two gives C(12,2)=66.

The main set has C(50,5)=2,118,760 possibilities. Pairing it with 66 Euro-number sets gives 139,838,160 possible base tickets. EuroMillions has the same reviewed pool sizes, so its base jackpot denominator is also the same. Equal jackpot odds do not establish equal total payouts, prices, taxes or additional raffle chances.

The German EUR 2 stake excludes handling fees. It should not be shown as a universal final ticket price in a cross-country comparison.

What understanding the odds can and cannot do

For t distinct tickets in the same uniform base draw with N equally likely outcomes, jackpot coverage is t/N when 0 ≤ t ≤ N. Buying duplicate selections does not add new outcomes. Across independent draws, if each ticket event has fixed probability p, the chance of at least one success in t draws is 1−(1−p)^t. This explains probability; it does not recommend more spending.

Balanced selections, birthdays and past draw frequencies do not improve the jackpot chance of a particular valid ticket. LottoFlick does not predict winning numbers. Use the combination calculator to explore models and the Explorer to compare field scopes.

Official evidence and limits

Verified status applies to the stated base format and sourced fields. Claim deadlines, taxes, additional products and live jackpot amounts are not verified here. Check the responsible operator before purchasing or claiming a ticket.

Random number generator · Verification methodology