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.

Eurojackpot: the numbers behind the odds

Ticket format
5 of 50 + 2 of 12
Calculated vs official odds
Calculated 1 in 139,838,160 (≈ 7.151 × 10^-9). Official 1 in 139,838,160 (Eurojackpot game information, reviewed 2026-10-04). Equal.
Official odds of any prize
not established for this game.
1,000 distinct tickets
cover 1,000 of 139,838,160 outcomes (about 1 in 139,838); duplicates add nothing.
One-number neighbours
225 tickets (5 × 45: choose which of your 5 main numbers to replace, and which of the 45 unused numbers replaces it) differ from yours in exactly one main number, other pools unchanged. With yours they cover 226 of 139,838,160 outcomes (about 1 in 618,752). This counts ticket combinations; a different ticket is not a likelier one.
One fixed ticket, 1,000,000 independent draws
expected jackpot hits 0.00715 (1,000,000 ÷ 139,838,160); chance of at least one hit 0.713% (1 − (1 − 1/139,838,160)^1,000,000). Exact calculation, not a played or simulated result.

Calculated values assume equally likely combinations, drawing without replacement and independent pools; prizes, taxes, ticket costs and rule changes are not modelled. None of this predicts real draws or recommends buying tickets.

Game guides: Powerball · Mega Millions · Lotto 6/45 · Oz Lotto

What understanding the odds can and cannot do

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.

Open this game in the Lottery Lab: rules, simulation and coverage

Random number generator · Verification methodology