EuroMillions Odds Calculator

This calculator is EuroMillions—the Tuesday/Friday transnational lottery sold in Austria, Belgium, Switzerland, Spain, France, Ireland, Luxembourg, Portugal and the United Kingdom. Portuguese players know it as Euromilhões (Santa Casa da Misericórdia de Lisboa). Spanish players know it as Euromillones (SELAE). It is not EuroJackpot. The matrix is five main numbers from 1–50 plus two Lucky Stars from 1–12. A line is typically €2.50 (UK £2.50; Swiss pricing differs). Start with Tickets: how many distinct 5+2 keys you buy for one draw. A €25 slip with ten keys is Tickets = 10. A Portuguese “chave” and a UK “line” are the same object here.

Ticket Price defaults to 2.5. Leave it if you paid €2.50 or £2.50. Override for Switzerland or for add-on games bundled at the till (UK Millionaire Maker, French Etoile+, Portuguese extra bets) only if you want those extras charged against jackpot EV. Those add-ons do not change EuroMillions jackpot odds. Jackpot is the advertised euro amount. The cap is now €250 million and has been won at that ceiling (Austria 28 March 2025, Ireland 17 June 2025, France 19 August 2025). Earlier records include €240 million (Austria, 8 December 2023). Type the advertised figure for the draw you are pricing, in euros if you think in euros. The engine is currency-agnostic; it will not FX a sterling cash option for you.

Main Matches is 0–5 hits on the 5/50 main pool. Bonus Matches is how many Lucky Stars you matched: 0, 1 or 2, because two stars are drawn from 12. This is the first game on this list where Bonus Matches can be 2. The jackpot is Main Matches = 5 and Bonus Matches = 2. Second prize (5+1 star) is Main Matches = 5, Bonus Matches = 1. Matching five mains and zero stars is still a high tier. Set Bonus Matches incorrectly to 1 when you meant 2 and you will be reading the wrong prize odds.

Results: Jackpot Odds is 1 in C(50,5)×C(12,2) = 1 in 139,838,160. This Prize Odds uses hypergeometric on both pools for your m and b. Jackpot Chance = 1−(1−jackpotP)^tickets. This Prize Chance is the same for the selected tier. Jackpot EV = tickets×(jackpot×jackpotP − price). At a €250 million cap headline and €2.50, a single key’s jackpot-only EV is 250e6/139,838,160 − 2.50 ≈ €1.79 − €2.50 = −€0.71, ignoring sharing and lower rungs. Expected Jackpot Return is tickets×jackpot×jackpotP ≈ €1.79 at that cap. UK Must-Be-Won style rules and the four-draw freeze at the cap are not modelled; paste the advertised remaining jackpot and keep Tickets honest.

EuroMillions launched in 2004 as a joint game among national lotteries, not as a private operator product. Today it is sold in nine countries: Austria (Österreichische Lotterien), Belgium (Loterie Nationale / Nationale Loterij), Switzerland (Swisslos and Loterie Romande), Spain (SELAE — Euromillones), France (FDJ), Ireland (National Lottery), Luxembourg, Portugal (Santa Casa — Euromilhões) and the United Kingdom (Allwyn, formerly Camelot). Draws are Tuesday and Friday. The current matrix, 5 from 50 plus 2 Lucky Stars from 12, has been in place since 2016 (the star pool was 11 before that). Price is about €2.50 per line; UK tickets are £2.50 plus the Millionaire Maker code.

The jackpot starts in the low tens of millions of euros and rolls until it hits a cap. That cap has moved: €185 million, then €190 million, then a progressive €10 million climb from €200 million after 2020, and now a standing €250 million ceiling. When the cap is reached it can freeze for a limited number of draws before a must-be-won rolldown. The €250 million level was hit and won three times in 2025—Austria, then Ireland, then France—after a €240 million Austrian win in December 2023. Those are the famous jackpots to quote. Country-level records (largest Portuguese Euromilhões winner, largest Spanish Euromillones winner) sit below the transnational cap but still make national news.

EuroMillions is not EuroJackpot. EuroJackpot is a different consortium, typically €2, originally Friday-only, now also Tuesday in participating countries, with its own 5/50 + 2-from-12 Euro numbers matrix that only converged in shape after 2022, a €120 million cap, and a Helsinki draw under Veikkaus. Matching 5+2 on both games is 1 in 139,838,160 under current drums, which is a coincidence of combinatorics, not proof they are the same lottery. Operators, prize tables, country lists and caps differ. Portuguese and Spanish players can buy Euromilhões / Euromillones locally; they cannot treat a EuroJackpot slip as the same ticket.

UK players buy from Allwyn’s National Lottery; Portuguese players from Santa Casa; Spanish from SELAE. Same numbers, different retailers, different tax and claim rules. Switzerland’s split between Swisslos and Loterie Romande is another local detail the odds do not care about. This calculator prices the common 5/50 + 2/12 matrix. Use it when the slip is EuroMillions / Euromilhões / Euromillones. If the slip is EuroJackpot, Totoloto, UK Lotto, or FDJ Loto, go to those pages. Lucky Stars are not UK Lotto bonus balls and they are not Thunderballs.

EuroMillions as sold from Lisbon to London is five mains from fifty plus two Lucky Stars from twelve. France’s FDJ, Spain’s SELAE as Euromillones, Portugal’s Santa Casa as Euromilhões, the United Kingdom’s Allwyn, and the other national partners share that matrix, not a private operator. A line is typically two euros fifty. Jackpot combinatorics are 1 / [C(50,5)×C(12,2)] = 1/139,838,160. Two stars are a combination: C(12,2) = 66, not two independent twelfths and not 144. The working cap-era headline is two hundred fifty million euros when you stress the ceiling; ordinary starts sit far lower.

Main combinations: C(50,5) = 50×49×48×47×46 / 120 = 2,118,760. Multiply by sixty-six star pairs: 2,118,760×66 = 139,838,160. Matching five mains is one in 2.12 million; attaching both Lucky Stars produces the one-in-139.8-million first category. Before 2016 the star pool was eleven, C(11,2) = 55, and the jackpot denominator with five-from-fifty was 116,531,800. Do not pair a 2025 cap headline with eleven-star odds. EuroJackpot after 2022 uses the same 5/50 plus 2/12 sizes under Veikkaus; identical denominators are not identical lotteries.

Hypergeometric mains: C(5,k)×C(45,5−k)/C(50,5). Stars: C(2,s)×C(10,2−s)/C(12,2) for s in {0,1,2}. Five mains and one star: (1/2,118,760)×(20/66) = 20/139,838,160, one in 6,991,908. Five mains and zero stars: 45/139,838,160, about one in 3,107,515. Notice five-plus-zero is easier than five-plus-one because C(10,2) = 45 exceeds C(2,1)×C(10,1) = 20. Four mains and two stars: C(5,4)×C(45,1)/2,118,760 × 1/66 = 225/139,838,160, about one in 621,503. Mis-setting the star count by one reads the wrong tier.

Ten keys: 1−(1−1/139,838,160)^10 ≈ 10/139,838,160. Expected jackpot euros at two hundred fifty million are 250,000,000/139,838,160 ≈ 1.79 against 2.50, so jackpot-only expectation is about minus 0.71 a key at the cap, ignoring sharing. At a seventeen million start the same identity is about minus 2.38. Must-be-won rolldowns change who is paid, not the 5+2 probability on a normal draw. Twelve lower published tiers add omitted return.

Lucky Stars are not Thunderballs, not UK Lotto bonus balls, and not Euro numbers on a Helsinki slip. Portuguese and Spanish players buy the same 5+2 object under local brands. Keep €2.50, two stars from twelve, nine-country EuroMillions.