EuroMillions Odds Calculator
Calculate exact winning probabilities for every EuroMillions prize tier, from the jackpot to the smallest match.
EuroMillions Jackpot Odds
1 in 25,425,120
Your odds of winning the EuroMillions jackpot with a single ticket by matching 5 from 1-50 + 1 Lucky Star from 1-12.
Format
5 from 1-50 + 1 Lucky Star from 1-12
Total Combinations
25,425,120
Country
🇪🇺 Europe
EuroMillions Prize Tier Odds
| Match | Odds |
|---|---|
| 5 main + Lucky StarJackpot | 1 in 25,425,120 |
| 5 main only | 1 in 2,311,374 |
| 4 main + Lucky Star | 1 in 112,992 |
| 4 main only | 1 in 10,272 |
| 3 main + Lucky Star | 1 in 2,568 |
| 3 main only | 1 in 233 |
| 2 main + Lucky Star | 1 in 168 |
| 2 main only | 1 in 15 |
Odds are calculated using the combination formula C(n,k) with BigInt precision. Actual prize amounts vary by draw and jurisdiction.
Understanding EuroMillions Odds and Probability
The EuroMillions lottery is one of the most popular games in Europe, attracting millions of players who dream of hitting the jackpot. The mathematics behind EuroMillions are rooted in combinatorics — the branch of mathematics that counts the number of ways items can be selected from a larger set.
EuroMillions Jackpot Math
| Step | Value |
|---|---|
| Main pool: pick 5 from 50 | 2,118,760 combinations |
| Lucky Star: 1 from 12 | × 12 |
| Jackpot odds | 1 in 25,425,120 |
How EuroMillions Prize Tiers Work
While the jackpot requires a perfect match, EuroMillions awards prizes for partial matches as well. Matching 3 of 5 main numbers is far more likely than matching all 5, which is why lower-tier prizes are smaller but won more frequently. The Lucky Star adds complexity — since it is drawn from a separate pool of 12 numbers, it effectively multiplies the number of possible outcomes and creates additional prize tiers.
Putting EuroMillions Odds in Perspective
Odds of 1 in 25,425,120 can be difficult to conceptualize. You are statistically more likely to be struck by lightning in a given year than to win the EuroMillions jackpot. Our calculator uses BigInt arithmetic to handle the extremely large factorials involved, ensuring every odds figure is mathematically exact. Play responsibly and treat the lottery as entertainment.
EuroMillions Odds FAQ
What are the odds of winning the EuroMillions jackpot?
The odds of winning the EuroMillions jackpot are 1 in 25,425,120. This is calculated using the combination formula C(n,k) applied to the EuroMillions format of 5 from 1-50 + 1 Lucky Star from 1-12.
How are EuroMillions odds calculated?
EuroMillions odds use the mathematical combination formula C(n,k) = n! / (k!(n-k)!). The total number of main-ball combinations is C(50, 5). This is then multiplied by 12 possible Lucky Star values to get the overall jackpot odds. Each unique ticket covers exactly one of these combinations.
What are the chances of winning any EuroMillions prize?
The odds of winning any prize in EuroMillions are much better than the jackpot odds. Lower prize tiers require matching fewer numbers, and the probability increases substantially as the required matches decrease. See the prize tier table above for exact odds at every level.
Does buying more EuroMillions tickets improve my odds?
Yes, each additional unique EuroMillions ticket gives you one extra chance. Buying 10 tickets makes you 10 times more likely to win than buying one. However, even with multiple tickets, the odds remain extremely long for the jackpot. The expected return on a lottery ticket is almost always negative.
Which lottery has better odds than EuroMillions?
Lotteries with smaller number pools generally offer better jackpot odds. Games with fewer main numbers or a smaller range, such as a 6/49 format, will have significantly better odds than larger formats. Use our odds calculator to compare EuroMillions odds with other games side by side.