EuroMillions Odds Calculator

The following EuroMillions odds calcaultor, will show you the odds of winning EuroMillions according to the amount of tickets you’ll purchase.

EuroMillions Odds

EuroMillions is a popular lottery game where players choose 5 main numbers from a range of 1 to 50 and 2 Lucky Star numbers from a range of 1 to 12.

The odds of winning the EuroMillions with a single ticket are 1 in 139,838,160.

Odds of Winning EuroMillions Based on Number of Tickets

The more tickets you purchase, the better your odds of winning. Here are the odds based on different numbers of tickets:

Odds of Winning Guessing Partial Numbers In EuroMillions

Even if you don’t win the jackpot, you might still win a prize by matching some of the numbers. Here’s a table showing the odds of guessing partial numbers correctly from the main number set (5 balls from 1 to 50):

EuroMillons Odds – Formula

The EuroMillions odds are calculated using combination formula:

\binom{n}{r} = \frac{n!}{r!(n-r)!}

• For the EuroMillions main numbers, the total number of combinations for choosing 5 out of 50 is:

\binom{50}{5} = \frac{50!}{5!(50-5)!} = 2,118,760

• For the Lucky Stars, the total number of combinations for choosing 2 out of 12 is:

\binom{12}{2} = \frac{12!}{2!(12-2)!} = 66

Total Odds Calculation

The total number of possible combinations is the product of the combinations for the main numbers and the Lucky Stars:

\text{Total Combinations} = \binom{50}{5} \times \binom{12}{2} = 2,118,760 \times 66 = 139,838,160

Partial Odds Calculation

To calculate the odds of guessing partial numbers correctly:

• For example, the odds of guessing 4 out of 5 numbers correctly from the main set (without considering Lucky Stars) are:

\text{Odds} = \frac{\binom{5}{4} \times \binom{45}{1}}{\binom{50}{5}} = \frac{5 \times 45}{2,118,760} = \frac{225}{2,118,760} \approx 1 \text{ in } 9,631