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EuroJackpot Odds Explained

Every lottery ticket buys you one shot at every combination. Here's the full mathematical breakdown of your chances for every EuroJackpot prize tier — and honest context on what those numbers actually mean.

Jackpot odds

Total combinations

About 139.8 million

139,838,160

Overall win odds

any prize, any tier

How the maths works

Lottery odds come from combinatorics — counting how many ways you can choose a subset of numbers from a pool. The formula is:

C(n, r) = n! / (r! × (n − r)!)

where n = pool size, r = numbers to choose

For EuroJackpot, you pick 5 numbers from 150 (a pool of 50 numbers):

C(50, 5) = 50! / (5! × 45!) = 2,118,760 combinations

Then you also pick 2 Euro Numbers numbers from 112 (a separate pool of 12 numbers):

C(12, 2) = 66 combinations

Since the two draws are independent, multiply them together:

2,118,760 × 66 = 139,838,160 total combinations

Each ticket covers exactly one combination, so your jackpot odds are 1 in 139,838,160 — which matches the official published odds.

Frequently asked questions

What are the odds of winning the EuroJackpot jackpot?
The jackpot odds for EuroJackpot depend on the prize pool and draw rules. See the full prize table above for the exact figures.
How are EuroJackpot odds calculated?
EuroJackpot odds are calculated using combinatorics — specifically the combination formula C(n,r) = n! / (r! × (n-r)!). You pick 5 numbers from 1–50, giving C(50,5) = 2,118,760 combinations, multiplied by C(12,2) = 66 for the Euro Numbers ball. The total is 139,838,160 possible outcomes.
Does buying more EuroJackpot tickets improve my odds?
Yes — each additional ticket gives you one extra combination. If the jackpot odds are 1 in N and you buy 10 tickets, your odds become roughly 10 in N, or 1 in N/10. That said, even 10 tickets still leaves you with an astronomically small chance of winning the jackpot.
What are the best numbers to pick for EuroJackpot?
There are no "best" numbers. Every combination has an identical probability of being drawn. Quick picks (random numbers) are statistically equivalent to any hand-picked combination. This generator uses cryptographically strong randomness so your picks are as random as possible.
What is the overall chance of winning any prize in EuroJackpot?
The overall odds of winning any prize depend on the number of prize tiers. See the full prize table for details.

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