How Lottery Odds Actually Work (With Real Numbers)
Every lottery advertises a jackpot, but the odds of winning it vary enormously from game to game — often by a factor of 20 or more. Here's exactly how those odds are worked out, and the real, calculated numbers for every lottery on LottoScopeX.
The math in plain language
Lottery odds come from combinatorics — counting how many different ways you can choose a set of numbers from a larger pool, where the order you pick them doesn't matter. If a game asks you to pick 5 numbers from 50, there are exactly 2,118,760 different 5-number combinations possible. Only one of them will be drawn, so your odds of matching all 5 with a single ticket are 1 in 2,118,760 — before even considering any bonus numbers.
Most big lotteries add a second, independent draw for one or more bonus numbers (Lucky Stars, a Powerball, a Superzahl, and so on). Because that draw is separate from the main numbers, you multiply the two combination counts together to get the true jackpot odds. That's why adding just one more bonus number, or a slightly larger bonus pool, can change the odds by tens of millions.
Real jackpot odds, lottery by lottery
These are computed directly from each game's actual rules (numbers picked, pool size, and bonus draw) — not estimates or rounded marketing figures.
| Lottery | How you win the jackpot | Odds |
|---|---|---|
| Irish Lotto | 6 numbers from 47 | 1 in 10,737,573 |
| French Loto | 5 numbers from 49 + 1 Numéro Chance from 10 | 1 in 19,068,840 |
| EuroMillions | 5 numbers from 50 + 2 Lucky Stars from 12 | 1 in 139,838,160 |
| EuroJackpot | 5 numbers from 50 + 2 Euro Numbers from 12 | 1 in 139,838,160 |
| Lotto 6aus49 | 6 numbers from 49 + 1 Superzahl from 10 | 1 in 139,838,160 |
| Mega Millions | 5 numbers from 70 + 1 Mega Ball from 24 | 1 in 290,472,336 |
| Powerball | 5 numbers from 69 + 1 Powerball from 26 | 1 in 292,201,338 |
Note: for Irish Lotto specifically, the Bonus Ball only affects a lower prize tier — the jackpot itself only requires matching the 6 main numbers, which is why its odds look more favorable than a simple 6-from-47 comparison to other games might suggest.
Why the gap between games is so large
Notice that EuroMillions, EuroJackpot, and Lotto 6aus49 all land on exactly the same odds: 1 in 139,838,160. That's not a coincidence — all three ask you to pick from a pool of roughly the same size for both the main numbers and the bonus draw, even though the games look different on the surface. Powerball and Mega Millions, by contrast, use larger main number pools (69 and 70 respectively), which is a large part of why their jackpots tend to climb the highest before someone wins.
What this doesn't mean
Longer odds don't make a game "better" or "worse" — they're simply the trade-off between how often a jackpot gets won and how large it grows in the meantime. And critically, none of these odds are affected by anything in a lottery's history: not a long rollover streak, not which numbers have been "hot" or "cold," and not how long it's been since a jackpot was won. Every draw starts from the same fixed odds shown above.
To see how often each of these lotteries has actually rolled over recently, or which numbers have come up most in the last 100 draws, browse any lottery's page on LottoScopeX — every figure there is computed the same honest way as the odds on this page.