Lottery Odds Calculator: What Are Your Real Chances?
Enter any lottery's pool size and ball count to calculate exact jackpot odds — and see how they compare to everyday probability events.
- October 9, 2026
- 9 min read
- #Lottery Odds
- #Powerball
- #Mega Millions
The Powerball jackpot odds are exactly 1 in 292,201,338 — not an estimate, but a precise figure derived from the combinatorics formula applied to a pool of 69 white balls and 26 red Powerballs. Mega Millions is even longer at 1 in 302,575,350. These numbers are published by the lottery operators themselves and are independently verifiable with basic math. Understanding how they're calculated — and what the other 8 prize tiers look like — gives you a complete, honest picture of what every ticket actually buys.
This guide covers the combination formula step-by-step, every prize tier for Powerball and Mega Millions, a head-to-head comparison of major world lotteries, what buying more tickets actually does to your odds, and the one number-selection adjustment that has a defensible statistical basis.
All jackpot odds on this page match the figures published by the official lottery operators. Prize amounts are fixed minimums; jackpots grow until won.
Lottery Odds Calculator
Enter any lottery's pool size and ball count to get exact jackpot odds and a full prize-tier breakdown — for Powerball, Mega Millions, Pick 3, Keno, or any custom game.
Calculate Lottery Odds →How Lottery Odds Are Calculated
Lottery odds use combinations — not permutations — because the order of the main balls drawn doesn't matter. The formula:
n = pool size · r = how many you pick. Total combinations = C(n,r). Jackpot odds = 1 ÷ total combinations.
Major Lottery Odds Compared
EuroJackpot offers jackpot odds 3× better than Powerball with jackpots reaching €120M+. Pick 3 Straight is 292,000× more likely to win the top prize than Powerball — but pays a fixed ~$500:
| Lottery | Pick | Jackpot Odds | Any Win | Starts At | Draws |
|---|---|---|---|---|---|
| 🇺🇸Powerball | 5 of 69 + 1 of 26 | 1 in 292,201,338 | 1 in 24.9 | $20M | 3×/week |
| 🇺🇸Mega Millions | 5 of 70 + 1 of 25 | 1 in 302,575,350 | 1 in 24.0 | $20M | 2×/week |
| 🇪🇺EuroJackpot | 5 of 50 + 2 of 12 | 1 in 95,344,200 | 1 in 26 | €10M | 2×/week |
| 🇪🇺EuroMillions | 5 of 50 + 2 of 12 | 1 in 139,838,160 | 1 in 13 | €17M | 2×/week |
| 🇺🇸Pick 3 Straight | 3 digits 0–9 exact order | 1 in 1,000 | 1 in 1,000 | ~$500 | 2×/day |
| 🇺🇸Pick 4 Straight | 4 digits 0–9 exact order | 1 in 10,000 | 1 in 10,000 | ~$5,000 | 2×/day |
| 🇺🇸Cash Pop | 1 of 15 — | 1 in 15 | 1 in 15 | $1,250 | 4×/day |
Full Prize-Tier Odds: Powerball & Mega Millions
There are 9 ways to win something in both Powerball and Mega Millions — not just the jackpot. The overall 1-in-24 odds include all these tiers:
🔴 Powerball — All 9 Prize Tiers
| Match | Odds | Fixed Prize |
|---|---|---|
| 5 + Powerball | 1 in 292,201,338 | Jackpot (starts $20M) |
| 5 (no PB) | 1 in 11,688,054 | $1,000,000 |
| 4 + Powerball | 1 in 913,130 | $50,000 |
| 4 (no PB) | 1 in 36,525 | $100 |
| 3 + Powerball | 1 in 14,494 | $100 |
| 3 (no PB) | 1 in 580 | $7 |
| 2 + Powerball | 1 in 701 | $7 |
| 1 + Powerball | 1 in 92 | $4 |
| Powerball only | 1 in 38 | $4 |
Power Play multiplier (2×–10×) applies to all non-jackpot prizes for an extra $1/ticket. Match 5 (no PB) with Power Play 10× pays $2,000,000.
🔵 Mega Millions — All 9 Prize Tiers
| Match | Odds | Fixed Prize |
|---|---|---|
| 5 + Mega Ball | 1 in 302,575,350 | Jackpot (starts $20M) |
| 5 (no MB) | 1 in 12,607,306 | $1,000,000 |
| 4 + Mega Ball | 1 in 931,001 | $10,000 |
| 4 (no MB) | 1 in 38,792 | $500 |
| 3 + Mega Ball | 1 in 14,547 | $200 |
| 3 (no MB) | 1 in 606 | $10 |
| 2 + Mega Ball | 1 in 693 | $10 |
| 1 + Mega Ball | 1 in 89 | $4 |
| Mega Ball only | 1 in 37 | $2 |
Megaplier (2×–5×) multiplies non-jackpot prizes. The Match 4+MB prize can reach $10,000 with Megaplier 2× ($20,000 with 4×).
Does Buying More Tickets Help?
Yes — proportionally. Not meaningfully in absolute terms:
| Tickets | Powerball jackpot odds | Cost at $2 |
|---|---|---|
| 1 | 1 in 292,201,338 | $2 |
| 10 | 1 in 29,220,134 | $20 |
| 100 | 1 in 2,922,013 | $200 |
| 1,000 | 1 in 292,201 | $2,000 |
| 100,000 | 1 in 2,922 | $200,000 |
| 10,000,000 | 1 in 29 | $20,000,000 |
A Powerball ticket's expected value is roughly $0.23–$0.38 — well below the $2 cost. Lotteries are negative-expected-value by design. That gap funds state education programs, infrastructure, and prizes for winners.
100 people pooling to buy 100 tickets are 100× more likely to win — but each person gets 1/100th of the prize. Mathematically identical to buying 1 ticket alone. Syndicates shift variance, not expected value.
Hot & Cold Numbers: What Draw History Shows
Each ball in a fair lottery draw has an equal, independent probability of being selected — past draws don't change future odds. But draw frequency data over hundreds of draws reveals genuine statistical patterns worth knowing:
Numbers drawn more frequently than the statistical average over a tracked period. In a truly random system, hot streaks are expected and will regress — but they can run for surprisingly long periods.
Numbers that have appeared less often than average. Sometimes called "overdue" — though mathematically, each draw resets. Cold streaks in fair draws are normal and don't predict imminent draws.
Over large samples (500+ draws), most numbers converge toward equal frequency. Deviations narrow. This is why statisticians track draw counts: meaningful outliers often indicate data patterns worth investigating.
Track frequency stats for Powerball, Mega Millions, EuroJackpot, Pick 3, Pick 4, and 30+ world lotteries. See which numbers are running hot and which are overdue — with full draw history going back years.
Overdue Numbers & Draw Streaks
An "overdue" number is one that hasn't appeared for more draws than statistically typical. For a Pick 3 game drawing twice daily, each digit (0–9) should appear roughly once every 10 draws. A digit absent for 30+ draws is a significant outlier. For Powerball (69 main numbers, 3 draws/week), each number should appear roughly every 23 draws on average — a number missing for 60+ draws is statistically notable.
See exactly how many draws each number has been absent for — for every Pick 3 and Pick 4 game across 40+ US states. Filter by state, game, and draw period.
The One Real Edge: Jackpot Splitting
No combination is more likely to be drawn than any other — every set of 5+1 Powerball numbers has exactly the same 1-in-292M chance. But which numbers you choose still matters for one reason: jackpot splitting.
Popular numbers — birthdays (1–31), sequences (1-2-3-4-5), multiples of 7 — are played by more people. If those numbers win, you divide the jackpot more ways. Choosing numbers above 31 and avoiding obvious sequences doesn't improve your odds of winning, but reduces the chance of sharing the prize if you do — slightly increasing expected take-home per ticket.
Track Draw Statistics on Lottorios
Knowing the odds is the first step. The second is tracking real draw data over time. Lottorios aggregates official draw results from 30+ lotteries worldwide and surfaces the statistics most players care about:
Full frequency histograms for every main number in Powerball, Mega Millions, EuroJackpot, Pick 3, Pick 4, and more — filterable by date range.
Complete jackpot history including all-time records, rolling jackpot trends, and how long jackpots typically go before being won.
Pick 3 and Pick 4 overdue tracking for every US state — updated twice daily after each draw.
Statistics for UK National Lottery, EuroMillions, German Lotto, Australian Powerball, and major lotteries across Europe, North America, and beyond.
Create a free Lottorios account to access hot/cold number trackers, draw history, frequency charts, and overdue statistics for every major lottery.
Get Free Access to Lottorios →Lior Tencher is the founder of Lottorios, a lottery statistics and tools platform covering 30+ world lotteries. He built the Lottery Odds Calculator and aggregates official draw results to surface frequency charts, hot/cold numbers, and overdue statistics for players worldwide. All odds figures on this page are cross-referenced against official lottery operator publications.
Want exact odds for a custom lottery, Pick game, or Keno? Enter any pool size and ball count — our calculator handles jackpot odds, all prize-tier probabilities, and Pick 2 through 10 box/straight/combo variations.
Open Lottery Odds Calculator →