Lottery Odds Calculator
Estimate your odds of matching all numbers. Supports games with or without a bonus ball.
Assumes each ticket is a unique random combination and each draw is independent.
How lottery odds actually work
Lottery games are built on combinations. When a game says “pick 5 numbers from 69,” it means every unique set of 5 numbers is one possible outcome. Your chance of winning the top prize with one ticket is:
1 / (number of possible combinations)
If the game also includes a bonus ball (for example, pick 1 from 26), your true jackpot odds get much smaller because you must match both the main set and the bonus set. In that case:
Total jackpot combinations = C(mainPool, mainPick) × C(bonusPool, bonusPick)
What this calculator tells you
- Total number of possible jackpot combinations
- Single-ticket jackpot odds (for example, 1 in 292,201,338)
- Your chance of winning at least once over many tickets and draws
- Expected number of jackpot wins
- Total spend based on ticket price
Quick interpretation guide
A tiny probability is still a real probability, but it may be so small that buying more tickets only changes your chance from “almost zero” to “still very close to zero.” The calculator helps you see this clearly.
- One ticket chance: good for understanding baseline odds.
- At least one win chance: better for long-term play plans.
- Expected wins: average over huge numbers of repeated attempts, not a promise of what will happen to you.
Example: jackpot-style lottery
If a game uses 5 numbers from 69 plus 1 bonus number from 26, there are 292,201,338 possible jackpot outcomes. One ticket gives odds of 1 in 292,201,338. Buying 100 tickets in one draw makes your chance better, but still extremely small. That’s why jackpot lotteries can grow so large: winners are rare by design.
Common mistakes people make
1) “I’ve played for years, so I’m due.”
Past draws do not change future draw probabilities. Lottery draws are independent events.
2) “I almost won, so next time is better.”
Near misses do not increase future odds. They feel meaningful emotionally, but mathematically they are still losses.
3) “More tickets guarantees a win eventually.”
More tickets increase your probability, but there is no guarantee unless you buy every possible combination (which is usually impractical and costly).
Play responsibly
A lottery can be entertainment, not a financial plan. If you use this calculator, use it to set clear boundaries: a budget, a time horizon, and realistic expectations. The best outcome is enjoying the game without harming your financial goals.