How Lottery Odds Are Calculated
Every lottery game has fixed odds determined by its rules — how many numbers you pick, the size of the pool, and whether a bonus ball is drawn from a separate pool. The Lottery Odds Calculator on Lottorios lets you enter any combination of these values to calculate the exact probability for any game, real or custom.
For jackpot games like Powerball and Mega Millions, the odds are the product of two independent draws: choosing the main numbers and matching the bonus ball. Powerball requires picking 5 from 69 and matching 1 from 26 — giving odds of 1 in 292,201,338. Mega Millions requires picking 5 from 70 and matching 1 from 25 — giving odds of 1 in 302,575,350.
- Pool Size: Total numbers available to draw from
- Pick Count: How many numbers you choose
- Bonus Ball: Whether a separate bonus pool exists
- Tickets: How many tickets you play
Use the calculator above to model any game and see exactly how each variable affects your odds.
Powerball vs Mega Millions Odds Compared
Powerball and Mega Millions are the two largest lottery games in the United States. While their jackpot odds are similar — both exceeding 1 in 290 million — the exact mechanics differ slightly.
- Powerball: Pick 5 from 69, Powerball from 26 — odds of 1 in 292,201,338
- Mega Millions: Pick 5 from 70, Mega Ball from 25 — odds of 1 in 302,575,350
The Lottery Odds Calculator is pre-configured with both games. Select either from the game picker above, or enter custom values to model any lottery worldwide.
Which Lottery Game Has the Best Odds?
If winning matters more than jackpot size, smaller state lottery games offer significantly better odds than national multi-state games. Here is how the most popular US lottery games compare:
- Pick 3 (Straight): 1 in 1,000 — best odds of any draw game
- Pick 4 (Straight): 1 in 10,000
- Pick 5 (Straight): 1 in 100,000
- Pick 6 (Straight): 1 in 1,000,000
- Keno (10-spot, match all 10): 1 in 8,911,711
- Powerball: 1 in 292,201,338
- Mega Millions: 1 in 302,575,350
The trade-off is always odds vs. prize size. Pick 3 pays around $500 for a $1 straight bet. Keno top prizes reach $100,000 or more. Powerball can pay hundreds of millions — but you are nearly 300,000× less likely to win than Pick 3.
Use the Lottery Odds Calculator above to enter the exact parameters of any game and compare combinations side by side.
Lottery Odds with Multiple Tickets
Buying more tickets does increase your odds, but the improvement is linear while the jackpot odds are astronomical. Here is what multiple tickets actually do for Powerball:
- 1 ticket: 1 in 292,201,338
- 10 tickets: 1 in 29,220,134
- 100 tickets: 1 in 2,922,013
- 1,000 tickets: 1 in 292,201
Even with 1,000 tickets — spending $1,000 per draw — your odds are still worse than 1 in 292,000. Enter your ticket count in the calculator above to see the exact combined probability for any game.
Lottery Odds — Frequently Asked Questions
What are the odds of winning Powerball?
The odds of winning the Powerball jackpot are 1 in 292,201,338. This is calculated by choosing 5 numbers from a pool of 69, then matching the Powerball from a separate pool of 26.
What are the odds of winning Mega Millions?
The odds of winning the Mega Millions jackpot are 1 in 302,575,350. This is calculated by choosing 5 numbers from a pool of 70, then matching the Mega Ball from a separate pool of 25.
How do lottery odds work?
Lottery odds are calculated using combinatorics. For a game where you pick k numbers from a pool of n, the number of possible combinations is C(n,k) = n! ÷ (k! × (n−k)!). If there is a bonus ball drawn from a separate pool of m numbers, the total combinations become C(n,k) × m.
Does buying more tickets improve my odds?
Yes, but minimally. Buying 10 tickets changes your Powerball odds from 1 in 292,201,338 to 10 in 292,201,338 (roughly 1 in 29,220,134). While this is 10× better, your probability of winning remains extremely small.
What is a bonus ball and how does it affect odds?
A bonus ball is drawn from a separate, smaller pool after the main numbers. Because it is an independent draw, it multiplies the total combinations. For Powerball, the bonus ball pool of 26 multiplies the 11,238,513 main combinations by 26 to produce the final odds of 1 in 292,201,338.
Which US lottery has the best odds of winning?
State Pick 3 games offer the best odds of any draw lottery — 1 in 1,000 for a straight bet. Pick 4 is 1 in 10,000 and Pick 5 is 1 in 100,000. Multi-state jackpot games have far worse odds: Powerball is 1 in 292,201,338 and Mega Millions is 1 in 302,575,350. The trade-off is prize size — jackpot games pay hundreds of millions while Pick 3 pays around $500.
What are the odds of winning a lottery jackpot with 2 tickets?
With 2 tickets your odds double compared to 1 ticket. For Powerball, 1 ticket gives you odds of 1 in 292,201,338 — so 2 tickets give you 2 in 292,201,338, or roughly 1 in 146,100,669. The improvement is proportional but the absolute probability remains very small. Use the Tickets field in the calculator above to see exact odds for any number of tickets.
How are lottery winning combinations calculated?
The number of possible winning combinations is calculated using the binomial coefficient formula: C(n, k) = n! ÷ (k! × (n−k)!), where n is the pool size and k is how many numbers you pick. For Powerball main numbers: C(69, 5) = 11,238,513 combinations. Multiplied by the Powerball pool of 26 gives 292,201,338 total combinations — meaning one jackpot winner per 292 million possible tickets.
Can I use this calculator for international lotteries?
Yes. The Lottery Odds Calculator works for any lottery worldwide. Enter the pool size (total numbers to choose from), pick count (how many you select), and bonus ball pool size if applicable. For example, EuroMillions requires picking 5 from 50 and 2 Lucky Stars from 12 — giving jackpot odds of 1 in 139,838,160.
What is the probability of winning Powerball twice?
The probability of winning Powerball twice (in two separate draws) is the odds multiplied together: (1 ÷ 292,201,338) × (1 ÷ 292,201,338) = approximately 1 in 85,301,620,771,500,000 (85 quadrillion). Each draw is completely independent, so a previous win does not affect future odds.
What are Pick 6 lottery odds?
Pick 6 is a daily numbers game where players choose 6 digits from 0 to 9. A straight bet (all 6 digits in exact order) has odds of 1 in 1,000,000. Box bets — where order does not matter — offer better odds at the cost of lower prizes. A 720-way box (all 6 digits different) has odds of 1 in 1,389. Use the Lottery Odds Calculator to explore every Pick 6 bet type and its exact odds.
How does Keno work and what are the odds?
In Keno, you select between 1 and 10 numbers (called spots) from a pool of 1 to 80. The lottery then draws 20 numbers. Your prize depends on how many of your picks match the drawn numbers. For a 10-spot Keno ticket, the odds of matching all 10 are 1 in 8,911,711. Matching 5 of 10 is 1 in 19. Use the Keno tab in the calculator above to see the full odds table for any number of spots.
What is the difference between Pick 6 and Keno?
Pick 6 is a fixed 6-digit game (digits 0–9) where you try to match the drawn sequence. Keno is a selection game where you choose up to 10 numbers from a pool of 80 and the draw reveals 20 numbers — your prize depends on how many you matched. Pick 6 has fixed bet types (straight, box), while Keno pays on partial matches. Pick 6 straight odds are 1 in 1,000,000; Keno jackpot odds (10-spot all match) are 1 in 8,911,711.