Mega Millions Odds Calculator
Calculate exact winning probabilities for every Mega Millions prize tier, from the jackpot to the smallest match.
Mega Millions Jackpot Odds
1 in 302,575,350
Your odds of winning the Mega Millions jackpot with a single ticket by matching 5 from 1-70 + 1 Mega Ball from 1-25.
Format
5 from 1-70 + 1 Mega Ball from 1-25
Total Combinations
302,575,350
Country
🇺🇸 USA
Mega Millions Prize Tier Odds
| Match | Odds |
|---|---|
| 5 main + Mega BallJackpot | 1 in 302,575,350 |
| 5 main only | 1 in 12,607,306 |
| 4 main + Mega Ball | 1 in 931,000 |
| 4 main only | 1 in 38,791 |
| 3 main + Mega Ball | 1 in 14,525 |
| 3 main only | 1 in 605 |
| 2 main + Mega Ball | 1 in 675 |
| 2 main only | 1 in 28 |
Odds are calculated using the combination formula C(n,k) with BigInt precision. Actual prize amounts vary by draw and jurisdiction.
Understanding Mega Millions Odds and Probability
The Mega Millions lottery is one of the most popular games in USA, attracting millions of players who dream of hitting the jackpot. The mathematics behind Mega Millions are rooted in combinatorics — the branch of mathematics that counts the number of ways items can be selected from a larger set.
Mega Millions Jackpot Math
| Step | Value |
|---|---|
| Main pool: pick 5 from 70 | 12,103,014 combinations |
| Mega Ball: 1 from 25 | × 25 |
| Jackpot odds | 1 in 302,575,350 |
How Mega Millions Prize Tiers Work
While the jackpot requires a perfect match, Mega Millions awards prizes for partial matches as well. Matching 3 of 5 main numbers is far more likely than matching all 5, which is why lower-tier prizes are smaller but won more frequently. The Mega Ball adds complexity — since it is drawn from a separate pool of 25 numbers, it effectively multiplies the number of possible outcomes and creates additional prize tiers.
Putting Mega Millions Odds in Perspective
Odds of 1 in 302,575,350 can be difficult to conceptualize. You are statistically more likely to be struck by lightning in a given year than to win the Mega Millions jackpot. Our calculator uses BigInt arithmetic to handle the extremely large factorials involved, ensuring every odds figure is mathematically exact. Play responsibly and treat the lottery as entertainment.
Mega Millions Odds FAQ
What are the odds of winning the Mega Millions jackpot?
The odds of winning the Mega Millions jackpot are 1 in 302,575,350. This is calculated using the combination formula C(n,k) applied to the Mega Millions format of 5 from 1-70 + 1 Mega Ball from 1-25.
How are Mega Millions odds calculated?
Mega Millions odds use the mathematical combination formula C(n,k) = n! / (k!(n-k)!). The total number of main-ball combinations is C(70, 5). This is then multiplied by 25 possible Mega Ball values to get the overall jackpot odds. Each unique ticket covers exactly one of these combinations.
What are the chances of winning any Mega Millions prize?
The odds of winning any prize in Mega Millions are much better than the jackpot odds. Lower prize tiers require matching fewer numbers, and the probability increases substantially as the required matches decrease. See the prize tier table above for exact odds at every level.
Does buying more Mega Millions tickets improve my odds?
Yes, each additional unique Mega Millions ticket gives you one extra chance. Buying 10 tickets makes you 10 times more likely to win than buying one. However, even with multiple tickets, the odds remain extremely long for the jackpot. The expected return on a lottery ticket is almost always negative.
Which lottery has better odds than Mega Millions?
Lotteries with smaller number pools generally offer better jackpot odds. Games with fewer main numbers or a smaller range, such as a 6/49 format, will have significantly better odds than larger formats. Use our odds calculator to compare Mega Millions odds with other games side by side.