Formula
The chance of matching exactly m numbers is C(k, m) × C(n − k, d − m) ÷ C(n, d), where n is the numbers in the game, d the numbers drawn and k the numbers you mark.
Example
In a 6/49 lotto there are 13,983,816 possible draws, so one ticket has a 1 in 13,983,816 chance of hitting all six numbers. Matching 5 is 1 in 54,201 and matching 4 is 1 in 1,032.
For Powerball and Mega Millions, the white balls are only part of the odds: the extra ball multiplies them. Powerball’s jackpot odds are about 1 in 292 million.
The honest truth
- Every draw is random and independent. “Hot” or “late” numbers do not exist.
- Lotteries pay out less than they take in, so on average players lose money.
- Play only for fun and with money you can spare.
Frequently asked questions
Does marking more numbers help?
It covers more combinations, but the ticket costs proportionally more. The chance per dollar stays the same.
Are some combinations luckier, like 1-2-3-4-5-6?
No. Every combination has exactly the same chance; popular patterns only mean you would share the prize with more people.
See also
Results are estimates for information only and are not financial, legal or medical advice. Rates, taxes and fees vary — confirm with a professional or your lender.