Lottery odds

Counting the tickets

Powerball draws five white balls from 69 and one red Powerball from 26. The order of the white balls doesn't matter, so the number of ways to pick five from 69 is 69 × 68 × 67 × 66 × 65 divided by 5 × 4 × 3 × 2 × 1, which comes to 11,238,513. Multiply by the 26 possible Powerballs and you get 292,201,338. One of those combinations wins. That is the jackpot odds Powerball publishes, and you can check it with a pocket calculator.

Mega Millions works the same way with different barrels: five from 70 and one Mega Ball from 24. Five from 70 is 12,103,014 combinations, times 24 is 290,472,336, which is the figure on the Mega Millions site.

A bookmaker has to guess at the chance of a team winning. The lottery doesn't guess. It knows its odds to the last ticket, and it sets the prizes knowing them, which is the one thing a book would envy.

The odds of winning anything

Powerball says the overall odds of winning a prize are 1 in 24.87. That sounds friendly until you read the chart and see which prize does most of the winning.

Match	Prize	Odds (1 in)
5 + Powerball	Jackpot	292,201,338
5	$1,000,000	11,688,053.52
4 + Powerball	$50,000	913,129.18
4	$100	36,525.17
3 + Powerball	$100	14,494.11
3	$7	579.76
2 + Powerball	$7	701.33
1 + Powerball	$4	91.98
0 + Powerball	$4	38.32

Those are the base prizes for a $2 play, without Power Play. Most of the "1 in 24.87" is the bottom two lines: you hit the Powerball alone, or the Powerball and one white ball, and get $4 back on a $2 ticket. Mega Millions doesn't print an overall figure on its how-to-play page, but adding up its published tier odds gives about 1 in 23, and there too most of the winners are the smallest prizes.

So when someone tells you the lottery "pays out all the time", they are right, and it is $4 at a time.

What a $2 ticket is worth

Here is the sum I'd do before buying any bet. Take each prize, divide it by its odds, and add them up. That is what the ticket returns on average.

For Powerball's fixed prizes (everything except the jackpot) the answer is about 32 cents per $2 play. The $1 million for matching five white balls is about 8.6 cents of that, and the $4 prizes are another 14.8 cents between them.

The jackpot is the rest of the value, and it moves. Take the cash value, because that is the money actually in the pool (the jackpots page explains the gap). On 27 October 2026 Powerball's site showed an estimated $716 million jackpot with a cash value of $307.2 million. Divide $307.2 million by 292,201,338 and the jackpot is worth about $1.05 a ticket.

Add the two and a $2 ticket is worth about $1.37 at that jackpot, before tax and before the chance that you share the prize with another winner. Both of those only lower it. For the ticket to be worth its $2 on this arithmetic, the cash value would need to be about $491 million, and then federal tax and other winners would still take you back under. The lottery taxes page has the federal side; state tax depends on where you live.

Against a sports bet

A straight bet at -110 gives the book about 4.5 percent. Mega Millions says 50 percent of its sales are paid back to players in prizes, so the house keeps half. No sportsbook I know of could deal a price like that and keep a customer, and the lottery does it because nobody buys a ticket for the price.

I don't say that to sneer. People buy a lottery ticket for a chance at a life-changing sum, and no -110 bet offers that. Just know the cost of the chance. If you spend $10 a week on Mega Millions, the game's own figure says about $5 of it comes back in prizes on average, and most players will do worse than average, because the average includes the jackpots almost nobody hits.

Picking numbers

Every combination has the same chance. Your birthday, 1-2-3-4-5, the numbers that "are due": the balls don't know any of it. No system changes the 1 in 292,201,338.

What your numbers can change is how many people you share with. Lots of players pick dates, which runs only from 1 to 31, and patterns on the slip. If your numbers win, so might theirs, and the jackpot gets split. A quick pick avoids the most crowded combinations without you having to think about it, and that's what I'd use. It doesn't make you more likely to win. It makes the win, if it comes, a bit more likely to be yours alone.

Buying more tickets does raise your chance, in a straight line: ten different tickets are ten chances in 292,201,338. That is still roughly 1 in 29 million, and it costs ten times as much. I'd set the amount first and let the odds be what they are. If the amount keeps climbing, the responsible gambling page is where I'd go next.