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The Math

Odds, expected value, and the arithmetic behind every lottery claim.

The MathPillar

When Is a Lottery Ticket Actually Worth Buying? The Expected Value Math

On pure expected value, almost never. A $2 Powerball ticket returns about $0.32 in non-jackpot prizes no matter how big the jackpot gets, so the jackpot itself has to make up $1.68 per ticket — and once you account for the cash option, federal tax and the chance of splitting, the advertised…

11 min read · 2,525 words

The MathPillar

15 Lottery Myths, Tested Against 4,346 Real Draws

Most lottery myths are simply false. A few describe real patterns and are still useless to you. None of them change your odds of winning a jackpot, because nothing does. Here are 15 of the most common, checked against the 4,346 Powerball and Mega Millions draws in our database.

11 min read · 2,573 words

The MathPillar

Powerball vs Mega Millions: Which One Should You Actually Play?

Mega Millions has slightly better jackpot odds — 1 in 290,472,336 versus Powerball's 1 in 292,201,338 — but that 0.6% edge is meaningless in practice. The real differences are price and payback: a Powerball ticket costs $2 and returns 16.0% of its price through non-jackpot prizes, while a $5…

12 min read · 2,655 words

The MathPillar

Powerball Odds Explained: What 1 in 292 Million Actually Means

The odds of winning the Powerball jackpot are 1 in 292,201,338. That number isn't a marketing figure or an estimate — it's a count. There are exactly 292,201,338 distinct tickets you could fill out, one of them wins, and you can reproduce the arithmetic yourself in about a minute. This article…

9 min read · 1,997 words

The Math

37 Things More Likely Than Winning the Powerball Jackpot

The odds of winning the Powerball jackpot are 1 in 292,201,338 — that's 0.00000034% per ticket. Almost everything else you can put a number on is more likely, including eight of the nine prize tiers on the very ticket you bought. Below are 37 of them, and every single figure is either taken…

10 min read · 2,277 words