# MegaMillions

1 in 135,145,920

Those are the odds of winning the mega lottery jackpot tonight. The jackpot is roughly \$376,900,000 right now*. I wanted to know how many games of roulette you’d have to win before you’d have the same odds as winning the lottery. My next obvious question: if you won every time would you have more or less money than if you’d won the lottery?
*\$376M is the cash return. The payment over time is the more popularly advertised value of \$600M

A few assumptions:
1. This is a no limit roulette table
2. You bet all your winnings on the next winning color every time (no green!)

Playing either red or black on a roulette wheel will return a 48.6% win rate.

So 0.486^x = 1/135,145,920 should tell us how many spins!

what’s the result? twenty six spins!
Actually not exactly twenty six spins, that’d be amazingly coincidental.
26 spins is 1/140,429,063
Close enough for MikeDiDonato.com!

Let’s see which option has a better return on investment:

A lottery ticket costs \$2.00.
Each roulette win gives you 2:1 odds.

26 wins in a row would return \$67,108,864
Sounds like you should head to the convenience store instead of the casino tonight.

But then again… how many more spins would surpass the \$376M?
Twenty nine spins (total \$536,870,912)- although one more correct call would put you over a billion… it is worth it? Just one more spin? What do ya say?