A Mega Millions Lottery Ticket is a Good Investment

Mega Millions uses 75 numbers for the first five selections and 15 numbers for the Mega ball.

The number of unique combinations of five numbers selected from a pool of 75 is

$\frac{75!}{5!(75-5)!} = 17,259,390$

Multiply that times 15 possibilities for the Mega ball and the odds of winning come out to 1 in 258,890,850.

BUT THE CURRENT MEGA MILLIONS JACKPOT IS OVER $350 MILLION!

Any time you can get 350 million to one odds on a 258 million to one bet, you’ve got to take it.