What is the expected value of this game?

In a lottery game, a player picks six numbers from 1 to 25. If the player matches all six numbers, they win 50,000 dollars. Otherwise, they lose $1.

Jay P

Value for whom? The players? The lottery corporation ( the people running the lottery )? The odds are 1 in 177,100 of winning the prize. If there are no secondary prizes, the lottery corp. has the odds in their favour.

John F

There are 177,100 possible combinations. You do the rest of the math

Divide By Zero

This is the Gambling category, not 9th Grade Homework. What are you stuck on? I'll help if you want to learn, but not if you just want to cheat.


Your expected value is bloody awful. Roughly -$0.999 -- for every dollar you bet, you can expect to lose at least 99.9 cents.


With a chance of what? One in a billion? Lol


$127,462,000 for every $50,000 prize paid assuming you can sell billions of tickets. That is probably a dubious assumption.