SOLUTION: In a lottery game, a player picks six numbers from 1 to 27. If the player matches all six numbers, they win 50,000 dollars. Otherwise, they lose $1. What is the expected value o

Algebra ->  Probability-and-statistics -> SOLUTION: In a lottery game, a player picks six numbers from 1 to 27. If the player matches all six numbers, they win 50,000 dollars. Otherwise, they lose $1. What is the expected value o      Log On


   



Question 1161811: In a lottery game, a player picks six numbers from 1 to 27. If the player matches all six numbers, they win 50,000 dollars. Otherwise, they lose $1.
What is the expected value of this game? $

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Odds of winning:


Therefore, the odds of losing are: 296009%2F296010

Expected value:
%281%2F296010%29%2A%2850000%29+-+%28296009%2F296010%29%2A%281%29+=+-82003%2F98670=+-0.83

So, the expected value of the game is about $-0.83.