SOLUTION: Lottery. A $2 Powerball lottery ticket has a 1/27.05 prob- ability of winning $4, a 1/317.39 probability of winning $7, a 1/10,376.47 probability of winning $100, a 1/913,129.18 p

Algebra ->  Probability-and-statistics -> SOLUTION: Lottery. A $2 Powerball lottery ticket has a 1/27.05 prob- ability of winning $4, a 1/317.39 probability of winning $7, a 1/10,376.47 probability of winning $100, a 1/913,129.18 p      Log On


   



Question 1195798: Lottery. A $2 Powerball lottery ticket has a 1/27.05 prob-
ability of winning $4, a 1/317.39 probability of winning $7, a 1/10,376.47 probability of winning $100, a 1/913,129.18 probability of winning $50,000, a 1/11,688,053.52 probabil- ity of winning $1,000,000, and a 1/292,201,338 probability of winning the Grand Prize. If the Grand Prize is currently $100,000,000, what is the expected value of a single Power- ball lottery ticket?

Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.
A $2 Powerball lottery ticket has a 1/27.05 probability of winning $4,
a 1/317.39 probability of winning $7, a 1/10,376.47 probability of winning $100,
a 1/913,129.18 probability of winning $50,000,
a 1/11,688,053.52 probability of winning $1,000,000,
anda 1/292,201,338 probability of winning the Grand Prize.
If the Grand Prize is currently $100,000,000, what is the expected value
of a single Power- ball lottery ticket?
~~~~~~~~~~~~~~~

It is  

     = -1.337889628 dollars.