SOLUTION: A local PTA runs a fundraiser, selling lottery tickets for $5, offering 1 first prize of $100 and 5 second prizes worth $20 each. They sell 100 tickets. What is the expected value

Algebra ->  Probability-and-statistics -> SOLUTION: A local PTA runs a fundraiser, selling lottery tickets for $5, offering 1 first prize of $100 and 5 second prizes worth $20 each. They sell 100 tickets. What is the expected value       Log On


   



Question 981749: A local PTA runs a fundraiser, selling lottery tickets for $5, offering 1 first prize of $100 and 5 second prizes worth $20 each. They sell 100 tickets. What is the expected value of each ticket?
-$3
$3
-$2.7
$2.7
I have done this problem about 5 times and each time I get an answer of -$4. So im not sure of the answer so please help!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
$100 winner, P=1%2F100
$20 winner, P=5%2F100
$0 winner, P=94%2F100
E=100%281%2F100%29%2B20%285%2F100%29%2B0%2894%2F100%29-5
E=-3