SOLUTION: PLEASE HELP! A game consists of rolling a single fair die and pays off as follows: $3 for a 6, $2 for a 5, $1 for a 4, and no pay off otherwise. a) Find the expected winnings

Algebra ->  Probability-and-statistics -> SOLUTION: PLEASE HELP! A game consists of rolling a single fair die and pays off as follows: $3 for a 6, $2 for a 5, $1 for a 4, and no pay off otherwise. a) Find the expected winnings      Log On


   



Question 674638: PLEASE HELP!
A game consists of rolling a single fair die and pays off as follows: $3 for a 6, $2 for a 5, $1 for a 4, and no pay off otherwise.
a) Find the expected winnings for this game.
b) what is a fair price to play this game.
Please explain too! Thanks!

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
W
6 $3 1/6 3%2A%281%2F6%29+=+3%2F6
5 $2 1/6 2%2A%281%2F6%29+=+2%2F6
4 $1 1/6 1%2A%281%2F6%29+=+1%2F6 Expect winnings 6/6 or $1
A game in which the expected net winnings are zero is called a fair game.
b) what is a fair price to play this game. $1
Net
6 $2 1/6 2%2A%281%2F6%29+=+2%2F6
5 $1 1/6 1%2A%281%2F6%29+=+1%2F6
4 $0 1/6 0%2A%281%2F6%29+=+0
3 -$1 1/6 -1%2A%281%2F6%29+=+-1%2F6
2 -$1 1/6 -1%2A%281%2F6%29+=+-1%2F6
1 -$1 1/6 -1%2A%281%2F6%29+=+-1%2F6expected net winnings are zero