SOLUTION: There is a game where the numbers 1 through 10 are put in hat and one number is picked. It costs $5 to play. If you pick a two then you win $15. If you pick an odd number then y

Algebra ->  Probability-and-statistics -> SOLUTION: There is a game where the numbers 1 through 10 are put in hat and one number is picked. It costs $5 to play. If you pick a two then you win $15. If you pick an odd number then y      Log On


   



Question 1147719: There is a game where the numbers 1 through 10 are put in hat and one number is picked. It costs $5 to play. If you pick a two then you win $15. If you pick an odd number then you win $7. You decide to play the game once. What are your expected winnings?
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.

Expected winning is  -5 + 15%2F10 + 7%2A%285%2F10%29 = -5 + 1.5 + 7*0.5 = 0.00 dollars.    ANSWER


In this solution,  1%2F10  is the probability to pick up a two.


5%2F10 is the probability to pick up an odd number.


-5 is the cost to play.


This solution and this answer assumes that the experiment  (the game)  is repeating many times.

Otherwise,  the notion  "Math expectation"  is not applicable.