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

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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)   (Show Source): You can put this solution on YOUR website!
.

Expected winning is  -5 +  +  = -5 + 1.5 + 7*0.5 = 0.00 dollars.    ANSWER


In this solution,    is the probability to pick up a two.


 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.



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