SOLUTION: If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expectation of this game?

SOLUTION: If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expectation of this game?

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Question 1147392: If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he
wins $20. The cost to play the game is $5. What is the expectation of this game?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The probability of rolling a 10 is 3/36 (55;46;64) That *10 is $30/36
For 3, it is probability is 2/36 (21;12) That *20 is $40/36
That sum is $70/36 or $1.94
The expected value is -$3.06.
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