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?

Algebra ->  Probability-and-statistics -> 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?      Log On


   



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) About Me  (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.