If a gambler rolls three dice and gets a sum of 10, the gambler wins $20, and if the gambler gets a sum of three they win $10. The cost to play the game is $5. What is the expectation ( expected value) of this game? ( Hint find the probability of sum of 10 by finding the number of sums of 10 possible. See for example section 4.5 notes for sum 7 in the 121 page pdf file notes posted on canvas). hint: Use the formula (#/216)*$20 + (1/216) * $10 - $5 hint: there is only one sum 3 with the configuration { 1, 1, 1 } each of the dice has a 1. Find the number of sum tens possible using the example in my notes posted on canvas for number of sum 7 and substitute it for # above to get the required solution.
If a gambler rolls three dice and gets a sum of 10, the gambler wins $20, and if the gambler gets a sum of three they win $10. The cost to play the game is $5. What is the expectation ( expected value) of this game? ( Hint find the probability of sum of 10 by finding the number of sums of 10 possible. See for example section 4.5 notes for sum 7 in the 121 page
hint: Use the formula (#/216)*$20 + (1/216) * $10 - $5
hint: there is only one sum 3 with the configuration { 1, 1, 1 } each of the dice has a 1.
Find the number of sum tens possible using the example in my notes posted on canvas for number of sum 7 and substitute it for # above to get the required solution.
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