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
hint: there is only one sum 3
the thee dice has a 1.
- $5
+ (1/216)* $10
with the configuration { 1, 1, 1} each of
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 require solution.