First find the possible dices rolls that give you 10, 11, and 12
Gives 10:
5,5
4,6
6,4
Gives 11 or 12:
5,6
6,5
6,6
The dice rolls have 6 * 6 = 36 possible combinations
The probability of getting a 10 is 3/32
The probability of getting an 11 or 12 is 3/32
multiplying those probabilities together with their reward/loss we have:
3/32 * -8 = -3/4
3/32 * 11 = 33/32
to make the game "fair" we need the probable amount of money you can win to be $0, so we can use the equation
-3/4 + 33/32 + (32/32 - 6/32)*x = 0
then you can just solve for x
You multiply 12.5 points a game by 24 games and get 300 points for a season
Answer:
v 39 degree
z 47 degree
x 94 degree
sry don't know about w and y....
