Problem 2. Fair Game?
A few students want me to play a game with them. They will give me a
dime for each odd sum I roll with 2 die. I have to give them a dime for each
even sum they roll with two die. I think I'm going to get cheated!
+
odd
even
=
+
Are the chances of me getting an odd sum as good as the chances that
they will get an even sum? Should I play this game with the students?
Using as much mathematical language and representation as you can,
show me that this is or is not a fair game.​