you are challenged to a game in which 2 six sided die are rolled. The rules state that your opponent pays you a dime for each odd sum rolled. But you must pay your opponent a dime for each sum rolled

Is it a fair game? Does it matter that you can't roll the odd number 1 using 2 die. Use mathematical language and representations as you can to show that this is, or is not, a fair game. Would the game change if the dice are two different colors. Explain?

Question

you are challenged to a game in which 2 six sided die are rolled. The rules state that your opponent pays you a dime for each odd sum rolled. But you must pay your opponent a dime for each sum rolled

Is it a fair game? Does it matter that you can't roll the odd number 1 using 2 die. Use mathematical language and representations as you can to show that this is, or is not, a fair game.  Would the game change if the dice are two different colors. Explain?

anonymous · Answer

But you must pay your opponent a dime for each EVEN sum rolled right?

anonymous · Answer

Yes

anonymous · Answer

I get that is not fair but I can't explain why?