Suppose you are offered the chance to play a game with a fair, 3-sided die. The sides are numbered 1, 2, and 3 respectiv

[answerhappygod]

Suppose you are offered the chance to play a game with a fair,
3-sided die. The sides are numbered 1, 2, and 3 respectively, and
each number is equally likely to be observed.
The game consists of tossing this die twice and observing the
absolute difference between the 2 outcomes. If the absolute
difference is 2, then you win double your money back. If not, you
lose your money.
You pay R1 to play.
What would be the fair payout for this game?
What is the House Advantage of this game?
Thank You