If a player rolls 2 dice and gets n sum of 3, or 11 the player collects $15. If a player gets a sum of 12 the player collects $13. The get to play the game is $2. Let c+1 be the net money gained (I.e. money collected to play - (cost to play) by the player

1. construct the probability distribution of the random variable (x).
2. find the expected net gain of the player
3. is it a fair game for the player?