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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

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 2, the player collects $3. The net 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) constrict the prob distribution of the random variable (x)

2) find the expected net gain of the player.

3) Is it a fair game for the player?

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