In Get-that-pair, a player rolls a pair of fair dice once. If the players gets a pair; i. same number on both dice, then the player wins $20.

In Get-that-pair, a player rolls a pair of fair dice once. If the players gets a pair; i.e. same number on both dice, then the player wins $20. Otherwise, the player has to pay the house the amount equals to the sum of both dice. Determine the probability distribution, expected value, and standard deviation of a player's win.