In Get That Pair A Player Rolls A Pair Of Fair Dice Once If The Players Gets A P

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.

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