1. Three friends, Aaron, Blake, and Colin, meet together every week to play poker. They each buy in for $100, and play until one of them has it all. Poker is a game of skill, but also a game of luck - the winner each week is modeled as a discrete random variable X with distribution parameterized by Ga and 0% with P(X = A) = Ga, P(X = B) = 06, P(X =C) =1 -Ga -0b: where Ga, 06 20, and Ga + 06