Throw an unfair coin. The chance of getting a head is twice of getting a tail. Let X be the Bernoulli random variable and X(H)=1 , X(T)=0. Write the pmf of X and find the expectation of X Solution pmf of X is p(X) = 1 if heads = 0 if Tails Expectation of X = 1*(2/3) + 0*(1/3) = 2/3.