A box contains two coins: a fair coin and a biased coin with probability 2/3 to land on heads. A coin is randomly chosen and tossed once. Define the random variable X as a Bernoulli random variable associated with this coin toss. That is, X = 1 if the result of the coin toss is heads and X = 0 otherwise. Next, the remaining coin in the box is taken and tossed once. Now, define the random variable Y as a Bernoulli random variable associated with the second coin toss. That is, Y = 1 if the result of the coin toss is heads and Y = 0 otherwise. Find the joint PMF of X and Y. Are X and Y independent? Explain