Suppose a bowl has 9 chips. One chip is labeled "1", three chips are labeled "3", and five chips are labeled "5". Suppose two chips are selected at random with replacement. Let the random variable X equal the absolute difference between two draws (e.g. if the first draw is 1 (11) and the second draw is 5 (52), then the absolute difference is |1-5|=4.
Find the probability distribution of X
Find the probability that both draws are the same.