In: Statistics and Probability
A random number X is generated by reporting the sum of the digits on two randomly chosen ping-pong balls, one from a bucket of two balls labeled “0” and “1” and one from a bucket of three balls labeled “0”, “1”, and “2”.
Find the probability mass function of X by specifiying the values x that X can take and the probability p(x) = P (X = x) of each of those values.
Please explain how you arrived at the final answer.