Consider a population with m+n elements, where n of them are 1 and m of them are 0. Then sample two points randomly from the population.
a) Suppose we sample them without replacement, which corresponds to the random sample. Calculate the probability of the outcomes (0,0), (0,1), (1,0) and (1,1).
b) Suppose we sample them with replacement. Calculate the probability of the outcomes (0,0), (0,1), (1,0) and (1,1).
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