If 25% of u. s. federal prison inmates are not u. s. citizens find the probability that 2 randomly selected inmates will not be u. s. citizens

Assume that we select inmates without replacement. Each selection is entirely dependent of others, since that 25% pertains to a very large population.

Thus, the prob. that two randomly selected inmates will not be U. S. citizens

is (1/4)(1/4) = 1/16. Here we multiply together the probabilities (1/4 or 0.25) of two such random selections.