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...assigned to the same office...? The computer science department has 6 graduate assistants who are assigned to the same office. If any assistant is twice as likely to study at home as in this office, which can get noisy, then how many desks should be put in the office so that everyone who...

A billiard ball is drawn at random from a box containing 15 balls numbered 1 to 15, and its number n is recorded. What is the probability that n is less than 10? What is the probability that n is an odd number?

equivalence relations? Determine the properties of an equivalence relation (reflexive, symmetric, transitive) that the others lack. a) { (f,g) | f(0) = g(0) or f(1) = g(1) } b) { (f,g) | for some C ? Z, for all x ? Z, f(x) - g(x) = C } c) { (f,g) | f(0) = g(1) and f(1) = g(0) } *Z is the set...