Problem 1 Suppose S is an outcome space, then which of the following sets are valid event spaces? If they are not a valid event space or o-algebra, find the o-algebra generated by these sets. (a) {os). (b) {o. S, A } for some A C S. (c) {o, S, Al, A2, A] U Az), where A1, A2 C S such that Aj n A, = 0. (d) {o, S, Al, A2, Af, A5, Al \\ Az}, where A2 C A, CS