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4. Suppose that we have a sample space S = E1, E2, Es, Es, Es where E denotes the sample points. Following probability assignments apply: P(E,) = 0.05, P(E2) = 0.15, P(E3) = 0.2, P(E,) = 0.25, P(E,) = 0.3. a. Does the above assignment of probability make sense to you? And if not then why? b. Ignoring the errors (if any) what is P(AUB) if A = { E1, Es} and B = {El, Es}