Q1(a). State the axioms of probability theory. Q1(b). Using the axioms, show that if E C F, then P(E)

QI(a). State the axioms of probability theory. QI(b). Using the axioms, show that if E C F, then QI(c) Let A and B be two events. Show that P(AC n W) 1 - P(A) - PfB) + nB). QI(d) Suppose that A, B and C are mutually independent events such that P(A) - 1/4, P(B) 1/3? P(C) 1/2. (i.) Determine the probability that none of these three events occur. (ii)Find the probability that exactly one of these three events will occur