Suppose E, E2 and E3 be three mutually exclusive events such that P(E)= pi for i=1,...

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Suppose E, E2 and E3 be three mutually exclusive events such that P(E)= pi for i=1, 2, 3. 61. If p, p2 and p 3 are the roots of P2 3 27x - 27x + ax -1 = 0, the value of a is (a) 3 (b) 6 (c) 9 62. P (none of E, E2, E3) equals (a) 0 (b) p + P + P3 (c) (1P) (1 P) (1 - P3) (d) None of the above - (d) 12 63. P(E ) + P(E ~3) + P(E3 ~) equals (a) P(1 - P) + P(1 - P3) + P3(1P) (b) P1P2 + P2 P3 + P3P1 (c) P + P2 + P3 (d) None of the above Suppose E, E2 and E3 be three mutually exclusive events such that P(E)= pi for i=1, 2, 3. 61. If p, p2 and p 3 are the roots of P2 3 27x - 27x + ax -1 = 0, the value of a is (a) 3 (b) 6 (c) 9 62. P (none of E, E2, E3) equals (a) 0 (b) p + P + P3 (c) (1P) (1 P) (1 - P3) (d) None of the above - (d) 12 63. P(E ) + P(E ~3) + P(E3 ~) equals (a) P(1 - P) + P(1 - P3) + P3(1P) (b) P1P2 + P2 P3 + P3P1 (c) P + P2 + P3 (d) None of the above

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