11. If A & B are any two events, then the true relation is :

(a) P (A ∩B) > P (A) + P (B) – 1

(b) P (A ∩B) < P (A) + P (B)

(c) P (A ∩ B) = P (A) + P (B) − P (A ∪ B)

(d) none of these

12. A purse contains 4 copper coins & 3 silver coins, the second purse contains 6 copper coins & 2 silver coins. If a coin is drawn out of any purse, then the probability that it is a copper coin, is :

(a) 4/7

(b) 3/4

(c) 37/56

(d) none of these

13. If A & B are any two events, then the probability that exactly one of them occur is :

(a) P (A) + P (B) – P (A ∩B)

(b) P (A) + P (B) – 2 P (A ∩B)

(c) P (A) + P (B) – P (A ∪B)

(d) P (A) + P (B) – 2 P (A ∪B)

14. If A & B are two mutually exclusive events, then P (A + B) =

(a) P (A) + P (B) – P (AB)

(b) P (A) – P (B)

(c) P (A) + P (B)

(d) P (A) + P (B) + P (AB)

15. The probability of happening atleast one of the events A & B is 0.6. If the events A & B happens simultaneously with the probability 0.2, then

(a) 0.4

(b) 0.8

(c) 1.2

(d) none of these

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