# Probability – 1 – 3

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

Explanation
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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

Explanation
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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)

Explanation
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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)

Explanation
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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