1.

(a) If A and B be mutualy exclusive events associated with a random experiment such that P(A) = 0.4 and P(B) = 0.5, then find : (i) P(A∪B) (ii) P(¯¯¯¯A∪¯¯¯¯B) (iii) P(¯¯¯¯A∪B) (iv) P(A∪¯¯¯¯B) (b) A and B are two events such that P(A)= 0.54, P(B) = 0.69 and P(A∪B) = 0.35. Find: (i) P(A∪B) (ii) P(¯¯¯¯A∪¯¯¯¯B) (iii) P(A∪¯¯¯¯B) (iv) P(B∪¯¯¯¯A) (c) Fill in the blanks in the following table : P(A) P(B) P(A∩B) P(A∪B) (i) 13 15 115___ (ii) 0.35 ___ 0.25 0.6 (iii) 0.5 0.35 ___ 0.7

Answer»

(a) If A and B be mutualy exclusive events associated with a random experiment such that P(A) = 0.4 and P(B) = 0.5, then find :
(i) P(AB) (ii) P(¯¯¯¯A¯¯¯¯B)

(iii) P(¯¯¯¯AB) (iv) P(A¯¯¯¯B)

(b) A and B are two events such that P(A)= 0.54, P(B) = 0.69 and P(AB) = 0.35. Find:

(i) P(AB) (ii) P(¯¯¯¯A¯¯¯¯B)

(iii) P(A¯¯¯¯B) (iv) P(B¯¯¯¯A)

(c) Fill in the blanks in the following table :

P(A) P(B)

P(AB) P(AB)

(i) 13 15 115___

(ii) 0.35 ___ 0.25 0.6

(iii) 0.5 0.35 ___ 0.7



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