From the given diagram find :
(i) A∪B(ii) A′∩B(iii) A−B(iv) B−A(v) (A∪B)′
For any two sets A and B, prove that
(i) (A∪B)−B=A−B
(ii) A−(A∩B)=A−B
(iii) A−(A−B)=A∩B
(iv) A∪(B−A)=A∪B
(v) (A−B)∪(A∩B)=A
If A and B are mutually exclusive events such that P(A = 0.35 and P(B=0.45, find
(i) P(A∪B)
(ii) P(A∩B)
(iii) P(A∩¯¯¯¯B)
(iv) P(¯¯¯¯A∩¯¯¯¯B)
If A={x:xϵM, x is a factor of 6}={1,2,3,6} and B={x:xϵN, x is a factor of 8} = {1,2,4,8}. Then find:
(i) A∪B
(ii) A∩B
(iii) A−B
(iv) B−A