If `a=1/2` and `b=3/4` then find `a-b/a+b`

If a=2 and b=3, then find the values of each of the following: (i) a^a+b^b (ii) a^b+b^a (iii) a^b (a/b)^a (iv) (1/a+1/b)^a

If A= [-4 , 1 ) and B =[ 0,3), then find A cap B .

If a+ b = 4 and ab =3 , find (1)/(b^(2)) + (1)/(a^(2))

If A and B are events such that P(A)=1/2, P(B)=1/3 and P(A cap B)=1/4 , then find (a) P(A/B) (b) P(B/A)

If A and B are events such that P(A) = 1/2 , P(B) = 1/3 and P(A cap B) = 1/4 then find P(A |B)

(i) If 3A = 4B = 6C , find : A : B : C . (ii) If 2a = 3b and 4b = 5c , find: a : c .

If a+b+c=0 and a^2+b^2+c^2=1, then (a) a b+b c+c a=1/2 (b) a b+b c+c a=-1/2 (c) a^4+b^4+c^4=1/2 (d) a^4+b^4+c^4=3/2

If A and B are two events such P(A)=1/2,P(B)=1/3and P(AcapB)=1/4 ,then find (i) P(A/B). (ii) P(B/A). (iii) P(A'/B). (iv) P(A'/B').

If A={1,4} and B={2,3,4} , then evaluate AxxB .

If A = {1,3,5,7,9} and B = {1,2,3,4,5} then find A cup B and A cap B .