If G.M of two unequal positive numbers a and b is `(a^(p+1)+b^(p+1))/(a^(p)+b^(p))` , then find the the value of p .

For two mutually exclusive events A and B, P(A)=(1)/(2) and P(A cup B)=(2)/(3) , then the value of P(B) will be

If a,b,c are three unequal numbers such that a,b,c are in A.P. and (b-a) ,. (c-b) ,a are in G.P., then the value of a:b: c is-

If three unequal positive numbers a, b, c are in G.P. then show that, a +c gt 2b .

If P(AnnB)=1/2,P( barA nn barB )=1/3, P(A)=p , P(B)=2p , then find the value of pdot

If P(A)=(2)/(3),P(B)=(1)/(2)" and "P(A capB)=(1)/(2) ,then find the value of P(AcapB^c) .

If P(A)=2/3,P(B)=1/2 and P(AnnB)=1/6 then find the value of P(AnnB^C) .

If A and B are events such that P(A'uuB') = (3)/(4), P(A'nnB') = (1)/(4) and P(A) = (1)/(3) , then find the value of P(A' nn B)

If P(A)=(2)/(3),P(B)=(1)/(2),P(AcapB)=(1)/(6) , then find the value of P(AcapB')andP(AcupB) .

If P(A) = 2/3, P(B) = 1/2 and P(A uu B) = 3/4 then find the value of P(A^C uu B^C) .

If P(A | B) = 1/4 , then what is the value of P(A^C/B) ?