If `(p+1/p) =5` then find the value `(p-1/p)^2`

If p + 1/( p + 2 ) = 3 , find the value of ( p + 2 )^3 + 1/( p + 2 )^3

If P(A) = 2/3, P(B) = 4/9 " and " P(AcapB)=4/5, then find the value of P(AcupB) " and " P(A'capB') .

Three events A, B and C have probalities 2/5,1/3 and 1/2 , respectively. If, P(AcapC)=1/5and P(BcapC)=1/4 , then find the values of P(C/B) and P(A'capC')

If a point A(0,\ 2) is equidistant from the points B(3,\ p) and C(p ,\ 5) , then find the value of p .

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 A and B are events of a random experiment such that P(AnnB)=4/5P(A'nnB')=7/10 and P(B)=2/5 , then find the value of P(A).

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

Let A and B be any two events such that P(A) = (1)/(2) and P(B) = (1)/(3) . Then find the value of P(A' nn B')' + P(A' uu B')' .

The random variable X can take only the values 0, 1, 2. Given that P(X=0) = P(X= 1) = p and E(X^2) = E(X) , then find the value of p