Given that `(p - 3)^(2) - 5 = 0`, what is p?

Given that P(A) = 1//3, P(B) = 3//4 and P(A uu B) = 11//12 then what is P(B//A) ?

Suppose S={1,2,3,4,5} is the sample space of a random experiment. Given that P(1)=0.2 , P(2)=0.3 , P(3)=0.3 , P(4)=0.1 , find P(5) such that P is a probability function.

Given that the events A and B are such that P(A)=(1)/(2)," and "P(A cupB)=(3)/(5)P(B)=P . Find P if they are independent.

Given that the events A and B are such that P(A)=1/2, P(AnnB) =3/5 and P(B) =P.Find p if they are independent.

Given that the events A and B are such that P(A) = 1/2, P(AcupB)=3/5 and P(B) = p .Find p if they are independent.

Given that P(A)=0.5 , P(B)=0.6 , P(AbigcapB)=0.3 Find P(A') , P(AbigcupB) , P(A'bigcapB') and P(A'bigcupB') .