If X and Y are independent binomial variates, B(5,1/2) and B(7,1/2), then P(X + Y =3) is

If the events A and B are independent if P (A ) = (2)/(3) and P (B ) = (2)/(7) then P (A nn B) is equal to :

If A and B are two independent events such that P(A)=(1)/(2) and P(B)=(1)/(5) then which of the following is correct ?

If the events A and B are independent if P(A')=2/3 and P(B')=2/7 , then P(A nn B) is equal to

If P(x, y) is a point equidistant from the points A(6, -1) and B(2, 3), show that x-y = 3.

Statement-1 If A is any event and P(B)=1 , then A and B are independent Statement-2 P(AcapB)=P(A)cdotP(B), if A and B are independent

If the distance between P (x, y) from A (5, 1) and B (-1,5) are equal, show that 3x = 2y.

Suppose X has a binomial distribution B(6, (1)/(2)) . Show that X = 3 is the most likely outcome. (Hint: P(X = 3) is the maximum among all P(x_(1)), x_(1)= 0,1,2,3,4,5,6 )

Let X and Y be two events such that : P(X//Y)=1/2,P(Y//X)=1/3 and P(X cap Y) = 1/6 . Which of the following is (are) correct ?

If the line (x)/(a)+(y)/(b)=1 passes through the points (2,-3) and (4,-5), then (a, b) is

Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not A or not B)"=(1)/(4) . State whether A and B are independent ?