If `X and Y` are independent binomial vatiates `B(5,1/2) and B(7,1/2)` and the value of `P(X+Y=3)` is

X and Y are independent binomial variables. B(5,(1)/(2)) and B(7,(1)/(2)) then P(X + Y =3)= ………

If (x+1, y-2)=(3,1), find the values of x and y.

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 A and B are two independent events such that P(A)= (1)/(2), P(B)= (1)/(5) , then P(A | (A cup B)) = ………

If the point C(-1, 2) divides internally the line segment joining the points A(2,5) and B(x,y)in the ratio 3 : 4 find the value of x^(2) + y^(2) .

If (x/3+1, y-2/3)=(5/3, 1/3) , find the values of x and y.

If x +y =a and x^(2) +y^(2)=b , then the value of (x^(3)+y^(3)) , is

Two dice are tossed. Find whether the following two events A and B are independent : A = {(x, y): x + y = 11} and B = {(x, y): x ne 5} where (x, y) denotes a typical sample point.

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

If the polynomial 7x^(3)+ax+b is divisible by x^(2)-x+1 , find the value of 2a+b.