Two integers `xa n dy` are chosen with replacement out of the set `{0,1,,2,3 ,.....10}dot` Then find the probability that `|x-y|> 5.`

Two integers x and y are chosen with replacement out of the set {0, 1, 2, . . . 10}. The probability that |x - y| doesn't exceed 5 is

Two natural numbers x and y are chosen at random from the set {1,2,3,4,...3n} . find the probability that x^2-y^2 is divisible by 3.

Two numbers b\ a n d\ c are chosen at random with replacement from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9. Find the probability that x^2+b x+c >0\ for\ a l l\ x in Rdot

If two distinct numbers m and n are chosen at random form the set {1, 2, 3, …, 100}, then find the probability that 2^(m) + 2^(n) + 1 is divisible by 3.

Two numbers x and y are chosen at random (without replacement) from among the numbers 1,2,3,2004. The probability that x^3+y^3 is divisible by 3 is (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/4

Two numbers a and b are chosen at random from the set {1,2,3,4, . . .,0} with replacement. The probability that the equation x^(2)+sqrt(2)(a-b)x+b=0 has

Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. The probability that a^(3)+b^(3) is divisible by 3, is

Two distinct integers x and y are chosen, without replacement, at random from the set { x , y | 0 le x le 10 , 0 le y le 10 , x and y are in integers} the probability that |x - y| le 5 is :

Two numbers a and b are selected successively without replacement in that order from the integers 1 to 10.The probability that a/b is an integer, is

Three numbers are chosen at random without replacement from {1,2,3,....10}. The probability that the minimum of the chosen number is 3 or their maximum is 7 , is: