2. A bag contains n balls numbered from 1 to n, with n > 2. There are n x (n - 1)ways in which Julio can remove one ball from the bag and then remove a second ball.This is because there are n possible choices for the first ball and then n 1 possiblechoices for the second ball. For example, when a bag contains 6 balls numbered from1 to 6, 4 of which are black and 2 of which are gold, there are 6 x 5 = 30 ways inwhich he can remove two balls in this way, and 4 x3 12 ways in which both ballsare black.(a) A bag contains 11 balls numbered from 1 to 11, 7 of which are black and 4of which are gold. Julio removes two balls as described above. What is theprobability that both balls are black?(b) For some integer g 22, a second bag contains 6 black balls and 9 gold balls:the balls are numbered from 1 to g +6. Julio removes two balls as describedabove. The probability that both balls are black is g. Determine the value of g.() For some integer 1 2 2. a third bag contains 2x black balls and a gold balls; theballs are numbered from 1 to 3. Julio removes two balls as described above,The probability that both balls are black is T. Determine the value of r.(a) For some integer r3, a fourth bag contains 10 black balls, 18 gold balls, andr red balls: the balls are numbered from 1 to r + 28. This time, Julio drawsthree balls one after another. The probability that two of these three balls areblack and one of these three balls is gold is at least What is the largestpossible value or ?1/3000​