Seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Find the probability that

  1. 3 red, 2 blue, and 2 green balls are withdrawn;
  2. at least 2 red balls are withdrawn;
  3. all withdrawn balls are the same color;
  4. either exactly 3 red balls or exactly 3 blue balls are withdrawn.