A jar has 10 red candies and 10 blue candies. Terry picks two candies at random, then Mary picks two of the remaining candies at random. Given that the probability that they get the same color combination, irrespective of order, is \(m/n,\) where \(m\) and \(n\) are relatively prime positive integers, find \(m+n.\)

(第二十二届AIME2 2004 第2题)