There are 6 ways to get one of a kind (all 1's, all 2's, all 3's, all 4's, all 5's or all 6's). The probability of getting all of any kind is then caclulated by adding the probability of getting all 1's, all 2's, all 3's, all 4's, all 5's or all 6's. Since, probabilities of getting all 1's through all 6's are the same, we can multiply them all ...