The numbers 1,2,3,4, .... , 9 are written on each of 9 cards, 3 of the cards are chosen at random.
i) Find the probability that the sum of the three cards is equal to 9.
For this part, I just collected the combination of numbers that yield 9:
1,2,6
1,3,5
1,5,3
1,6,2
2,1,6
2,3,4
2,4,3
2,6,1...