If you have 2 different cards, to get trips we determine the chance of pairing one of our cards on the first card (6 cards will give us a pair) and multiply that to the chance of a card of the same value coming in the next 2 cards:
(6/50)*[1- (47/49)*(46/48)]= 0.00972
Add this to the chance of the first card not pairing one of our cards to the chance of the next card pairing one of our cards and the last filling the set.
44/50 x 6/49 x 2/48 = 0.00449
0.00449 + 0.00972 = 0.0142 or 1.4%

To convert this to odds, we subtract the probability of it occuring from 1 to get the probability of it not occuring (1- 0.0142 = 0.9858)
so our odds are 0.9858 : 0.0142 or 69:1