Your welcome.
I know the odds are a little confusing at first, especially when you look at the total possible boxed combinations versus the total straights. Think of it this way:
120 Nomatch Boxed combos each play 6 ways (120 x 6 = 720 Total straight)
90 DoubleDigit Boxed combos each play 3 ways (90 x 3 = 270 Total straight)
10 Triples only played one way each (10 x 1 = 10 Total straight)
120 + 90 + 10 = 220 Boxed (Note: You can't play Triples Boxed)
720 + 270 + 10 = 1000 Straight Combinations
If you were to play 321 boxed then any of the following 6 numbers could be drawn to make you a winner: 321, 312, 213, 231, 123, 132.
If you were to look at a list of all the Nomatch numbers in boxed form- there would be 120 of them. Those 120 would in turn represent 720 straight numbers on the list of 1000. Understand that there is no guarantee that a no match number is going to be drawn!.....So the odds would never be 1 in 120. There is still 90 boxed doubles (270 straight ) and 10 triples that could be drawn instead. When figuring the odds you must account for all the total possibilities.
By the way,
If you were to play 321 boxed continuously you most likely wouldn't win an average of once every 167 games. Unfortunately the lottery doesn't work like that. Here's the harsh reality (mathematical fact!): If you play the same nomatch boxed combination every game, you will have to play it for 116 consecutive games in order to have a 50% chance of winning on it! After the first 116 games is over the next 116 games is a second 50% chance, and so on and so forth! The consecutive 50% chances can never be added to equal 100%. Its like flipping quarters and guessing heads or tails! How many heads can you flip in a row???
Hope this helps and doesnt discourage you from from trying to win,
Scott