i've been playing a bit of 7stud today, and twice i was lucky enough to start with 3 of a kind...both times i played it fairly slow trying to extract as much value as i could, and both times i made a fullhouse, once on 5th and once on the river...anyway, long story short i was wondering what the odds of making a FH (or Quads) from 3 of a kind...could someone confirm if this is correct:

4th
1/49 or 2%

5th
4/48 or 8.3%

6th
7/47 or 14.9%

7th
10/46 or 21.7%

(obviously this only takes account of your hand, not the other players)

making a total of 47%...meaning you're slightly more likely not to improve?

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I love him who is ashamed when the dice fall in his favour and who then asks: Am I then a cheat? for he wants to perish.