Re: what is the probability of any 3 cards on flop?
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Do you mean 3 cards suited? 3 of a kind (e.g., 3 Aces on the flop)? If so, then for suited it woould depend on if you have any of the suited or Aces in the hole.
But general forumla for all 3 desired cards showing up is
P(x) = (# ways an event can occur/total # of events)^3.
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