The probability of flopping a set in holdem
I was just trying to work out the probability of flopping a set on the flop in texas holdem but don't know if its exactly. I'm assuming only a set and not four of a kind.
P(Flopping a Set)=[(2/50)*(48/49)*(47/48)]+[(48/50)*(2/49)*(47/48)]+[(48/50)*(47/49)*(2/48)]
= 0.11510204 or about odds of 8.688:1
Does that seem correct?
what about after the river?
What about hiting a set after the final fifth card?
In other words if I go all in preflop with a pocket pair . . . what are my chances of hitting my set after all cards are on the table?