I'm trying to get the probability of pairing only one hole card on the flop. According to this calculator,
the probability is 0.269387755
How do I get that number ^^
The formulas I have found online give me slightly different results.
-- this result is for a pair or better I believe and I only want a pair, not better (6/50) + (6/49) + (6/48) = 0.36744897959184
-- chance of one not pairing * chance of one pairing -- ((44/50) * (43/49) * (42/48)) * ((6/50) + (6/49) + (6/48)) = 0.24829052478134 -- close but still off.
-- first card pairs, second two cards miss -- I believe the *3 is to ignore the order of the flop ((6/50) * (44/49) * (43/48)) * 3 = 0.28959183673469 -- again, close but off
These are all I could really find online, any ideas what's wrong here? By "what's wrong", I mean why do none of these three calculations equal the probability listed on the website?