This is for all the math nerds out there.
I was offered an "EVEN MONEY" prop bet on a live cash game session I played a few days ago.
The bet was as follows:
"Villain selects 3 ranks of cards, say (K,Q,J). If the flop contains any of these, he wins, else I win."
I accepted the bet in the spur of the moment, but I was always skeptical if the odds are actually 50-50.
I really want to know (with proof if possible), what are the odds and how bad was my decision?
Thanks in advance.
EDIT:
My solution:
Since any one of the 12 cards in the deck hitting the flop would in his victory, I calculated my odds as:
(40 / 52) * (39 / 51) * (38 / 50)
= 44.7%
So, is this correct? Are the odds 55.3 : 44.7 in villain's favour?