5
$\begingroup$

I've got two questions:

What’s the probability that someone else has a flush, given that you have a flush?

Notes: - there are four people at the table - we don't know anything about the kind of flush. all five cards could be out in front

If you have a flush, what’s the probability that someone has a better flush?

Both of these seem of quite a bit more complexity than any of the other such questions form I have done.

  • 0
    If this is about Texas Hold'em then you should say so in the question.2012-01-25
  • 2
    It depends, how you phrase the question. If we are talking about Texas Hold'em which I assume we are. Even then what do you mean flush? Do you mean you have two spades and there are three spades on the board. Do you mean you have 1 spade and there is 4 spades on the board? This makes a big difference. Especially to your second question about probability someone has a better flush.2012-01-25
  • 0
    @simplicity, it sounds like the question is saying that all you know about your hand is that it is a flush. So it looks like you'd have to compute separate probabilities for all the cases of board/hand combinations. It seems like it'll be a lot of terms, but wont be too complicated.2012-01-25
  • 0
    This seems like the kind of question that is better suited to monte carlo approximation than it is to direct computation.2012-07-30

1 Answers 1