2

What are the odds of getting quadded when you have the highest full house on the table? I would reckon it's very rare, but I have done it once to an opponent.

2 Answers 2

2

I have seen it on TV a few times

Based on hand independent it is 0.000256 (quad) * 0.0017 (boat) = 0.00000044

From the boat there are 45 cards out and need to match the pair on the board
So the odds of getting quadded are:
(2/2) / (45/2) = 0.00101 = 0.1%
Which also = 2/45 * 1/44

Highest or lower boat is immaterial. Quads beat a full house.

2
  • What about a board like AKKKx and you hold an ace? The risk of someone holding a K is much higher than that.
    – J.-E. Pin
    Commented Mar 26, 2016 at 19:11
  • @J.-E.Pin OK, what about a board like AKKKx? You are welcome to run those numbers. I just don't think OP would have asked the question in that manner if the board tripped. A lone ace would not be the highest full house on that table.
    – paparazzo
    Commented Mar 26, 2016 at 19:39
-3

There’s zero chance of quads if u have “the better” full house. Meaning queens full of 3s. Vs 3s full of queens. The boat 3s full of queens can b beat by quads

1
  • Just a comment here to highlight this is incorrect. A player could have something like pocket kings, vs pocket 3s with a board of K33XX. To say there is a zero chance of quads against a full house is totally incorrect.
    – Grinch91
    Commented Nov 8, 2023 at 9:54

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.