The math behind quads.

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lukeellul92

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Okay, so I've been having a discussion with a friend and I'm not sure if my math is %100 correct here.

Say the flop comes out "777", and you're heads up against the villain. (Full ring or 6 max doesn't matter).
What's the chances he has the other 7?

I'm im not wrong the math says there's 47 cards we haven't seen and 2 in his hand so 2/47 or 4.3%?
Is this the correct way to look at this scenario?

For a full ring it would be 16/47? (8 players 2 cards each and then us)?
This is for NLHE. I understand it's different for PLO etc
 
LD1977

LD1977

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Yes assuming people play any two cards (which they don't).
 
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cursed989

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Yes assuming people play any two cards (which they don't).

Yeah, from there you can apply ranges and chop it down sometimes to an extent, but that can also just end up skewing the true results.
 
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rhombus

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Okay, so I've been having a discussion with a friend and I'm not sure if my math is %100 correct here.

Say the flop comes out "777", and you're heads up against the villain. (Full ring or 6 max doesn't matter).
What's the chances he has the other 7?

I'm im not wrong the math says there's 47 cards we haven't seen and 2 in his hand so 2/47 or 4.3%?
Is this the correct way to look at this scenario?

For a full ring it would be 16/47? (8 players 2 cards each and then us)?
This is for NLHE. I understand it's different for PLO etc
only way its different for PLO is you have 4 cards each so 4/45 about 9%
 
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