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Old 08-23-2007, 04:47 AM
Buzz Buzz is offline
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Join Date: Sep 2002
Location: L.A.
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Default Re: credit for nut full house v. credit for quads

[ QUOTE ]
am I wrong to think that people are more willing to give credit for the nut full in 1) than they are for quads in 2)?

[/ QUOTE ]Pete - I have no idea what people are willing to give more credit.

When you hold QJT9, fewer full houses are possible for your opponents than when you hold QQT9. Very crudely (but the first approximation) there are 6 two card combos available for an opponent to make both J7 and J3 when you hold QQT9, but only 3 two-card combos available for both J7 and J3 when you hold QJT9.

And that is the significant difference.

When the board is paired, from the perspective of someone standing on the rail who cannot see your hand, there are always six possible different full houses and one quads.

For example, when the board is JJQ73, the pertinent two card combos (from the perspective of someone who can only see the board) are<ul type="square">JJXY (makes quads)
QQXY, (makes overboat)
QJXY, (makes boat)
J7XY, (makes boat)
J3XY, (makes boat)
77XY, (makes underboat)and
33XY. (makes underboat)[/list]
When you hold QQT9, the QQXY over boat is impossible. When you hold QJT9, quad jacks is impossible.

When you hold QQT9, there are roughly twice as many ways an opponent can have J7XY as when you hold QJT9. Same for J3T9.

For a flop of JJQ73, you're obviously less likely to encounter quad jacks when you hold QJT9 as when you hold QQT9. But you're also equally more likely to encounter QQXY (higher full house). This is more or less a wash, depending on how your opponents think about these matters (and I have no clue what your opponents are thinking). In other words, if someone is going to raise with any full house, that's different from someone raising with only overboats or quads.

I suspect you get more raises from uninformed (or stupid) opponents when you hold QQT9 than when you hold QJT9. That's because more full houses are possible. (We're talking about a board of JJQ73).

Does it matter? In one case when you bet, you can be beaten by quad jacks. In the other case, you can be beaten by a higher full house. Either is equally likely (in each case).

Buzz
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