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Hanoi5

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[hv=pc=n&s=sakj5haj93d3cj984&n=s932h72dakqt98ca3&d=n&v=0&b=1&a=1dp1hp2dp3nppp]266|200[/hv]

 

You receive a small club lead. You play low from the table and East wins the Queen and promptly returns the K. What would you play now?

 

Let's say you continued with a heart to the 9 and 10 and West returned a diamond. On the third diamond West discards a club, how would you plan to make at this point?

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Assuming IMP's

 

After the A, I take the AK. If the Q or 10 doesn't pop, I test diamonds. When they fail, I lead a spade towards the hand. Even with Q10xx behind me, I still have the chance that LHO holds KQ(x..) or two hearts only with the king or queen.

 

As it came: I have to find two discards, which is annoying. Not going into the math, I discard two hearts, and play spades from the top, hoping for a 3-3 split, or the drop of the Q or 10.

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I suspect i would play on spades at trick 3. I am not sure if it is better to cash two tops, then test diamonds, and if those don't break lead toward jx in hand, or to take a first round finesse in the suit. The former wins against honor either honor doubleton, or the suit 33.
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I am not sure if it is better to cash two tops, ... or to take a first round finesse in the suit.

 

But I am.

 

Assuming you are not worrying about overtricks, there are no distributions where the finesse gains over cashing the top two, but there are distributions where cashing the top two gains over the finesse.

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Yes, it was imp's. What's the percentage of getting two tricks in hearts by playing small to the 9?

 

41,28% according to J.M. Rudinescos: The dictionary of suit-combinations.

 

Thats for the suit in isolation, assuming two entries to the other hand. (Which would seem rather close to the situation in the problem.) The % migth be alittle higher here, as East is known to have at least five clubs. (You dont know who is long in diamonds, when you choose your play at trick 2.)

 

Getting the book off the shelf, I also checked the percentage on cashing spades and leading towards the jack: 73,82%

 

The last number migth be a little higher too, again because East is known to hold at least five clubs.

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