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21$-65R-54P-31U-54

Posted By: Nack Ballard
Date: Thursday, 7 January 2010, at 11:53 p.m.

In Response To: Early 54 to play (Leonardo Jerkovic)

21$-65R-54P-31U, 54 or 63153


2O ' ' ' '5X '3X ' ' '4O

2O ' '1X '3O '3O ' '1O6X

Blue to play 54 or 63155

Position ID: g3PkATDgc/ADBA Match ID: MAEAAAAAAAAA

Your position (above), 21$-65R-54P-31U-54 looks similar to 21$-65R-52P-21U-54 that I looked at once, shown below. The difference is that Black owns his 3pt instead of 1pt, and his 8pt spare is stacked on the 6pt.

In the 3pt position, H (Hit, 13/4*) is a blowout over S (Split, 24/20 13/8). The splitting candidates of both positions reach a three-on-8pt four-on-6pt distribution, so the only difference (other than the minor one of 3pt vs 1pt) is that White has a 7 shot. That's substantial but I doubt it's enough to reverse a blowout lead, so I'll go with H (Hit, 13/4*) in your position, too.

As a sidelight, the other situation I had looked at with the one below (first, actually) was 21$-65R-52P-21U-63 (same position, different roll). H (Hit, 13/4*) is better than P (make 5pt), but it was close enough to do a trunc rollout at the time -- differnce of maybe .03 or .04.

I assume, with 21$-65R-54P-31U-63 (your position, different roll), it's better to make the 5pt because of the distribution -- mainly it doesn't leave a 4 shot!

That takes care of a little 2 x 2 box:

21$-65R-54P-31U-54 (H, I think) ... 21$-65R-54P-31U-63 (H by a lot?)
21$-65R-52P-21U-54 (H by a lot)... 21$-65R-52P-21U-63 (P, clear)

Nack

21$-65R-52P-21U, 54 or 63153


2O ' ' ' '5X '3X ' ' '4O

 ' '2O1X '4O '2O ' '1O6X

Blue to play 54 or 63157

Position ID: jGfkATDgc/ADBA Match ID: MAEAAAAAAAAA

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