Part (a) Black is on roll. Cube action? (Unlimited, Jacoby, center cube)
Over the board, I would be cautious about cubing this. When it is posed as a problem, however, I can take the time to review all of Black’s rolls. The following lists my not-too-deeply considered choices.
11 – 24/23*/22, 6/5(2) [market loser]
12 – 24/23*, 15/13 [possible market loser]
13 – 24/23*, 9/6 (see below)
14 – 24/23*, 15/11 (or else make the 5pt) [possible market loser]
15 – 24/23*, 15/10 (otherwise, 24/23*/18) [possible market loser]
16 – 24/23*, 15/9 [likely market loser]
22 – 6/2*(2) [likely market loser]
23 – 15/10
24 – 15/9
25 – 15/10, 9/6
26 – 24/22, 15/9
33 – 8/5(2), 6/3(2) [likely market loser]
34 – 15/8
35 – 15/7
36 – 24/15
44 – 15/7, 6/2*(2) (otherwise, 7/2(2), 6/2*(2)) [likely market loser]
45 – 7/2*, 6/2
46 – 8/2*, 6/2
55 – 8/3(2), 7/2*(2) [likely market loser]
56 – 24/13
66 – 24/18, 15/9, 8/2*(2) [likely market loser]
A good decision tree for determining cube action begins with the take. Can White take here?
- If he cannot, then it’s either too good, or an easy double.
- Is the take close? If it is, then Woolsey’s Law tells us to double.
- Is it in between? If so, double.
Only when the take is easy, must you consider the double. Strong doubles, of course, are doubles. When the decision to double is close, however, in a game involving contact, then you should start counting market losers. John O’Hagen suggests (with many exceptions) that when at least 25% of your rolls are market losers, you should cube.
In this problem, the take seems trivial. White has the better board, an anchor, and is not primed. Conversely, the double seems small, if one exists at all. In this case, I have generously granted market-losing status to as many rolls as possible above. There may be just enough of them to eke out a small double.
My solution:
Double, Take
Parts (b) and (c) Black to Play 3-1
As they say, “The five point is the five point.” In part, because of the QF (quiz factor), I am tempted to make the 5pt, and be done. It’s the DMP play, and may well be best for money.
Over the board, however, I would start by looking at the hit. But it is not automatic. After moving 24/23*, good 3s are hard to find. Fearful that breaking the midpoint leaves too many returns, I would probably decide 9/6 was the best of a bad lot. At least it duplicates 3 and 4, White’s two escape numbers. Slotting into a triple shot, 6/3, is hardly an option.
What about the quiet play, 13/9? It makes a broken 5-point prime, certainly a plus, but does so at the expense of sacrificing the initiative. Unhindererd, White would have 1s, 3s and 5s to hit, 3s and 4s to escape, and 4s and 6s to cover. Because White has both an anchor and a blot in Black’s inner board, the broken 5-prime is less efficient than usual. That is because White has two escape numbers on every throw, rather than one.
A much better passive play is simply to safety the checker in White’s outer board, playing 15/11. The resulting position gives White 7, 8, 9 and 10 as hitting numbers, but only a small number of throws hit. Specifically, the hitting rolls are 16, 34, 44, 36 and 46, giving 9 shots in all. Of course, if he misses, White may attack the blot on the other side when he rolls a combination totaling 1, 5, 7 or 12. So, any 1 or 5 (22 shots), plus 34, 66, 44, and 33 could be used to hit on Black’s 24pt. In practice, White won’t hit on the 24pt when he rolls 33, 34, and 44, but there are still a load of 1s and 5s where he will.
No alternative is outstanding. I’ll make the 5pt at DMP, and hit when gammons matter.
My solution in Part (b):
8/5, 6/5 — at DMP
My solution in Part (c):
24/23*, 9/6 — when gammons matter
For the Record
I am so often wrong that I like to post my record in these messages. It's kind of a truth-in-advertising thing.
Grunch: I have been answering these problems without the use of a bot, and before checking the excellent solutions of others, since Problem 28. My record at this writing is 51%.
Last edited by Taper_Mike; 01-01-2012 at 06:18 PM.