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Give more shots to get more shots?

Posted By: Daniel Murphy
Date: Friday, 30 November 2012, at 1:29 p.m.

In Response To: Give more shots to get more shots? (John O'Hagan)

White's rollImmediate hits after bar/20 15/13Immediate hits after bar/18 bgcolor="black"
6600
5500
652840
642840
542840
441523
3100
2100
6300
6100
5300
5100
4300
4100
3300
6200 (and on the bar)
5200 (and on the bar)
4200 (and on the bar)
3200 (and on the bar)
22112 (and on the bar)
1100 (and on the bar)

On 2/36 numbers, the play doesn't matter.

On 7/36 numbers that blot, bar/18 gains 35/1296 = 2.7% more immediate hits (net increase, counting the loss when White rolls 2-2). This is a huge plus for bar/18.

On 17/36 numbers that clear or safety the outfield blot without hitting, bar/18 gains if Blue rolls a 2 or 1-1 next, playing 20/18, or if Blue does not roll a 2 and White rolls 63 53 43, but loses after no 2 and White rolls 61 51 41 31. My guess is that bar/18 is better in these sequences, but not by much.

On 10/36 numbers, White hits with 62 52 42 32 22 and 11. But only on 2-2 do these sequences lose any immediate hits. For future chances, Blue is a small favorite (55%) to recover from the hit by rolling any 6, especially 6-1 and including 5-1, or any other 5. My rough guess here, then, is that bar/18 is a loser on about half of 10/36 numbers.

Looks like bar/18 should be best, with the immediate gain on 7/36 numbers outweighing the future loss on about half of 10/36 numbers.

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