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Five- and six-roll sequences

Posted By: Nack Ballard
Date: Monday, 27 June 2011, at 11:40 p.m.

In Response To: I should be able to figure this out but... (rory)


1O ' '1O '5X2X3X ' '1X4O

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


Got your recent e-mail, Rory (or I would have missed the thread).

There is no well-played fourth roll sequence.

Below are some reasonably well-played five-play sequences (the first and second are really the same), they involve only slight (and common-type) misplays. Far-side player goes first.

    32S-42P-21P-53S-64P
    32S-63H-21P-32E-64P
    32S-54H-21P-32E-64P
    62S-63X-21P-32p-64P

A perfect six-play sequence is:

    64S-32S-52P-61H-31U-51P

Perhaps any one of the three five-play sequences is more likely to have occurred, because Giants do not play perfectly, and adding an extra non-doublet roll (even one for which the play is routine) to the sequence divides the probability by 18.

Nack

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