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Answer 1: Lower case "o" (Matt's choice) describes the move played in the after-position (right-hand diagram) whether hitting or not (though it seems unlikely one would play such a move otherwise). By the most-points convention, the play making or retaining the most points gets the capital letter. That is, O = 13/10(2) 8/5(2), and o = 13/7 8/5(2), the latter move in this case incidentally hitting.
O (or o) stands for "Outer" and can be applied to any roll, doublet or non-doublet. Half the play is moved into (or within) the Outer board, and half the play is moved out of the Outer board.
Answer 2: "Assumption" (short for assumptive Nactation, see Section 6 of the tutorial) can generally be applied to hitting or other obvious portion of a move. Blue should hit on the 7pt, so you can use "5" (Ken's choice) to describe the entire move shown in the right-hand diagram. This is less bulletproof but more than adequate for the context and probably the more commonly recognized Nactation.
Answer 3: "P" is acceptable. The logic is that hitting is assumed, then by 6pt convention make the point closest to the 6pt (equidistance tie goes to the lower point). Lower-case "p" applies to hitting and making (covering) the 7pt. This is tricky because under my current rules if hitting or some forced/obvious portion is not part of a play, capital P reverts to a play where the entire move is devoted to making the point.
As knowledge of assumption and equidistance tie are both required, nowadays I usually avoid using P/p for complex cases (and for computer file names, in most operating systems, there is the further problem of case insensitivity.)
The left-hand diagram is repeated below, followed by some double 3s moves that might be played in this position or similar ones.
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| 63S-33 | |
O = 13/10(2) 8/5(2)
o or 5 or P = 13/7*(2) 8/5(2)
N = 13/10(2) 6/3(2)
n or 3 or P = 13/7* 6/3(2)
B = 24/21(2) 13/10(2)
b = 24/21(2) 13/7*
B = 24/18 13/10(2)
E = 24/21(2) 6/3(2)
e = 24/18 6/3(2)
C = 24/21(2) 8/5(2)
c = 24/18 8/5(2)
Regarding the strength of the moves: For money (and dmp), 7 is standard and best. At gammon save, B and E seem to be reasonable plays (though I haven't yet rolled them out). At gammon go, 5 (the move you asked about) is best.
Nack