Posted 2008-March-16, 11:34
Here's what I get. There are some things that are unclear about what Whereagles asked, so I will clarify with my assumptions after listing results. This is over one million random hands.
Balanced 12-14: 97,007
Balanced 12-14 that open 1C Natural: 42,114
Balanced 18-19: 13,245
Balanced 18-19 that open 1C Natural: 5,895
Balanced 20+: 7,751
Unbalanced Natural 1C with 11-20: 52,060
Unbalanced 21+: 3,597
One Suited 18-20 NOT CLUBS: 5,008
Option A: 171,318
Option B: 116,425
Option C: 160,415
Option D: 105,522
I've made the following assumptions:
(1) Balanced hands are hands with no singleton/void and at most one doubleton. This includes all 5332 patterns (even those with a 5cM) and excludes all 4225/6223 patterns.
(2) Balanced hands that open 1C natural are those where there is no five-card major, at least as many clubs as diamonds, and not 4-4 in the minors.
(3) Similarly, 4441 hands except for 4-4-1-4 exactly are assumed to open 1D.
(4) I am always assuming first seat, so not conditioning on opponents not having opened etc.
(5) One-suited hands are defined as those with a 6+ card suit, where every other suit is at least two cards shorter. So I have included 6421 and 7501 for example as "one-suited" hands.
Adam W. Meyerson
a.k.a. Appeal Without Merit