Tiger presented the case of a rebet score that looked like this:
1 2 3 4 5 6 7 8 4 3 3 3 3 3 3 3 (Miami scoreboard style)
This raised the question of which, if any, trifecta numbers would
then be impossible.
Well, we could start by looking at the usual scum-sucking bottom
dwellers: 786, 345, 356, 781, 486, 756, 586, 367, 867, 768, 478,
468, 465, 456, 487, 568, 476, 567, 467, 576, 687, 587, 678, 578,
listed in order of increasng badness.
For these numbers to occur, the key posts need to start "achieving
separation" right away. But in Tiger's example, they are
all in the origional position. Therefore, they are all good candidates
for being impossible.
But it turns out that there is a Stupid Simulator Trick that makes
it all very easy. A Spectacular 7 scoreline of:
1 2 3 4 5 6 7 8 2 1 1 1 1 1 1 1
would be the equivalent to the Superfecta scenario above.
So by simply modifying the starting scores as shown, and doing
a very large run, you can quickly find out which trifecta numbers
refuse to occur.
The results are interesting, to say the least, and include a DOA
status for the commom number, 431. Also the entire 87* family
gets wiped out, meaning no 87 exacta.
This technique (rebet super scoreline converted to Spec 7) only
works if all the teams have 2 or more points.
