moraine said:
Mind You: KNOWING 2-2 vs. 8, 3-3 vs. 8, 9-9 v. A, A-A vs. A, etc., in addition to 7-7 vs. 8 also has "IMMESURABLE VALUE" beyond immediate financial gain ONCE YOU REALIZE "Illustrious 18" are 18 ILLUSTRIOUS telltale signs to casinos as well.
First thing first, I made a mistake on the hand frequency for 7,7 vs 8 in 6 decks. The 0.00044414 I gave was for 8 decks. This particular hand frequency for the 6 decks shoe game is worse at 0.00044043 and the final result should be that you will see this hand about once every 26098 hands or once in about 261 hours of play (no real difference from the previous result).
For the hands you mention, the frequencies are the same (0.00044043) but the TC you need are higher thus making them even more rare... You need +4 or more (5.21%) to split 3,3 vs 8 and +5 or more (2.77%)to split 2,2 vs 8.
Make the calculations and you get:
7,7 vs 8 = Once every 26098 hands (once every 261 hours of play)
3,3 vs 8 = Once every 43580 hands (once every 436 hours of play)
2,2 vs 8 = Once every 81968 hands (once every 820 hours of play)
All in all, if you play 500 hours/year (most people really don't) you will get to lay your "show" for the pitboss about 7-8 times IN TWO YEARS or about 4 times per year.
Sorry, but no matter how you want to present your approach/estimation, the fact remain:
You are splitting hairs.