Thank you for pointing out the errors that I made in the original post. This will explain the attempted methodology; I am simply trying to identify situations when the ratio of 10's to all cards is equal to or greater than 1 to 3. With 1.5 decks remaining, 26 of the remaining 78 cards need to be 10's, this yields the decimal equivalent of .333. With 1 deck remaining, 18 of the remaining 52 cards need to be 10's, this yields a decimal equivalent of .346. With .5 decks remaining, 9 of the remaining 26 cards need to be 10's, this also yields a decimal equivalent of .346. Hopefully, the following table corrects my previous mistakes.
Running Count 0 +1 +2 +3 +4 +5 +6
1.5 decks 6 5 4 3 2 1 0
1.0 deck 7 6 5 4 3 2 1
.5 decks 7 6 5 4 3 2 1
Again, the numbers in the table indicate the minimum number of aces that need to be counted at various penetrations to make insurance profitable. Thank you for your time and patience.
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