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We
talked about the pivot point in Chapter 3, and briefly again
in Chapter 6. Recall that when the running count is at the
pivot point, we have good information regarding our actual
expectation. Stated another way, unbalanced systems such
as K-O are constructed so the pivot point coincides with
a known player advantage. As such, it serves as a reliable
reference to correlate our betting with our advantage.
Assume we're playing a 2-deck game, and that after one half
of a deck (26 cards) is dealt out the running count is +4
(instead of the expected average value of-2; see figure
4, pg. 67). What would an equivalent true count be? Well,
the excess count is +4 - (-2) = +6. That is, we are +6 above
where we expect to be, on average.
The number of decks remaining is 1.5. Therefore, the true
count is +6/1.5 = +4. So you see, at the pivot point of
+4, the K-O running count is always exactly equal to a K-O
true count of +4. This relationship holds true regardless
of the number of decks in play or the number of cards already
dealt out, so long as the Knock-Out IRC is calculated as
prescribed.
What does this gain for us as practitioners of the K-O system?
Well, it means that when we have a running count of +4,
we have a very good idea of where we stand because we know,
to a high degree of certainty, the expectation at a true
count of +4. Remember that the true count is an accurate
measure of the prevailing expectation. So when the K-O running
count is at the pivot point of +4, we have good information
about our expectation, regardless of how many cards remain
to be played.
Then, based on a change in expectation of about +0.55% per
unit of true count (roughly the High-Low equivalent), we
find that whenever our Knock-Out RC is at the pivot point
of +4, our expectation is approximately 4 x 0.55% = 2.2%
above the starting basic strategy expectation. For a 6-deck
game with standard rules, for example, our expectation at
the pivot is nearly +1.8%, after accounting for the basic
strategy expectation of about -0.4%
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