Blackjack – The Advanced Red Seven “true Edge” Part3
I have used simple examples, which resulted in simple fractions. With very little practice, however, you should have no difficulty estimating your raise in advantage, even when the numbers are not so convenient.
For instance, if you are in an eight-deck game, with a running count of +4, and 3 1/2 decks are remaining to be dealt, you'll know that since 3 1/2 x 2 = 7, your fraction becomes 4/7.
This may be a more complicated calculation, but you should be able to determine in an instant that it's just slightly more than 1/2%. Likewise, with fractions like 5/7 or 6/7, just knowing that your advantage has risen more than 1/2% but less than 1% is all you need for purposes of bet-sizing.
In using this method, always round up to the nearest half-deck when you estimate the remaining decks for your denominator. For instance, if slightly less than five decks have been dealt, and you estimate that about 3 1/4 decks remain, round up to 3 1/2, and your denominator becomes 3 1/2×2 = 7. This way, your denominator will always be a whole number, which is very convenient. This method also assures that you are being conservative in estimating your advantage, and therefore, safer in bet-sizing. If you have any difficulty whatsoever calculating your denominator when 1/2-deck increments are involved, then simply look at the following chart:
1/2×2=1
11/2×2 = 3
2 1/2×2 = 5
3 1/2×2 = 7
4 1/2×2 = 9
5 1/2×2 = 11
6 1/2×2 = 13
7 1/2×2 = 15
I think most people with an average command of math can do this with little difficulty, but if you have trouble, then simply learn the chart.
Also, let me reemphasize that you should not be intimidated by "weird" fractions. If you come up with fractions like 5/13, 2/5, 5/11, or 4/9, so long as you know that these fractions are all less than 1/2—or even somewhere around 1/2—you have all the information you need to estimate your advantage. Most pros estimate their advantage to the nearest 1/2%, and it's impractical to attempt to size your bets with more accuracy than that.
Likewise, 12/10, 11/8, 9/7, and 5/4 are all slightly more than 1. Knowing that your advantage is slightly more than 1 % above your pivot advantage is all you need to know. You do not need to consider 9/7 as anything different from 12/10. For your betting purposes, just know that all of these fractions indicate a 1 % raise above your pivot advantage.
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