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Five and Ten Counts and Derivatives  

To begin this page, I present two five counts for historical purposes
only.  Next are two ten counts which were also early in Blackjack
counting history, but became the basis of other reformulated ten
counts and Ace-Ten counts which are viable today.

8. Five Count Strategy
Beat the Dealer by Dr. Edward O. Thorp, 1962, 1966

This is the first strategy formulated by Dr. Thorp.  It evolved from a
computer study of player advantage when cards were missing from the
deck.  First, the four aces were deleted and the player advantage was
calculated.  The player advantage was -2.42%.  The study was then
continued for every denomination.  He discovered a deck with all four
fives missing gave the player the highest advantage of all: +3.58%.

This discovery led him to devise the Five Count Strategy.  The player
begins play making small bets and keeping track of the fives.  When the
fives were depleted from the deck, the player had the advantage and
should make a large bet on the next hand.  One would want to make
sure there were enough cards left to play another hand before placing
the bet.  Dr. Thorp also developed strategy changes which would be
used in conjunction with the increased bet.

This strategy was developed when Blackjack was played with single
decks only, and the deck was dealt down to the last card.


9. Revere 5 Count
Playing Blackjack as a Business by Lawrence Revere, 1994.

The Revere 5 Count is based on the same principle as Dr. Thorp’s 5
Count.  The major difference is Dr. Thorp waited until the 5s were
depleted, then made his large bets.  Revere refined this by comparing
the number of 5s seen to the number of cards played.  He was able to
take advantage of a five deficit for one quarter, one half, and three
quarters deck, not waiting for all of the 5s to show.  Revere developed a
betting matrix based on the number of fives seen at any given quarter
of deck.  He also gave a modified basic strategy to go along with the
count.

This count was a step toward the Thorp Ten count which will be
discussed next.  With this count you compare the 5s to others ratio,
where the Thorp Ten Count counts the tens to others ratio.


10. Ten-Count
Beat the Dealer by Dr. Edward O. Thorp, 1966

The second counting system developed by Dr. Thorp was the Ten-
Count.  From the computer study he did, he added four tens to a deck,
then calculated the player advantage to be +1.89%.  Although less than
the fives, there are 16 ten-value cards, so there could be more
deviations from average, and therefore, times when the advantage was
much higher than that of the fives.  Starting from a fresh deck, the
player keeps track of tens and others (non-tens).  In a full deck there
are 36 others and 16 tens, so the ratio is 2.25:1.  As the cards are
played, the player counts down from 36:16.  For example, if there were
six others and one ten dealt, the count would go to 30:15, yielding a
ratio of 2:1.

Dr. Thorp calculated the advantage from a ratio of 3:1 down to 1:1.  A
ratio of 3:1 has a -2% advantage, while a ratio of 2:1 has a player
advantage of +1%.  Next, Dr. Thorp devised betting guidelines for
various ratios.  When the ratio was between 2:1 and 1.75:1, 2 units
were bet.  Between 1.75:1 and 1.65:1, the bet was raised to four
units.  Strategy tables were also developed to go along with the Ten-
Count.

The beauty of the ten-count was that it was a more powerful system
than any count preceding it, and almost any genius could execute it
flawlessly.

11. Revere Ten Count
Playing Blackjack as a Business by Lawrence Revere, 1994.

According to Revere, “By 1959, I was playing a ten count strategy.”  If
this is true, it predates Dr. Thorp’s original 1962 book by three years.  
Unlike Thorp, Revere counted forward and didn’t use ratios.  Instead, he
developed a chart with codes which he memorized.  As he saw tens and
non-tens, starting at 0-0, he counted forward.  For instance, 1-2, 2-5,
3-6, where the first number was the number of tens, and the second,
the number of non-tens.  His chart went from 1-15 tens, and up to 35
non-tens.  Where the points crossed was a bet from one to five units,
and this was the appropriate bet.

Whether this was simpler than Dr. Thorp is debatable, but the concept
of counting forward was certainly easier.


We now fast forward to the 21st century and multiple deck
blackjack
.

12. Ace Ten Front Count
Blackjack Bluebook II by Fred Renzey, 2004.

The Ace-Ten Front Count is used to gauge the deck favorability at the
point where two decks have been played.  Starting from a freshly
shuffled shoe, and a count of 0, count the aces and ten value cards.
Keep a running total of these cards as they come out.  Keep counting
until the discard tray contains two decks.  At this point the count would
normally be 40 if the decks were neutral.  If the count is 36 or less, the
player has the advantage, and should bet more.  Mr. Renzey
recommends four units.  If the count is 37-41, bet one unit, and if the
count is 42 or greater, leave the table.

Mr. Renzey gives some playing modifications as well.  For example, if the
count is 36 or less, stand on 16 vs dealer 10.  This is approximately a
count of plus two.  Other changes to basic strategy are given as well.  If
the count is greater than 36, he recommends you simply play basic
strategy.

A technique he suggests is to stand back and observe for the first two
decks, then if the count is 36 or less, jump in and play.  If not 36 or
less, move on to another table.  If you are a card counter, this might
sound familiar to you.  It is known as “back counting”, or, “Wonging”,
named for Stanford Wong who put it on the map.  So to implement the
front count you have to back count.  Actually, Mr. Renzey recommends
you back count once, and if unsuccessful, sit down at a table with a
fresh shoe and start from scratch.  Many casinos will not allow mid-shoe
entry to prevent players from “Wonging.”

Finally, Mr. Renzey suggests you could improve the Ace-Ten Front
Count by checking at two, three and four deck marks.  Of course there
are different betting numbers for each.

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