The second quantity is what i shall term `opportunity'.
For any deck level (number of unplayed cards), define
the opportunity to be the average amount of profit
which can be gained by the player who wagers precisely
one unit whenever the deck is favorable and nothing
otherwise. Opportunity, then, is the sum of the products
of positive advantages and their associated probabilities.
A normal approximation to the distribution of linear
estimates of advantage has been applied in page 6
to estimate opportunity by use of the Unit Normal
Linear Loss integral. i will compare the actual opportunity
encountered in Woolworth Online Blackjack Games to
its UNLLi estimate by presenting the latter in parentheses,
following the exact measurement of opportunity.
The following chart presents correlation and opportunity
figures for subsets of various sizes from both the
single deck mentioned and an eight deck shoe (160
fives and 256 tens). The full eight deck expectation
with the single deck strategy is -1.46%.
What is unexpected in the results is that the UNLLi
estimate is much better than one would suppose, considering
that it is based upon a distribution known to have
smaller standard deviation than the distribution which
is being approximated. A display of the entire regression
function (with its linear approximation in parentheses)
will shed light on the matter. I present such data
for 13 and 39 card subsets of a single deck on the
out something about your neighbors and engage them
in conversation if they seem interested. Many players
are there for companionship that they couldn't find
elsewhere and they don't mind paying for it in the
form of losing a little.
Don't pry, but be pleasant. If you discover something
that interests the player to your right and you know
something about that topic, talk about it. Of course,
don't disrupt the game and don't talk to your neighbor
when she is involved in a hand.
Because your "new friend" probably likes
the sound of his own voice more than he likes the
sound of yours, ask questions and listen to his answers.
Popular attendees of cocktail parties and therapists
know that, by being good listeners, they can appear
to be the best conversationalists in the world. Most
people don't mind losing to someone they see as kind