Walter T. said:
Speaking of simple math, here's a simple math question regarding
your billion hand sim and charted outcomes (referenced earlier in this thread) comparing a $10 flat bettor with a four-loss quit point to a progressive player with a $20/30/40/50 positive progression and a four-loss quit point: What was the average dollar amount wagered per hand by the progressive QP player?
I'm assuming that the average dollar wagered by the flat QP play is about $11.17 per hand, since this was the average bet wagered by the flat bettor with no quit points, and this would also be the average amount wagered per hand for the flat QP player, and these two should be the same.
Also, you indicated earlier in this thread that you would run a sim on quit points. Did you do so, and what were the results?
Mr. Walter,
Let's forget about simulations, go back to the basics and answer together a bunch of primitive questions.
a) If you don't like simulations, do you like math and in particular a branch of it called
combinatorics?
b) If so, do you know that the so called
basic strategy which is a bunch optimum playing decisions that
maximizes your expectation value based on your cards and the dealer's up-card, is calculated using
combinatorial analysis?
c) If so, did you know that for typical Blackjack game these days such as a 6 deck shoe double after split, dealer stands on soft 17. The
player expectation value as a percentage is -0.411%?
d) If so, do you agree that the
player's expectation value in units or dollars is given by the following equation
EV(in Units)=EV(percentage)*TotalBets ; where total bets is the sum of all the bets made by the player (also called total action)?
e) If so, do you agree that the total bets placed by the player (total action) is
not dependent on how that total is achieved meaning all the following betting sequences will have the same total bets of %250?
10, 20, 10, 40, 20, 10, 50, 30, 40, 20
25, 25, 25, 25, 25, 25, 25, 25, 25, 25
12.5, 25, 50, 100, 50, 12.5
f) If so, do you agree based on the equation in d) that the expectation value for the player in units will be the same
negative value for all three sequences or any other sequences where the total bets is $250?
g) If so, do you understand now why certain progressions are worse than other progressions because some progressions advocate betting more money thus increasing the player total bets and consequently he is expected to lose more money if the game has a negative expectation value (expressed as a percentage)?