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| The Gambler's Fallacy by William J. Enslen, Jr. |
Be smart, play smart, and learn how to play craps the right way.
The "gambler's fallacy" is the false belief that fixed odds increase or
decrease depending on recent occurrences. Let's use the familiar coin-flip
example to illustrate this concept. Assuming we use a fair coin and a fair
flip, we expect a 50% chance that heads will appear and a 50% chance that
tails will appear. Those odds are fixed and will never change. Suppose
heads appears five times in a row. If you think tails has a better chance of
appearing on the next flip because it hasn't shown for the last five flips (i.e.,
you think tails is "due"), then you've fallen for the gambler's fallacy. You
must understand that results of previous flips have no influence on the
outcome of future flips.
In craps, the dice have no memory. They don't remember how they landed
on the last roll. They don't care if they haven't shown a 7 in the last 50 rolls
or even a million rolls. The odds of any number showing remain constant
and are never influenced by what occurred previously.
Have you seen the big tote board by a roulette wheel showing the results of
the last 10 or 15 rolls? It not only shows the recent numbers that hit, but
also the colors (i.e., red or black). Almost every roulette wheel in every
casino on the planet has a tote board. What purpose does that thing serve
for either the player or the casino?
It doesn't serve the player any purpose other to sucker him into making a
bet that he wouldn't otherwise make. It serves the casino's ultimate
purpose of taking advantage of the gambler's fallacy and getting more bets
in play. The more bets in play, the more money the casino makes. The
casino has one key goal: get you to make as many bets as possible. The
casino knows its profits go up as your number of bets goes up. The sole
purpose of the tote board is to get you to make a bet that you normally
wouldn't make.
Suppose a husband and wife stroll through the casino on their way to
dinner with no intention of stopping to gamble. They approach the
table-games area and see on a particular roulette wheel's tote board that
the color red appeared on the last six rolls. The guy points to the wheel
and says, "Look, dear, black is due for that wheel. Let's try it!" The tote
board just did its job. It suckered the guy into making a bet that he wouldn't
have made had he not known that red appeared six times in a row. Yeah,
sure, black is "due" all right. Wrong! The little ball doesn't know it landed
on red the last six times. It only knows that both red and black have an
equal chance of appearing on the next roll. It doesn't influence itself to
land on any particular number or color because of past occurrences.
Suppose your craps system tells you to Lay the 4 for $50 only after the
number 4 hits three times in a row. Your system is based on the belief, if
the number 4 shows three times in a row, then chances are that a 7 will
appear before another 4. Is this a good, smart bet? Is this simple system
good or bad?
Yes, it's definitely a good bet, and this system is an acceptable way to play
if you don't mind getting bored to death. You think, "Huh? You're either
nuts or full of crap because you just finished saying the dice have no
memory, and future outcomes aren't influenced by previous ones.
Therefore, how can that be a good, smart bet?" Calm down, let me explain.
In this example, you make a bet only after the number 4 has appeared
three times in a row. You're a knowledgeable player, a disciplined rock,
one who sticks to your system and doesn't allow emotion to cause you to
deviate. Making a Lay 4 bet under those specific conditions doesn't make
your odds of winning or losing any different than another person making a
Lay 4 bet at any other random time. Regardless of when or under what
circumstances you make the bet, the odds don't change. The Lay 4 bet
with a vig after a win always has a 1.64% house advantage. It doesn't
matter whether you make the bet only after the number 4 has appeared
three times in a row, or only when the shooter takes a swig of beer, or only
when there's a full moon. The odds never change.
However, although the Lay 4 bet with a vig after a win is considered a good
bet because of its low house advantage, it's possible to regard it as bad
under certain circumstances. Let's look at another example.
Suppose your system doesn't include the Lay 4 bet. Under no
circumstances does it tell you to make a Lay 4 bet. Suppose the number 4
appears eight times in a row. The hot babe next to you falling out of her
halter top says, "There's no way a four will hit again. We should bet
against it. What do you think?" You respond, "No thanks, I'll stick to my
system. It's been good to me so far." She wiggles a bit and says, "Oh,
come on, I don't want to be the only one hoping for a seven." Her jiggling
causes you to lose focus, so you say, "Maybe you're right. Another four
can't possibly hit again. Let's go for it!"
This is a situation where a good bet can be a bad thing. The key is that
you allowed yourself to risk more money than you had originally planned
because of the gambler's fallacy (and partly because you couldn't say no to
the bimbo next to you). Remember, the more bets you make, the more the
casino wins. So, adding more bets to your plan--even though they may be
considered good because of their low house advantages--can be
hazardous to your bankroll.
Let's revisit the example of the couple strolling through the casino.
Suppose the couple were in their hotel room before going down to dinner.
As the guy brushes his hair, he says to his wife, "Is it okay if we stop at the
roulette wheel so I can make a quick five-dollar bet?" His wife responds,
"Sure, but we have reservations and we can't be late." They stroll through
the casino and approach the roulette wheel. The guy sees that red has
appeared six times in a row and, as a result, decides to bet $5 on black (he
thinks black is "due").
Under these circumstances, using the tote board to influence his bet is
harmless. Regardless of what bet he makes (black, red, even, odd, etc.),
the house still has about a 5% advantage. The guy came to the table
intending to make a $5 bet, so the results displayed on the tote board
weren't the trigger that influenced his decision to make the bet. In this
example, although the guy's belief in the gambler's fallacy influenced him to
bet on black, the gambler's fallacy didn't trigger him into making the bet (he
had already intended to make the bet before leaving his hotel room). The
gambler's fallacy does its job only when it influences you to make a bet that
you normally wouldn't make.
The moral is, don't let the gambler's fallacy cause you to make bets that
you normally wouldn't. If you still believe that previous results influence
future results and--here's the important part--if this belief causes you to risk
more money than you intended, then you're playing a dangerous game.
Play smart. Be a rock. Don't fall for the gambler's fallacy. Don't let it
cause you to put more money at risk than you had planned or that you can
afford to lose. If you don't want to lose your shirt, you must learn the secret
to craps. Don't fall for bogus winning systems or ridiculous dice-setting
claims.
Now you know! Remember, be smart, play smart, and learn how to play
craps the right way.
back to Articles
The "gambler's fallacy" is the false belief that fixed odds increase or
decrease depending on recent occurrences. Let's use the familiar coin-flip
example to illustrate this concept. Assuming we use a fair coin and a fair
flip, we expect a 50% chance that heads will appear and a 50% chance that
tails will appear. Those odds are fixed and will never change. Suppose
heads appears five times in a row. If you think tails has a better chance of
appearing on the next flip because it hasn't shown for the last five flips (i.e.,
you think tails is "due"), then you've fallen for the gambler's fallacy. You
must understand that results of previous flips have no influence on the
outcome of future flips.
In craps, the dice have no memory. They don't remember how they landed
on the last roll. They don't care if they haven't shown a 7 in the last 50 rolls
or even a million rolls. The odds of any number showing remain constant
and are never influenced by what occurred previously.
Have you seen the big tote board by a roulette wheel showing the results of
the last 10 or 15 rolls? It not only shows the recent numbers that hit, but
also the colors (i.e., red or black). Almost every roulette wheel in every
casino on the planet has a tote board. What purpose does that thing serve
for either the player or the casino?
It doesn't serve the player any purpose other to sucker him into making a
bet that he wouldn't otherwise make. It serves the casino's ultimate
purpose of taking advantage of the gambler's fallacy and getting more bets
in play. The more bets in play, the more money the casino makes. The
casino has one key goal: get you to make as many bets as possible. The
casino knows its profits go up as your number of bets goes up. The sole
purpose of the tote board is to get you to make a bet that you normally
wouldn't make.
Suppose a husband and wife stroll through the casino on their way to
dinner with no intention of stopping to gamble. They approach the
table-games area and see on a particular roulette wheel's tote board that
the color red appeared on the last six rolls. The guy points to the wheel
and says, "Look, dear, black is due for that wheel. Let's try it!" The tote
board just did its job. It suckered the guy into making a bet that he wouldn't
have made had he not known that red appeared six times in a row. Yeah,
sure, black is "due" all right. Wrong! The little ball doesn't know it landed
on red the last six times. It only knows that both red and black have an
equal chance of appearing on the next roll. It doesn't influence itself to
land on any particular number or color because of past occurrences.
Suppose your craps system tells you to Lay the 4 for $50 only after the
number 4 hits three times in a row. Your system is based on the belief, if
the number 4 shows three times in a row, then chances are that a 7 will
appear before another 4. Is this a good, smart bet? Is this simple system
good or bad?
Yes, it's definitely a good bet, and this system is an acceptable way to play
if you don't mind getting bored to death. You think, "Huh? You're either
nuts or full of crap because you just finished saying the dice have no
memory, and future outcomes aren't influenced by previous ones.
Therefore, how can that be a good, smart bet?" Calm down, let me explain.
In this example, you make a bet only after the number 4 has appeared
three times in a row. You're a knowledgeable player, a disciplined rock,
one who sticks to your system and doesn't allow emotion to cause you to
deviate. Making a Lay 4 bet under those specific conditions doesn't make
your odds of winning or losing any different than another person making a
Lay 4 bet at any other random time. Regardless of when or under what
circumstances you make the bet, the odds don't change. The Lay 4 bet
with a vig after a win always has a 1.64% house advantage. It doesn't
matter whether you make the bet only after the number 4 has appeared
three times in a row, or only when the shooter takes a swig of beer, or only
when there's a full moon. The odds never change.
However, although the Lay 4 bet with a vig after a win is considered a good
bet because of its low house advantage, it's possible to regard it as bad
under certain circumstances. Let's look at another example.
Suppose your system doesn't include the Lay 4 bet. Under no
circumstances does it tell you to make a Lay 4 bet. Suppose the number 4
appears eight times in a row. The hot babe next to you falling out of her
halter top says, "There's no way a four will hit again. We should bet
against it. What do you think?" You respond, "No thanks, I'll stick to my
system. It's been good to me so far." She wiggles a bit and says, "Oh,
come on, I don't want to be the only one hoping for a seven." Her jiggling
causes you to lose focus, so you say, "Maybe you're right. Another four
can't possibly hit again. Let's go for it!"
This is a situation where a good bet can be a bad thing. The key is that
you allowed yourself to risk more money than you had originally planned
because of the gambler's fallacy (and partly because you couldn't say no to
the bimbo next to you). Remember, the more bets you make, the more the
casino wins. So, adding more bets to your plan--even though they may be
considered good because of their low house advantages--can be
hazardous to your bankroll.
Let's revisit the example of the couple strolling through the casino.
Suppose the couple were in their hotel room before going down to dinner.
As the guy brushes his hair, he says to his wife, "Is it okay if we stop at the
roulette wheel so I can make a quick five-dollar bet?" His wife responds,
"Sure, but we have reservations and we can't be late." They stroll through
the casino and approach the roulette wheel. The guy sees that red has
appeared six times in a row and, as a result, decides to bet $5 on black (he
thinks black is "due").
Under these circumstances, using the tote board to influence his bet is
harmless. Regardless of what bet he makes (black, red, even, odd, etc.),
the house still has about a 5% advantage. The guy came to the table
intending to make a $5 bet, so the results displayed on the tote board
weren't the trigger that influenced his decision to make the bet. In this
example, although the guy's belief in the gambler's fallacy influenced him to
bet on black, the gambler's fallacy didn't trigger him into making the bet (he
had already intended to make the bet before leaving his hotel room). The
gambler's fallacy does its job only when it influences you to make a bet that
you normally wouldn't make.
The moral is, don't let the gambler's fallacy cause you to make bets that
you normally wouldn't. If you still believe that previous results influence
future results and--here's the important part--if this belief causes you to risk
more money than you intended, then you're playing a dangerous game.
Play smart. Be a rock. Don't fall for the gambler's fallacy. Don't let it
cause you to put more money at risk than you had planned or that you can
afford to lose. If you don't want to lose your shirt, you must learn the secret
to craps. Don't fall for bogus winning systems or ridiculous dice-setting
claims.
Now you know! Remember, be smart, play smart, and learn how to play
craps the right way.
back to Articles
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| Remember, learn how to play casino craps the right way! My book teaches you to play in reality, not Fantasyland. |
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