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How to Beat the Casino, and How They'll Stop You - YouTube
Channel: Wendover Productions
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Within the walls of the 51 licensed casinos
of the Las Vegas Strip, there are 2,879 gaming
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tables collectively bringing in $3.1 billion
in revenue annually, or over a million dollars
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each.
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In addition, there are some 38,864 slot machines
bringing in another $3.4 billion.
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A single large Las Vegas casino, like the
Bellagio, make more annually than some small
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countries.
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This is because the Casino business model
is pretty much bulletproof.
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Overall, the odds are always in the Casino’s
favor—if this weren’t true, the casino
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would fail—so these floors just print money.
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MGM International, for example, one of the
world’s largest multinational gaming companies,
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has about 2.5 million square feet of Casino
floor worldwide meaning it makes, on average,
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$1,138 per square foot.
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With the money their casinos bring in, they
could line every inch of every foot of their
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casino floor worldwide with a brand new iPad
and still have money left over.
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This is all to say, casinos make a lot of
money, but to do so, they need a lot more
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money coming through their doors.
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You see, the casino business model all revolves
around risk.
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With every game they have, the odds are in
their favor, but that’s not to say the house
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will always win.
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Their advantage varies from game to game—in
roulette, it’s about 5.25%, in Poker, it’s
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about 3.35%, and in Blackjack, it’s about
0.5%.
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Of course, given how tight these margins are,
there's a natural variability so casinos can
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come out behind on a given table on a given
night, but overall, with enough tables and
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enough nights, they’ll average out to these
odds.
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However, in order to do so, they need an immense
amount of money running through their casinos.
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Blackjack, for example, is one of the games
with the lowest house edge, so if a casino
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wants to earn $1 billion in a given year from
the game, which would not be an unreasonable
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estimate for a large gaming company like MGM
International, they would need $200 billion
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changing hands within their doors each year.
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$200 billion is an enormous amount of money.
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That’s pretty much the entire GDP of New
Zealand, passing through, in the case of MGM,
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a physical structure barely larger than the
Empire State Building.
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When you have such a rapid throughput of money,
very slight changes in the odds can make a
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huge dent in the gaming company’s earnings.
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If, for example, the house edge in Blackjack
changed from 0.5% to 0.4%, they would lose
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$200 million, assuming $200 billion in annual
play.
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This is why making sure these odds stay in
their favor is so important to casinos.
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It can quite literally make or break them.
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Despite what pop culture might portray, a
casino’s biggest problem is not robbers
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or hackers or even technically cheaters, because
each of those is relatively easy to prevent.
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Rather, their biggest problem is people who
are able to turn the odds in their favor without
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robbing, hacking, or even cheating.
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You see, in most common-law countries, such
as the US, England, Ireland, or Australia,
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cheating is legally defined as altering the
outcome of the game, acquiring knowledge not
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available to all players, or changing ones
bet after learning of the outcome.
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Cheating in a casino is generally illegal,
however, it’s possible for a player to consistently
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win without cheating.
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The best-known example of this is card counting—a
type of advantage play used in the Blackjack
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family of games which is not illegal and,
in some cases, is even legally protected.
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This advantage play technique essentially
takes the basic principles of the game of
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Blackjack and uses them against the casino,
and these principles are fairly simple.
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So start a game, each player bets an amount
of money, then, six decks of cards are shuffled
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together to form what’s called the shoe.
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Each player is dealt two cards, face-up, while
the dealer gets one face-up and one face-down.
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The goal for all participants is simple—it’s
to get their cards to total as close to 21
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without going above 21.
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The execution of that is much tougher.
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Starting from the left, each player will either
decide to stick with the total they have,
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or to take another card to add to it.
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Of course, the player doesn’t know what
the next card will be worth, it could be anything
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from 1 to 11, so it’s a gamble on whether
it’ll make the total go over 21—in which
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case their bet is lost.
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The higher the original total, the riskier
it is to take another card, but there is,
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in fact, a mathematically optimal choice for
every scenario.
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Once every player is done taking cards, or
not, the dealer reveals the face-down card
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and, automatically, if their total is below
17, they take additional cards until it isn’t.
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If it’s 17 or higher, the leave it as is.
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There are then three scenarios.
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If the dealer goes above 21, all players’
bets are doubled, as long as they didn’t
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go above 21 first.
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If the player’s total is higher than the
dealer’s, then the player’s bet is doubled.
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However, if the player’s total is lower,
they lose their bet.
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Of course, this explanation skipped over plenty
of smaller rules and unlikely edge-cases,
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but it is these fundamental elements of game-play
that tie into why card counting works.
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Now, without getting too much into the math,
on average, in Blackjack, higher-value cards
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benefit the player, while lower cards benefit
the dealer.
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While the explanation for the higher-cards
is more complex, lower cards benefit is based
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on the fact that they are required to take
additional cards when their total is less
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than 17 and so a greater density of lower
cards makes it less likely that they’ll
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total over 21—in which case each player’s
bet is doubled.
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Therefore, if you know that a bunch of low
cards are coming, you know that the odds are
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against you and so you should reduce your
bet or not play.
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But, the question is, how do you know what’s
coming in a randomly shuffled deck?
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Well, you perform process of elimination,
or, even more simply, you count the cards
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you see.
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There are hundreds of different forms of card-counting
that work in hundreds of different ways, but
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all are more or less based on what’s known
as the Hi-Lo system.
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With this, each card is assigned a value.
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Two through six are assigned one, seven through
nine are assigned zero, and ten, the face
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cards, and the ace are assigned negative one.
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This is based on the fact that, every time
a high-value card is dealt, there are fewer
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of them in the deck, which means the odds
get worse for the player considering that
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high-value cards are better for them, and
vice versa.
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So, card counting is quite simple.
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With every card a player sees, they add up
its assigned value.
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So, if there are three players, and they are
dealt these cards, the running count would
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be one plus zero plus negative one plus one
plus zero plus one plus zero, which would
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equal a total of two.
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That total of two indicates that the odds
have shifted slightly in the player’s favor,
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while if it were negative two that would indicate
the odds were in the dealer’s favor.
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As play goes on, and they get deeper into
the deck, the running count will generally
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increase in one direction or the other, giving
the player more confidence on where their
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odds stand and so if, for example, the running
count equalled twenty, the player would know
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that the odds were greatly in their favor
and therefore that they should bet big on
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the next round, as they have a greater than
50% chance of winning.
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This is how people can reliably make money
in Blackjack.
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If a player changed their bet by a factor
of fifteen depending on the odds, and the
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dealer waited until they’re through five
of the six decks before shuffling, a player,
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following perfect Blackjack strategy, could
earn an advantage of about 1.182% over the
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house.
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That means that if, assuming a table completes
a round of play every minute and the average
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bet is around $200, a card counter could profit,
on average, about $110 an hour—enough that
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some people can and do make a living by sitting
at Blackjack tables, counting cards.
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However, considering how simple and reliable
this advantage play method is, casinos go
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to great lengths to stop it, which is very,
very difficult.
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That’s because the advantage is all in the
mind—there’s no good way to fully prove
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someone’s card counting.
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Sometimes, people are just lucky, and it’s
quite a bad look for casinos to kick people
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out just because they’re winning.
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That’s why, instead of trying to prove it,
most casinos implement rules to try and stop
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card counting from working as well.
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Remember that, generally, the running count
will get further into the positive or negative
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the further into the game one goes, because
the card counter will have seen more cards
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that are now in the discard pile, and therefore
cannot be dealt.
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While a few rounds in the running count might
be in the single-digits positive or negative,
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further on, it’ll get into the double-digits
which gives a counter great confidence on
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whether they should bet big or not.
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It’s towards the end of the shoe, the collection
of un-dealt cards, when card counters really
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make their money, so to make it less profitable,
casinos can just have their dealers shuffle
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earlier on.
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If they shuffle four decks deep into the six-deck
shoe rather than five, that decreases the
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player’s advantage from 1.182% to just 0.568%.
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However, shuffling earlier and more often
also cuts into the casino’s profits because,
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anytime the dealer is shuffling, the non-advantage
players aren’t playing and losing money—which
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is how the casino makes its money.
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Another option for casinos is to increase
the number of decks they shuffle together
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to make the shoe.
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Back before card-counting first became a widespread
issue for casinos, they would play Blackjack
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with just a single deck of cards, but if they
did this today, it would only be a matter
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of minutes before a card counter would have
high confidence about the odds.
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Therefore, they typically now play with six
decks shuffled together, which increases the
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time it takes to get to high confidence and,
since time is money for a card counter, this
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decreases their profits.
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Some casinos take this a step further by using
continuous shuffle machines.
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With no discard pile, there is no increase
or decrease in beneficial cards in the shoe,
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so card counting is completely ineffective,
however, these machines are not yet fully
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widespread due to distrust by frequent players.
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While these methods deal with stopping or
reducing a player’s ability to actually
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know what the odds are at a given moment,
the other method involves stopping a player’s
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ability to respond to this knowledge by changing
the size of their bets.
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Essentially, if a dealer or a pit-boss suspects
someone might be card counting, they’ll
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change the rules on them and require flat-betting.
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This is where a player is told to pick one
bet size and then they are not allowed to
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change that size from round to round.
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Therefore, card counters might know that the
odds are changing, but they will not be able
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to respond to it with a larger or smaller
bet, so the odds will stay in the house’s
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favor.
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However, that poses the question, how do you
spot a card counter?
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Well, one of the most tell-tale signs is that
they’re wining.
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Even if someone is card counting, the casino
does not care as long they’re losing, so
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they don’t really pay attention to people
until they’ve made some real money.
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Once they are, though, if a pit-boss notices
that a player, for example, changes their
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bet from $100 to $1,000 right before a series
of wins or as the shoe is close to finished,
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that’s a good sign that they know what the
odds are.
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In addition, professional card-counters often
start with a very large buy in—they convert
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a lot of money into chips—because there
is natural variance on whether or not they
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win, even if they know the odds.
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They can win infinite money, but they can
only lose as much money as they have, and
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even if they have an advantage, if they’re
unlucky and they lose all their money, there’s
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no way to win it back.
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The math works out so that, if you want to
win $170 an hour card counting, you need to
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have $100,000 total in order to only have
a 1% chance of running out of money.
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In the end, casinos don’t need to make it
impossible to count cards.
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Only a small minority of people will attempt
it and those that do can only make so much
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money per hour, so in a way, its a cost of
doing business.
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To avoid it making a big dent in their profits,
all they need to do is make advantage play
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at their tables just a little bit harder than
those next door and, if this is the case,
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the card counter will go next door.
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There will always be an escalating arms race
by both players and casinos to gain an advantage
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and stop an advantage, respectively.
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Mathematics, economics, and human nature combined
mean that as long as Blackjack and other flawed
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casino games stay popular, players will always
find a way to tilt odds ever so slightly in
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their favor.
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Before I made this video, I took Brilliant’s
course on Casino Probability and, specifically,
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the section on Blackjack to be sure that I
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