longtimelancer
longtimelancer
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May 5th, 2014 at 5:40:48 PM permalink
OK. So I am curious to learn how lucky I was Friday night at the Mirage.

What are the chances of winning 100 units with a 10-unit bankroll on a 1-unit table laying full 3-4-5X odds on the don't?

Also, with 0 odds?
Buzzard
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May 5th, 2014 at 6:37:43 PM permalink
Considering you just did it, I think it's very close to 100%
Shed not for her the bitter tear Nor give the heart to vain regret Tis but the casket that lies here, The gem that filled it Sparkles yet
dwheatley
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May 5th, 2014 at 7:25:46 PM permalink
It's a little less than 1 in 11. I'm not sure how the odds-taking affects the probability. Maybe someone who likes doing sims will happen across this thread.
Wisdom is the quality that keeps you out of situations where you would otherwise need it
AxelWolf
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May 5th, 2014 at 7:34:02 PM permalink
Quote: Buzzard

Considering you just did it, I think it's very close to 100%

;) Smarty pants.

I would have called you a Smart @ss, But BBB is back on the prowl.
♪♪Now you swear and kick and beg us That you're not a gamblin' man Then you find you're back in Vegas With a handle in your hand♪♪ Your black cards can make you money So you hide them when you're able In the land of casinos and money You must put them on the table♪♪ You go back Jack do it again roulette wheels turinin' 'round and 'round♪♪ You go back Jack do it again♪♪
RS
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May 6th, 2014 at 1:44:01 AM permalink
My guess is you drunkenly dropped a black chip in the field, didn't notice, many field numbers hit in a row, dealers saying "it lays it plays....all goes in the field" then you finally realized it was all yours and collected $2k.
Ahigh
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May 6th, 2014 at 7:21:11 AM permalink
The single bet approach is 9.09% on the hard eight or hard six.

You get a 10x return 1 in 11 attempts. The edge is the other 1 in 11 units that the house keeps when they pay you.

You can get a 10x return more frequently than 1 in 11 if you are VERY smart with betting. Parlay is often a better way to get a high multiple without such a high edge.

One of the best parlay plays on craps is to start in multiples of $25 and "press all the way" on the buy 4 or buy 10 throwing in the vig until you have so much money you can't stand to do it again.

Chance of winning $49 from $25 is 1 in 3 -- house edge is 1.33% (almost triple your money)
Chance of winning $221 from $26 is 1 in 9 -- total vig is $5 -- house edge is approximately $5/226 = 2.2%
To get the last $40 to make it to $250, lay the four for $84 to win $42 (will cost you $86 with vig up front). House edge for the last move is $3/($86+$43) with vig up front or 2.32%

$8 / $258 = 3.1% combined edge to get a 10x return .. and please don't rip me apart for details on the edge (it's lower with vig on win with lay 4/10 which you can find at MGM and other properties), but the point is that you can get better than 9.09% with parlay action. It just takes longer (12 rolls on average in the lower edge plan I outline) than the 3.27 rolls to resolve a hard six or a hard eight.

Additionally, this is a low edge approach, and laying the four or ten at the last leg is not the surest fire way to meet your goal to make $40 from $220. If you want to have the best chance, you might also want to place as many numbers as possible to win $40 and after the first hit take everything down.

So buy the four for $20, buy the ten for $20, place the six for $36, place the eight for $36, place the nine for $30, place the five for $30 and hope for a 4, 5, 6, 8, 9, or 10 before a seven and take everything down on the first hit. The edge for that to resolve is not as good, but your chances of reaching your goal are ABOUT the same with a lower edge (more win). There is more than one way to skin a cat, and this is still better than just doing it all on the hardway if your a math oriented person. A "keep it simple stupid" approach is still the hardway, though.

This last leg employs some bets that have 1.11% edge per roll (the five and nine) which is pretty weak, and you may overshoot your target depending on your bet amounts. So it's not perfect. But you may have some money left over as $20 + $20 + $36 + $36 + $30 + $30 = $172 -- so you'd have a little less than $50 left over to try again and still have a little less than 1 in 11 chance of making it. (1/9)*(24/30) = 1 in 11.25

For the best deal, it's better to align your targets to full pressure on the four or the ten if you want a big win multiple and skip the higher edge legs given afterwards here. IE: be happy with making $221 or so from $26 for a little more than a 2.2% edge. In multiples of $100, it's $105 to $885 (and multiples thereof), and the edge is a little higher since you don't round down $0.25 on the first hit. But you still make it almost 9x your money 1 in 9 times.

If you're not particular of the win multiple, doing max odds and parlaying all the way until it gets silly will give you the best possible edge. But you don't have any idea how much you will make and can often get greedy and lose it all if you're looking for 10x and not happy with 8x and so on.

Anecdotally I have seen two people simultaneously take $25 (plus vigs) to $8,000 (two final hits with $2,000 fours each -- pass limit was $1,000 and they still took a $2,000 four from two people at once) each with full pressure at the California Casino. They had to fetch more purples they won so much. Those were two happy campers.
aahigh.com
dwheatley
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May 6th, 2014 at 7:29:25 AM permalink
You have a 1 in 11 chance of hitting a hard 6/8 but you only get paid 9x. If you bet 10 units, you'd only make 90, not enough to meet OP criteria.

It should be impossible to get to 1 in 11 or better unless all your bets have 0 or +EV. Doesn't matter how smart your betting is in -EV games, you can't beat the gambler's ruin formula for an even game.

I estimate ~9% chance of winning 100 from 10, probably less.
Wisdom is the quality that keeps you out of situations where you would otherwise need it
mikeabiomed
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May 6th, 2014 at 7:43:54 AM permalink
It really depends on what you play. The other day I received $50 in free play and hit a $1 royal progressive jackpot for $4,653. it was the 2nd time in 4 months that had occurred. Other times, I've dropped $4,000 or more to win $500. It's not always about probability. It's timing and luck that controls most of the outcome. Basically, it's an expensive form of entertainment with moments of excitement. I played many different games over the years and Jacks or Better or Double Double Bonus video poker have paid the best. I say that reluctantly, because unless you are extremely lucky, then STOP, you will ultimately lose money. Just go in with a good attitude and play your best without getting foolish.
Reno Mike
AxelWolf
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May 6th, 2014 at 11:02:43 AM permalink
Quote: mikeabiomed

Just go in with a good attitude

I want to point out that ATTITUDE really has nothing to do with gambling. Unless a bad attitude causes you to not play your best ( Like make mistakes on VP) or it makes you get foolish(bet more then you can deal with). Live poker others may pick up on emotion and it could affect you.

Sure attitude can affect how much fun you have while playing. Just don't fool yourself into thinking if you have a great attitude the cards will fall your way.

I have made some plays where i had a bad attitude thinking I was probably going to get my ass kicked, or never in a million years hit my target, but then won big. I have also played stuff I thought for sure I would crush it, but lots my ass.

the machines, cards, dice don't care about or feel your attitude. Attitude can't change the outcome of gambling if you play properly everything will somehow work out. In the long run the odds and length of play will usually dictate what the outcome will be. Play -EV and long enough and -EV will come. Play +EV long enough and money will come. Life and gambling all averages out. The better situations you put yourself in, the more chances you have at success and visa versa.

Some people win forever, some people lose forever.

Some people get lucky and are born into a great life and live long. Some are born poor die tragically. Some people hit the lottery and win millions, some people hit hit by a car and are messed up forever. Some people work hard and are more likely to get everything they ever wanted, but life is a gamble and anything can happen.
♪♪Now you swear and kick and beg us That you're not a gamblin' man Then you find you're back in Vegas With a handle in your hand♪♪ Your black cards can make you money So you hide them when you're able In the land of casinos and money You must put them on the table♪♪ You go back Jack do it again roulette wheels turinin' 'round and 'round♪♪ You go back Jack do it again♪♪
mustangsally
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May 6th, 2014 at 11:23:34 AM permalink
Quote: longtimelancer

OK. So I am curious to learn how lucky I was Friday night at the Mirage.

you turned 10 units into 110 units ($200 and won $2000 for a new bankroll of $2200. 200 into 2200)
super!
as another pointed out - the best it could be would be 10/110 (or 220/2200)

but another thread you mentioned you made at least one DC bet with odds too.
"Actually, being drunk gave me the courage necessary to lay full odds on all of my don't pass bets.
I was also betting at least one don't come as well with full odds."

well, That changes everything

what do you think are your chances?

1 in 10 or better?
1 in 20
1 in 100
1 in 1000
1 in 1 million
Quote: longtimelancer

What are the chances of winning 100 units with a 10-unit bankroll on a 1-unit table laying full 3-4-5X odds on the don't?

Also, with 0 odds?

This is different from how you played

answer first
what do you think are the chances?
Sally
I Heart Vi Hart
longtimelancer
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May 6th, 2014 at 3:46:12 PM permalink
Quote: mustangsally


answer first
what do you think are the chances?
Sally



I was betting continuous don't come (and don't pass) with full 345 odds on a $15 dollar table. I won exactly $2055 with a bank roll of $200.

I will guess a 1 in 10 chance.

Why would it make a difference if I was betting don't come or only don't pass? I thought the only difference for my chances was in how long it takes to get there.
AxiomOfChoice
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May 6th, 2014 at 3:48:45 PM permalink
Quote: longtimelancer

I was betting continuous don't come (and don't pass) with full 345 odds on a $15 dollar table. I won exactly $2055 with a bank roll of $200.

I will guess a 1 in 10 chance.

Why would it make a difference if I was betting don't come or only don't pass? I thought the only difference for my chances was in how long it takes to get there.



Ok, if it was a fair game (ie, no edge) it would be 1 in 11. But, there is a house edge. Speed is important here because the less time you play, the less house edge and the more chance you have of achieving your goal. So, the odds are helpful there because (1) they get more money in action, and (2) they don't have a house edge.

I don't know how to figure this out combinatorially with the odds bet. Without the odds bet it's trivial; there is an equation for it. But it's certainly no more than 1 in 11.
beachbumbabs
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May 6th, 2014 at 4:47:32 PM permalink
Quote: AxelWolf

I want to point out that ATTITUDE really has nothing to do with gambling. Unless a bad attitude causes you to not play your best ( Like make mistakes on VP) or it makes you get foolish(bet more then you can deal with). Live poker others may pick up on emotion and it could affect you.

Sure attitude can affect how much fun you have while playing. Just don't fool yourself into thinking if you have a great attitude the cards will fall your way.

I have made some plays where i had a bad attitude thinking I was probably going to get my ass kicked, or never in a million years hit my target, but then won big. I have also played stuff I thought for sure I would crush it, but lots my ass.

the machines, cards, dice don't care about or feel your attitude. Attitude can't change the outcome of gambling if you play properly everything will somehow work out. In the long run the odds and length of play will usually dictate what the outcome will be. Play -EV and long enough and -EV will come. Play +EV long enough and money will come. Life and gambling all averages out. The better situations you put yourself in, the more chances you have at success and visa versa.

Some people win forever, some people lose forever.

Some people get lucky and are born into a great life and live long. Some are born poor die tragically. Some people hit the lottery and win millions, some people hit hit by a car and are messed up forever. Some people work hard and are more likely to get everything they ever wanted, but life is a gamble and anything can happen.



Axel,

This is a great post, especially from you now that I know you a little. You make some really important points here. Thanks.
If the House lost every hand, they wouldn't deal the game.
Buzzard
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May 6th, 2014 at 5:05:07 PM permalink
Once upon a time there was this TV western RAWHIDE. Eric Fleming had been beaten as a child and ran away from home as a kid Rough times. Then he was a Seabee and on a dare lifted a 200lb weight that fell on his face. Severe injuries and almost lost an eye.
But after facial reconstruction, he became an actor and had the lead as Gil Favor in Rawhide.

Clint Eastwood rode his bike across a Piedmont High School football field and tore up the turf. So instead he had to enroll in a Technical school, where a teacher interested him in acting. He played Rowdy Yates on Rawhide.

When that series was cancelled, Eric turned down a role in A Fistful of Dollars. MGM had offered him a starring role in High Jungle.
Fistful was to be filmed in a remote part of Spain but an unknown at the time Sergio Leone. Clint Eastwood took that offer.

High Jungle was to be filmed in Peru. During the final stages of shooting, Eric's dugout canoe overturned in the Huallaga River. Fleming was swept away by the current and drowned on September 28, 1966, he was 41 when he died. He had planned to marry and become a teacher when the film was completed. His will left money to his mother, his cousin and a friend. But specifically excluded his father from any bequest. He is buried on the grounds of the University of Peru in Lima, Peru.

I have no idea what became of Clint Eastwood !
Shed not for her the bitter tear Nor give the heart to vain regret Tis but the casket that lies here, The gem that filled it Sparkles yet
98Clubs
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May 6th, 2014 at 5:38:23 PM permalink
The Eleven (or Three) at $70. The chance of a win is 1 in 18.
Some people need to reimagine their thinking.
mustangsally
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May 6th, 2014 at 9:43:38 PM permalink
Quote: longtimelancer

I was betting continuous don't come (and don't pass) with full 345 odds on a $15 dollar table. I won exactly $2055 with a bank roll of $200.

that must have been so much fun!
i bet you can't wait to do it again.

But is that right?
That is why I hesitated.
You bought in for $200 and said you had a 10 unit bankroll. that would mean flat bets of $20

So your first bet was $15 and had $90 lay odds.
I gather the first $15 bet did not win or did it?

Because your second bet if it went right to a number required another $105
that = $105*2=$210

you must have won your first bet before making your second $90 odds bet?
or
how many odds did you actually give to the dealer for each bet?
Quote: longtimelancer

I will guess a 1 in 10 chance.

it was pointed out the best it could be = 200/2200 or 1 in 11
looks to be higher than 1 in 12.
just my opinion until I know how much you actually bet on the odds
Sally
I Heart Vi Hart
mustangsally
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May 6th, 2014 at 11:42:20 PM permalink
Quote: longtimelancer

What are the chances of winning 100 units with a 10-unit bankroll on a 1-unit table laying full 3-4-5X odds on the don't?

I simulated for speed but can also calculate this if the condition of ruin is defined as betting everything if bankroll does not support full odds and betting only what is needed to hit the win goal.
This may be way different from actual play where one just quits or grabs more money to continue and overshoots the win goal while always laying the max odds.

Simulation of Craps Don't Pass Wagers
Odds Multiplier . . . . = 3x, 4x, 5x
Session Bankroll . . . = 10.00
Win goal to quit session= 100.00
No. Sessions simulated = 1000000
------------------------------------
All bets are a single unit
------------------------------------
Simulation Results per Session
------------------------------------
Avg. No. games played . = 51.82
Avg. No. games won . . = 25.54
Avg. No. games lost . . = 26.28
Avg. No. games tied . . = 1.48
Avg. No. dice rolls . . = 179.87
Avg. Total amount bet . = 51.82
Avg. amount bet on Odds = 160.59
Bankroll was busted . . = 91.718% of the time ( 917183)
Win goal was met . . . = 8.282% of the time ( 82817) <<< about 1 in 12

Quote: longtimelancer

Also, with 0 odds?


For a 1 unit bet with 0 odds
goal: 1.5504075% (about 1 in 64.5)
ruin: 98.4495925%
avg # trials: 591.37082


But this really makes betting 0 odds look actually way way worse than laying the odds because the average bet between the two
is way different, so this is really not a fair comparison.

The average unit bet by the odds layer = 1/3 *1 + 2/3 *7 = 1/3 + 14/3 = 15/3 = 5 units

of course betting more of your bankroll increases the chance of hitting a target.
so betting 5 units of the 10 unit bankroll with 0 odds
goal: 6.7601617% (about 1 in 14.7925)
ruin: 93.2398383%
avg # trials: 36.55820

Sally
I Heart Vi Hart
longtimelancer
longtimelancer
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May 7th, 2014 at 4:15:30 PM permalink
I assume I started with just one don't pass with full odds and when I started to win, I bet the don't come as well. I suspect I was doing continuous don't come with full odds towards the end of my session.

I remember looking down and seeing an entire rail filled with green and I was starting to fill up the next rail.

Anyway, I guess my answer is 1 in 11 or 12 chance of doing what I did. I am still in disbelief! I easily paid for my whole trip!

Thanks for the answers.
teddys
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May 10th, 2014 at 9:32:52 AM permalink
Quote: Ahigh


Anecdotally I have seen two people simultaneously take $25 (plus vigs) to $8,000 (two final hits with $2,000 fours each -- pass limit was $1,000 and they still took a $2,000 four from two people at once) each with full pressure at the California Casino. They had to fetch more purples they won so much. Those were two happy campers.

When I was in New Mexico, I played modified full parlay on the four and ten since they don't take a vig: $25-$50-$100-$250-$500. Got one up to $250 if I recall before the seven out. Of course, at the last casino I went to, I didn't play that way and the guy threw like a million fours and tens. FML! :)
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
teddys
teddys
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May 10th, 2014 at 9:37:33 AM permalink
Quote: Buzzard

Once upon a time there was this TV western RAWHIDE. Eric Fleming had been beaten as a child and ran away from home as a kid Rough times. Then he was a Seabee and on a dare lifted a 200lb weight that fell on his face. Severe injuries and almost lost an eye.
But after facial reconstruction, he became an actor and had the lead as Gil Favor in Rawhide.

Clint Eastwood rode his bike across a Piedmont High School football field and tore up the turf. So instead he had to enroll in a Technical school, where a teacher interested him in acting. He played Rowdy Yates on Rawhide.

When that series was cancelled, Eric turned down a role in A Fistful of Dollars. MGM had offered him a starring role in High Jungle.
Fistful was to be filmed in a remote part of Spain but an unknown at the time Sergio Leone. Clint Eastwood took that offer.

High Jungle was to be filmed in Peru. During the final stages of shooting, Eric's dugout canoe overturned in the Huallaga River. Fleming was swept away by the current and drowned on September 28, 1966, he was 41 when he died. He had planned to marry and become a teacher when the film was completed. His will left money to his mother, his cousin and a friend. But specifically excluded his father from any bequest. He is buried on the grounds of the University of Peru in Lima, Peru.

I have no idea what became of Clint Eastwood !

Great ancedote, Buzz.
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
Ahigh
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May 11th, 2014 at 4:50:05 AM permalink
Teddy,

If you ever want to try this in Vegas, here's the exact cost on average for trying to get from $25 to a multiple of 3^n less the vig.

Three hours average wait time (324 rolls) and $100 cost seems reasonable to hit the $2025. You probably want a $4,000 bankroll minimum to take a shot.

#!/usr/bin/perl

$maxhits = 13;
print <<'EOF';

Each stage, once arrived, lasts on average 36/9 or 4 rolls.
Each roll there is a 1/3 chance of going to the next stage
Each roll there is a 2/3 chance of going back to stage 1
EOF

sub epb
{
my( $amt ) = @_;
my( $mod ) = $amt % 100;
my( $frac ) = $mod == $amt ? 1 : $mod / ( $amt - $mod );
my( $norm ) = (5/300) * ( 1 - $frac );
if( $mod == 25 || $mod == 50 )
{
return ( $norm + (1/75) * $frac );
}
elsif( $mod == 75 )
{
return ( $norm + (4/225) * $frac );
}
}

for( $i=1; $i<$maxhits; $i++ )
{
my( $amt ) = 25;
my( $frac ) = (2/3);
for( $j=1; $j<$i; $j++ )
{
$amt *= 3;
$frac *= (1/3);
}
$frac[$i] = $frac;
$amt[$i] = $amt;
$edge[$i] = (&epb($amt))/4;
$cost[$i] = (&epb($amt)*$amt)/4;
$cost2hit[$i] = (($i>1)?$cost2hit[$i-1]:0)+int(&epb($amt[$j]) * $amt[$j] * 3);
printf( "Stage%d: %d four %.6f%% * %d = \$%.4f per roll - frac %.4f\n",
$i, $amt, 100*$edge[$i], $amt, $cost[$i], $frac[$i] );
}

for( $i=2; $i<$maxhits; $i++ )
{
printf( "Cost of pressing \$25 to \$%d: ", $amt[$i] );
my( $cpr ) = 0;
my( $bet ) = 0;
for( $j=1; $j<$i; $j++ )
{
$cpr += $cost[$j] * $frac[$j];
$bet += $amt[$j] * $frac[$j];
}
$cpr += $cost[$i-1] * $frac[$i-1] * (1/3)*(3/2);
$bet += $amt[$i-1] * $frac[$i-1] * (1/3)*(3/2);

printf( "\$%.4f, ", $cpr );
printf( "bet \$%.4f, ", $bet );
printf( "edge %0.4f%%\n", 100*$cpr/$bet );

my( $coststr ) = "";
my( $nroll2hit ) = 1/(3**($i-1));

for( $j=1; $j<$i; $j++ )
{
$coststr .= " + " if( $coststr ne "" );
$coststr .= sprintf( "%.0f", &epb($amt[$j]) * $amt[$j] * 3 );
}

my $winrun = eval $coststr;
printf( "Total vig for winning run (minimum cost):\n *** $coststr = %s\n", $winrun );
printf( "Chance to hit is 1/%d\n", (3**($i-1)) );
printf( "Average cost to hit is \$%.4f over %d rolls = \$%.0f\n", $cpr, 4*(3**($i-1)), $cpr * 4*(3**($i-1)));

my $totalcost = $cpr * 4*(3**($i-1));
printf( "Compound edge is %d / %d = %0.4f%%\n", $totalcost, $amt[$i], 100 * $totalcost / $amt[$i] );
print "\n";
}


Quote: Output

Each stage, once arrived, lasts on average 36/9 or 4 rolls.
Each roll there is a 1/3 chance of going to the next stage
Each roll there is a 2/3 chance of going back to stage 1
Stage1: 25 four 0.333333% * 25 = $0.0833 per roll - frac 0.6667
Stage2: 75 four 0.444444% * 75 = $0.3333 per roll - frac 0.2222
Stage3: 225 four 0.406250% * 225 = $0.9141 per roll - frac 0.0741
Stage4: 675 four 0.420139% * 675 = $2.8359 per roll - frac 0.0247
Stage5: 2025 four 0.415625% * 2025 = $8.4164 per roll - frac 0.0082
Stage6: 6075 four 0.417014% * 6075 = $25.3336 per roll - frac 0.0027
Stage7: 18225 four 0.416552% * 18225 = $75.9166 per roll - frac 0.0009
Stage8: 54675 four 0.416705% * 54675 = $227.8334 per roll - frac 0.0003
Stage9: 164025 four 0.416654% * 164025 = $683.4167 per roll - frac 0.0001
Stage10: 492075 four 0.416671% * 492075 = $2050.3333 per roll - frac 0.0000
Stage11: 1476225 four 0.416665% * 1476225 = $6150.9167 per roll - frac 0.0000
Stage12: 4428675 four 0.416667% * 4428675 = $18452.8333 per roll - frac 0.0000
Cost of pressing $25 to $75: $0.0833, bet $25.0000, edge 0.3333%
Total vig for winning run (minimum cost):
*** 1 = 1
Chance to hit is 1/3
Average cost to hit is $0.0833 over 12 rolls = $1
Compound edge is 1 / 75 = 1.3333%

Cost of pressing $25 to $225: $0.1667, bet $41.6667, edge 0.4000%
Total vig for winning run (minimum cost):
*** 1 + 4 = 5
Chance to hit is 1/9
Average cost to hit is $0.1667 over 36 rolls = $6
Compound edge is 6 / 225 = 2.6667%

Cost of pressing $25 to $675: $0.2312, bet $58.3333, edge 0.3963%
Total vig for winning run (minimum cost):
*** 1 + 4 + 11 = 16
Chance to hit is 1/27
Average cost to hit is $0.2312 over 108 rolls = $25
Compound edge is 24 / 675 = 3.6991%

Cost of pressing $25 to $2025: $0.3024, bet $75.0000, edge 0.4032%
Total vig for winning run (minimum cost):
*** 1 + 4 + 11 + 34 = 50
Chance to hit is 1/81
Average cost to hit is $0.3024 over 324 rolls = $98
Compound edge is 97 / 2025 = 4.8380%

Cost of pressing $25 to $6075: $0.3713, bet $91.6667, edge 0.4050%
Total vig for winning run (minimum cost):
*** 1 + 4 + 11 + 34 + 101 = 151
Chance to hit is 1/243
Average cost to hit is $0.3713 over 972 rolls = $361
Compound edge is 360 / 6075 = 5.9403%

Cost of pressing $25 to $18225: $0.4409, bet $108.3333, edge 0.4070%
Total vig for winning run (minimum cost):
*** 1 + 4 + 11 + 34 + 101 + 304 = 455
Chance to hit is 1/729
Average cost to hit is $0.4409 over 2916 rolls = $1286
Compound edge is 1285 / 18225 = 7.0542%

Cost of pressing $25 to $54675: $0.5103, bet $125.0000, edge 0.4082%
Total vig for winning run (minimum cost):
*** 1 + 4 + 11 + 34 + 101 + 304 + 911 = 1366
Chance to hit is 1/2187
Average cost to hit is $0.5103 over 8748 rolls = $4464
Compound edge is 4463 / 54675 = 8.1644%

Cost of pressing $25 to $164025: $0.5797, bet $141.6667, edge 0.4092%
Total vig for winning run (minimum cost):
*** 1 + 4 + 11 + 34 + 101 + 304 + 911 + 2734 = 4100
Chance to hit is 1/6561
Average cost to hit is $0.5797 over 26244 rolls = $15215
Compound edge is 15214 / 164025 = 9.2758%

Cost of pressing $25 to $492075: $0.6492, bet $158.3333, edge 0.4100%
Total vig for winning run (minimum cost):
*** 1 + 4 + 11 + 34 + 101 + 304 + 911 + 2734 + 8201 = 12301
Chance to hit is 1/19683
Average cost to hit is $0.6492 over 78732 rolls = $51111
Compound edge is 51110 / 492075 = 10.3868%

Cost of pressing $25 to $1476225: $0.7186, bet $175.0000, edge 0.4106%
Total vig for winning run (minimum cost):
*** 1 + 4 + 11 + 34 + 101 + 304 + 911 + 2734 + 8201 + 24604 = 36905
Chance to hit is 1/59049
Average cost to hit is $0.7186 over 236196 rolls = $169735
Compound edge is 169735 / 1476225 = 11.4979%

Cost of pressing $25 to $4428675: $0.7881, bet $191.6667, edge 0.4112%
Total vig for winning run (minimum cost):
*** 1 + 4 + 11 + 34 + 101 + 304 + 911 + 2734 + 8201 + 24604 + 73811 = 110716
Chance to hit is 1/177147
Average cost to hit is $0.7881 over 708588 rolls = $558413
Compound edge is 558412 / 4428675 = 12.6090%



This will get you 5900 fold with less than 10% compound edge if you get lucky and see it in less than 100 rolls. A full day of play starting at a quarter will have you at max bet in most casinos. Until you get to a couple thousand on the felt, the cost is pretty cheap. But you will want an appropriate sized bankroll of at least twice of what you are hoping to hit, and stamina to last the average number of rolls to get there.
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mikeabiomed
mikeabiomed
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Joined: Feb 10, 2014
May 11th, 2014 at 6:13:29 AM permalink
Axel,

That was my point exactly. No one can predict the how the cards fall, how your health will be, or how one's career will evolve, or anything short of making it through the day, but I will relate to your first two paragraphs and try to separate gambling from a typical day in the life. Overall, optimistic people have better attitudes and cope with disappointment much easier knowing they can't change the world or the outcome. In no way was I trying to say that "a good attitude" would bring feeling into the cards, dice, etc. After 40+ years of gambling and seeing the highs and lows, I try to just choose the good attitude route win, lose or draw. After all, if your attitude is poor, why do it at all? Thanks for the post.

Mike
Reno Mike
Ahigh
Ahigh
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Joined: May 19, 2010
May 11th, 2014 at 3:22:09 PM permalink
Cost of pressing $25 to $225: $0.1667, bet $41.6667, edge 0.4000%
Total vig for winning run (minimum cost):
*** 1 + 4 = 5
Chance to hit is 1/9
Average cost to hit is $0.1667 over 36 rolls = $6
Compound edge is 6 / 225 = 2.6667%

A low edge way to, get a $194 profit from $25 (219/25) or 8.76x your initial buy-in:

start with above with 2.667% house edge. If you get that far, then $25 buy on the four and ten, $35 on the five and nine, $42 on the six and eight for a total of $204. Wait for first hit and take everything down, and you will have either $219+49 = $268 (4 or 10 hits).

The last leg is first leg of MP204. Cost for the last hit is $1 * (6/24) + $3.50 * ( 8/24 ) + $1.40 * ( 10/24 ) = $2 on average. Edge per resolution on last leg is 2 / ( 204 + 51 ) = 0.784313% after an average of 1.2 rolls.

Compound edge is then $8 / $268 = 2.98% to get to 268 / 25 = 10.72x

Curious if anyone else can come up with a strategy that gets a 10x or better return for a lower edge without using free bets.

Chance for hit on last leg is 24/30 or 80% of the time.

0.8/9 = 8.888% chance of success to get 10.72x return with 2.98% compound edge.

Almost 9 times out of 100 you can get just past 10x with less than a 3.00% compound edge. You have to give up that one in 100 chance to win a little bit more money ($18) and to pay the $7 to the house for the winning run. I think if you did accomplish this, $10 dealer hand in would be in order, which would bring the edge considerably, if you have more compassion than greed as a result of saving on your trip share a little.
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AxelWolf
AxelWolf
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Joined: Oct 10, 2012
May 12th, 2014 at 4:52:43 AM permalink
Quote: mikeabiomed

Axel,

That was my point exactly. No one can predict the how the cards fall, how your health will be, or how one's career will evolve, or anything short of making it through the day, but I will relate to your first two paragraphs and try to separate gambling from a typical day in the life. Overall, optimistic people have better attitudes and cope with disappointment much easier knowing they can't change the world or the outcome. In no way was I trying to say that "a good attitude" would bring feeling into the cards, dice, etc. After 40+ years of gambling and seeing the highs and lows, I try to just choose the good attitude route win, lose or draw. After all, if your attitude is poor, why do it at all? Thanks for the post.

Mike

I'm not saying one should have a bad attitude, I encourage a good attitude if you are playing something worth playing. I was only saying that a good attitude will not change the Math or your luck. A DI (if possible) player could argue that a bad attitude changes how they play. A poker player could also argue it affects things.

I just don't want to see someone OVER betting what they normally would because tonight they have a positive attitude. All amp'ed up and gungho firing off big bets. I have seen this far to many times with young collage kids all pumped up, usually they end up losing.
♪♪Now you swear and kick and beg us That you're not a gamblin' man Then you find you're back in Vegas With a handle in your hand♪♪ Your black cards can make you money So you hide them when you're able In the land of casinos and money You must put them on the table♪♪ You go back Jack do it again roulette wheels turinin' 'round and 'round♪♪ You go back Jack do it again♪♪
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