that is NOT what the dispute is about. Ask the Wizard was this againQuote:unJonWe must be using the word “average” differently. Here’s what I mean: Both players have the same EV. Nothing more.

""Hi, if person A makes 1000 consecutive bets on the pass line without backing up his bet, and person B makes 1000 consecutive bets on the pass line and he takes 100X odds whenever possible, doesn’t each person lose the same amount of money?

BLAKE HAAS FROM THOUSAND OAKS

answer: Yes"

Blake even added later in a different post it was NOT about %

actual average loss

I say most do not understand how powerful variance is

over 1k pass line wagers at 100x odds

here

one can see what happens as the odds go up

and the average loss goes down

8 craps players all at the same table

look and see their avg change of ending bankroll

I gave them 1 million betting units for each of the 1k sessions (so they could make every bet)

Simulation of Craps Pass Line Wagers

Odds Multiplier . . . . = 0

Avg (mean) end bankroll = 999985.89 (change of -14.11)

Odds Multiplier . . . . = 1

Avg (mean) end bankroll = 999985.92 (change of -14.08)

Odds Multiplier . . . . = 2

Avg (mean) end bankroll = 999985.95 (change of -14.05)

Odds Multiplier . . . . = 3x, 4x, 5x

Avg (mean) end bankroll = 999986.00 (change of -14.00)

Odds Multiplier . . . . = 5

Avg (mean) end bankroll = 999986.05 (change of -13.95)

Odds Multiplier . . . . = 10

Avg (mean) end bankroll = 999986.20 (change of -13.80)

Odds Multiplier . . . . = 20

Avg (mean) end bankroll = 999986.52 (change of -13.48)

Odds Multiplier . . . . = 100

Avg (mean) end bankroll = 999989.06 (change of -10.94)

the EV 'is all that matters"

folks

cant grasp the variance concept (they are in the majority)

just the ev

that is still better than most

data from all 8 simulations

Simulation of Craps Pass Line Wagers

Odds Multiplier . . . . = 0

Session Bankroll . . . = 1000000.00

Win goal to quit session= 1000000.00

Max. Decisions to quit = 1000

No. Sessions simulated = 1000000

Starting Random seed . = 54321

------------------------------------

All bets are a single unit

------------------------------------

Simulation Results per Session

------------------------------------

Avg. No. games played . = 1000.00

Avg. No. games won . . = 492.94

Avg. No. games lost . . = 507.06

Avg. No. dice rolls . . = 3375.71

Avg. Total amount bet . = 1000.00

Bankroll was busted . . = 0.000% of the time ( 0)

Win goal was met . . . = 0.000% of the time ( 0)

Bankroll decreased . . = 66.067% of the time

Bankroll increased . . = 31.637% of the time

Avg (mean) end bankroll = 999985.89 (change of -14.11)

Simulation of Craps Pass Line Wagers

Odds Multiplier . . . . = 1

Session Bankroll . . . = 1000000.00

Win goal to quit session= 1000000.00

Max. Decisions to quit = 1000

No. Sessions simulated = 1000000

Starting Random seed . = 54321

------------------------------------

All bets are a single unit

------------------------------------

Simulation Results per Session

------------------------------------

Avg. No. games played . = 1000.00

Avg. No. games won . . = 492.94

Avg. No. games lost . . = 507.06

Avg. No. dice rolls . . = 3375.71

Avg. Total amount bet . = 1000.00

Avg. amount bet on Odds = 666.65

Bankroll was busted . . = 0.000% of the time ( 0)

Win goal was met . . . = 0.000% of the time ( 0)

Bankroll decreased . . = 59.303% of the time

Bankroll increased . . = 40.635% of the time

Avg (mean) end bankroll = 999985.92 (change of -14.08)

Simulation of Craps Pass Line Wagers

Odds Multiplier . . . . = 2

Session Bankroll . . . = 1000000.00

Win goal to quit session= 1000000.00

Max. Decisions to quit = 1000

No. Sessions simulated = 1000000

Starting Random seed . = 54321

------------------------------------

All bets are a single unit

------------------------------------

Simulation Results per Session

------------------------------------

Avg. No. games played . = 1000.00

Avg. No. games won . . = 492.94

Avg. No. games lost . . = 507.06

Avg. No. dice rolls . . = 3375.71

Avg. Total amount bet . = 1000.00

Avg. amount bet on Odds = 1333.30

Bankroll was busted . . = 0.000% of the time ( 0)

Win goal was met . . . = 0.000% of the time ( 0)

Bankroll decreased . . = 56.190% of the time

Bankroll increased . . = 43.726% of the time

Avg (mean) end bankroll = 999985.95 (change of -14.05)

Simulation of Craps Pass Line Wagers

Odds Multiplier . . . . = 3x, 4x, 5x

Session Bankroll . . . = 1000000.00

Win goal to quit session= 1000000.00

Max. Decisions to quit = 1000

No. Sessions simulated = 1000000

Starting Random seed . = 54321

------------------------------------

All bets are a single unit

------------------------------------

Simulation Results per Session

------------------------------------

Avg. No. games played . = 1000.00

Avg. No. games won . . = 492.94

Avg. No. games lost . . = 507.06

Avg. No. dice rolls . . = 3375.71

Avg. Total amount bet . = 1000.00

Avg. amount bet on Odds = 2777.69

Bankroll was busted . . = 0.000% of the time ( 0)

Win goal was met . . . = 0.000% of the time ( 0)

Bankroll decreased . . = 53.509% of the time

Bankroll increased . . = 46.238% of the time

Avg (mean) end bankroll = 999986.00 (change of -14.00)

Simulation of Craps Pass Line Wagers

Odds Multiplier . . . . = 5

Session Bankroll . . . = 1000000.00

Win goal to quit session= 1000000.00

Max. Decisions to quit = 1000

No. Sessions simulated = 1000000

Starting Random seed . = 54321

------------------------------------

All bets are a single unit

------------------------------------

Simulation Results per Session

------------------------------------

Avg. No. games played . = 1000.00

Avg. No. games won . . = 492.94

Avg. No. games lost . . = 507.06

Avg. No. dice rolls . . = 3375.71

Avg. Total amount bet . = 1000.00

Avg. amount bet on Odds = 3333.24

Bankroll was busted . . = 0.000% of the time ( 0)

Win goal was met . . . = 0.000% of the time ( 0)

Bankroll decreased . . = 53.058% of the time

Bankroll increased . . = 46.839% of the time

Avg (mean) end bankroll = 999986.05 (change of -13.95)

Simulation of Craps Pass Line Wagers

Odds Multiplier . . . . = 10

Session Bankroll . . . = 1000000.00

Win goal to quit session= 1000000.00

Max. Decisions to quit = 1000

No. Sessions simulated = 1000000

Starting Random seed . = 54321

------------------------------------

All bets are a single unit

------------------------------------

Simulation Results per Session

------------------------------------

Avg. No. games played . = 1000.00

Avg. No. games won . . = 492.94

Avg. No. games lost . . = 507.06

Avg. No. dice rolls . . = 3375.71

Avg. Total amount bet . = 1000.00

Avg. amount bet on Odds = 6666.48

Bankroll was busted . . = 0.000% of the time ( 0)

Win goal was met . . . = 0.000% of the time ( 0)

Bankroll decreased . . = 51.658% of the time

Bankroll increased . . = 48.232% of the time

Avg (mean) end bankroll = 999986.20 (change of -13.80)

Simulation of Craps Pass Line Wagers

Odds Multiplier . . . . = 20

Session Bankroll . . . = 1000000.00

Win goal to quit session= 1000000.00

Max. Decisions to quit = 1000

No. Sessions simulated = 1000000

Starting Random seed . = 54321

------------------------------------

All bets are a single unit

------------------------------------

Simulation Results per Session

------------------------------------

Avg. No. games played . = 1000.00

Avg. No. games won . . = 492.94

Avg. No. games lost . . = 507.06

Avg. No. dice rolls . . = 3375.71

Avg. Total amount bet . = 1000.00

Avg. amount bet on Odds = 13332.96

Bankroll was busted . . = 0.000% of the time ( 0)

Win goal was met . . . = 0.000% of the time ( 0)

Bankroll decreased . . = 50.862% of the time

Bankroll increased . . = 49.012% of the time

Avg (mean) end bankroll = 999986.52 (change of -13.48)

Simulation of Craps Pass Line Wagers

Odds Multiplier . . . . = 100

Session Bankroll . . . = 1000000.00

Win goal to quit session= 1000000.00

Max. Decisions to quit = 1000

No. Sessions simulated = 1000000

Starting Random seed . = 54321

------------------------------------

All bets are a single unit

------------------------------------

Simulation Results per Session

------------------------------------

Avg. No. games played . = 1000.00

Avg. No. games won . . = 492.94

Avg. No. games lost . . = 507.06

Avg. No. dice rolls . . = 3375.71

Avg. Total amount bet . = 1000.00

Avg. amount bet on Odds = 66664.80

Bankroll was busted . . = 0.000% of the time ( 0)

Win goal was met . . . = 0.000% of the time ( 0)

Bankroll decreased . . = 50.229% of the time

Bankroll increased . . = 49.747% of the time

Avg (mean) end bankroll = 999989.06 (change of -10.94)

was that not Jimmy 'the Greek” Snyder 1st. He is very well known (or at least was)Quote:DeMango7Craps; Correct if wrong, I think we are walking into John Patrick territory who espoused never laying odds.

nice catch.Quote:DeMangoYour sim seems to say, the more you lay, the more you lose.

and that should be correct as you CAN lose more betting more.

It was a simulation of 1000 dpass wagers in a session done 1 million times.

interesting that player lost so much over 1 Billion wagers. (variance still rules at times over ev)

I doubt any would consider that to be normal (or close to it)

there is lots of variance using 100x lay odds as there is with 100x taking odds.

I might during some basketball tonite do the same with 8 dpass players at the same table and see what we get.

many have and still do say, "stay away from laying the odds"

up to them, I just say "watch out for variance"

Quote:DeMango7Craps; Correct if wrong, I think we are walking into John Patrick territory who espoused never laying odds. Your sim seems to say, the more you lay, the more you lose.

I think the sims were all done for the players on the same rolls. So all the odds bets will be perfectly correlated. So if over all the sims the odds bets were losers, then it would necessarily follow the pattern that the more odds taken the more lost. And the reverse would be true if the odds bets were aggregate winners over the course of the simulation.

It does seem that the sims provided so far all show odds bets as losers over the course of all the sims. I assume that’s just negative variance, since in any given sim the odds bets should be as likely to win money as to lose money.

My view is no one should be dumb enough to ask “if I bet $1 and someone else bets $101, are we gonna lose the same amount?” and expect Wizard or some mathematician to be like, “Good thing you asked! I can tell the future....”

now for DeMango and interested bystandersQuote:7crapsIt was a simulation of 1000 dpass wagers in a session done 1 million times.

interesting that player lost so much over 1 Billion wagers. (variance still rules at times over ev)

I doubt any would consider that to be normal (or close to it)

there is lots of variance using 100x lay odds as there is with 100x taking odds.

100x odds player only lost $8.89 million

while his friend 0 odds lost $13.57 million

(not for the ev believers that say,

with NO hesitation,

both players WILL lose the same amount of money after 1000 pass line wagers. Remember the Wizard answer to that question was a flat out YES.)

recall

ev= -3/220*$1*1Billion

they did not come close to losing the same amount of actual money.

another sim for the dpass players

1 BILLION bets

Simulation of Craps Don't Pass Wagers

Odds Multiplier . . . . = 0

Bankroll decreased . . = 66.202% of the time

Bankroll increased . . = 32.611% of the time

Avg (mean) end bankroll = 999986.43 (change of -13.57)

Simulation of Craps Don't Pass Wagers

Odds Multiplier . . . . = 100

Bankroll decreased . . = 50.030% of the time

Bankroll increased . . = 49.957% of the time

Avg (mean) end bankroll = 999991.11 (change of -8.89)

data

Simulation of Craps Don't Pass Wagers

Odds Multiplier . . . . = 0

Session Bankroll . . . = 1000000.00

Win goal to quit session= 1000000.00

Max. Decisions to quit = 1000

No. Sessions simulated = 1000000

Starting Random seed . = 246810

------------------------------------

All bets are a single unit

------------------------------------

Simulation Results per Session

------------------------------------

Avg. No. games played . = 1000.00

Avg. No. games won . . = 479.33

Avg. No. games lost . . = 492.90

Avg. No. games tied . . = 27.77

Avg. No. dice rolls . . = 3375.98

Avg. Total amount bet . = 972.23

Bankroll was busted . . = 0.000% of the time ( 0)

Win goal was met . . . = 0.000% of the time ( 0)

Bankroll decreased . . = 66.202% of the time

Bankroll increased . . = 32.611% of the time

Avg (mean) end bankroll = 999986.43 (change of -13.57)

Simulation of Craps Don't Pass Wagers

Odds Multiplier . . . . = 100

Session Bankroll . . . = 1000000.00

Win goal to quit session= 1000000.00

Max. Decisions to quit = 1000

No. Sessions simulated = 1000000

Starting Random seed . = 246810

------------------------------------

All bets are a single unit

------------------------------------

Simulation Results per Session

------------------------------------

Avg. No. games played . = 1000.00

Avg. No. games won . . = 479.33

Avg. No. games lost . . = 492.90

Avg. No. games tied . . = 27.77

Avg. No. dice rolls . . = 3375.98

Avg. Total amount bet . = 972.23

Avg. amount bet on Odds = 100001.02

Bankroll was busted . . = 0.000% of the time ( 0)

Win goal was met . . . = 0.000% of the time ( 0)

Bankroll decreased . . = 50.030% of the time

Bankroll increased . . = 49.957% of the time

Avg (mean) end bankroll = 999991.11 (change of -8.89)

from the OP

"Hi, if person A makes 1000 consecutive bets on the pass line without backing up his bet, and person B makes 1000 consecutive bets on the pass line and he takes 100X odds whenever possible, doesn’t each person lose the same amount of money?

BLAKE HAAS FROM THOUSAND OAKS

The Wizard answers

Yes.

https://wizardofvegas.com/forum/gambling/craps/8329-craps-pass-no-odds-or-pass-100x-odds-same-loss-revisited/#post123111

the Ask the Wizard asker (jamminbeh)

replied in another thread and says this, that is actually not right, not correct.

a total misunderstanding what variance is all about

"if $5 was bet on the pass line every time,

you will lose the same amount (not percentage) of money on average whether you back the bet up or not.

Backing the bet up has no house edge and no player edge,

so it won't affect the amount of money won or lost.

That's all the wizard was saying and that's all I was asking about."

"

what last 50 pagers? you mean 50 posts?Quote:RSSo basically the last 50 pages are based on how you interpret the question.

what do you mean exactly?

and what IS there to interpret in the question

"Hi, if person A makes 1000 consecutive bets on the pass line without backing up his bet, and person B makes 1000 consecutive bets on the pass line and he takes 100X odds whenever possible, doesn’t each person lose the same amount of money?

BLAKE HAAS FROM THOUSAND OAKS

The Wizard answers

Yes.

actual answer would be something like this from simulation data

only about 1 in 5000 sessions would they actually lose the same amount of money. 1000 wagers for the 100x odds player is way too low to have the -ev totally swamp the standard deviation. so no they do not lose the same amount of money most attempts (4999 out of 5000)

for future finders of this properly worded question (from Ask the Wizard)

good luck understanding all the hidden meanings and messages and

interpreting the question

LOL

Quote:AsheThank you all for your help. I believe I am coming to see how it works. Appreciate your time and efforts!

All the books about craps that I read when I was learning said the same thing about line bets/odds, combining the house edge on the total bet handle. It's correct, but very misleading. The fact is that, although you must make a line bet to take or lay odds, they are still separate bets, one with a 1.4% edge, the other with no edge. Therefore, the expectation is no different, whether a player takes/lays odds or not.

pass line: $5 bet, expected loss $.0707

pass line plus odds: $5 bet, $10 odds, expected loss $.0707

pass line plus odds: $5 bet, $50 odds, expected loss $.0707

This is why expectation is a clearer way to express this than edge.

So, why take or lay odds? To increase variance (volatility), which is the only thing that gives a player a chance to win (some of the time). Taking or laying odds means that players will win and lose more, depending on their luck.

Risk of ruin depends on initial bankroll and volatility, so you need a larger bankroll to stay at the table if you're making odds bets than if you're not; OTOH, if your luck is good, you will win more by taking/laying odds. Here's an illustration:

for 60 $5 pass bets, the expected loss is $4.24, standard deviation $38.73. You have about a 70% chance of ending up between $35 ahead and $43 behind, and you have about a 45% probability of being even or ahead.

for 60 $5 pass bets taking 3,4,5 times odds, the expectation is still -$4.24, but the standard deviation is $190.37, so you have about a 70% chance to come out between $186 ahead and $195 behind, with about a 49% chance of being even or ahead.

for 60 pass bets taking 10X odds, same expectation, but SD $418.63, so 70% chance of ending up between $414 ahead and $423 behind. The probability of being even or ahead goes up to .496.

The more volatility, the less lucky you have to be (defined as positive variance) to overcome the expected loss. OTOH, the more volatility, the more you will lose if your variance is on the negative side.

Cheers,

Alan Shank

P S I am still alive!

Quote:goatcabinAll the books about craps that I read when I was learning said the same thing about line bets/odds, combining the house edge on the total bet handle. It's correct, but very misleading. The fact is that, although you must make a line bet to take or lay odds, they are still separate bets, one with a 1.4% edge, the other with no edge. Therefore, the expectation is no different, whether a player takes/lays odds or not.

pass line: $5 bet, expected loss $.0707

pass line plus odds: $5 bet, $10 odds, expected loss $.0707

pass line plus odds: $5 bet, $50 odds, expected loss $.0707

This is why expectation is a clearer way to express this than edge.

So, why take or lay odds? To increase variance (volatility), which is the only thing that gives a player a chance to win (some of the time). Taking or laying odds means that players will win and lose more, depending on their luck.

Risk of ruin depends on initial bankroll and volatility, so you need a larger bankroll to stay at the table if you're making odds bets than if you're not; OTOH, if your luck is good, you will win more by taking/laying odds. Here's an illustration:

for 60 $5 pass bets, the expected loss is $4.24, standard deviation $38.73. You have about a 70% chance of ending up between $35 ahead and $43 behind, and you have about a 45% probability of being even or ahead.

for 60 $5 pass bets taking 3,4,5 times odds, the expectation is still -$4.24, but the standard deviation is $190.37, so you have about a 70% chance to come out between $186 ahead and $195 behind, with about a 49% chance of being even or ahead.

for 60 pass bets taking 10X odds, same expectation, but SD $418.63, so 70% chance of ending up between $414 ahead and $423 behind. The probability of being even or ahead goes up to .496.

The more volatility, the less lucky you have to be (defined as positive variance) to overcome the expected loss. OTOH, the more volatility, the more you will lose if your variance is on the negative side.

Cheers,

Alan Shank

P S I am still alive!

Bold mine. Answer is BS in my opinion. Why take odds? Because you are in a casino playing craps, so obviously the type of person ok making a negative EV bet. If you are at the table playing negative EV, you should be encouraged to sped your “gambling money” on bets that are less negative. The odds bet is exactly that bet.

Spend you bankroll, that you’ve self selected as being willing to risk on a negative EV PL or DP, instead on the odds bet. Why is this so difficult to accept?

Quote:unJonQuote:goatcabinAll the books about craps that I read when I was learning said the same thing about line bets/odds, combining the house edge on the total bet handle. It's correct, but very misleading. The fact is that, although you must make a line bet to take or lay odds, they are still separate bets, one with a 1.4% edge, the other with no edge. Therefore, the expectation is no different, whether a player takes/lays odds or not.

pass line: $5 bet, expected loss $.0707

pass line plus odds: $5 bet, $10 odds, expected loss $.0707

pass line plus odds: $5 bet, $50 odds, expected loss $.0707

This is why expectation is a clearer way to express this than edge.

So, why take or lay odds? To increase variance (volatility), which is the only thing that gives a player a chance to win (some of the time). Taking or laying odds means that players will win and lose more, depending on their luck.

Risk of ruin depends on initial bankroll and volatility, so you need a larger bankroll to stay at the table if you're making odds bets than if you're not; OTOH, if your luck is good, you will win more by taking/laying odds. Here's an illustration:

for 60 $5 pass bets, the expected loss is $4.24, standard deviation $38.73. You have about a 70% chance of ending up between $35 ahead and $43 behind, and you have about a 45% probability of being even or ahead.

for 60 $5 pass bets taking 3,4,5 times odds, the expectation is still -$4.24, but the standard deviation is $190.37, so you have about a 70% chance to come out between $186 ahead and $195 behind, with about a 49% chance of being even or ahead.

for 60 pass bets taking 10X odds, same expectation, but SD $418.63, so 70% chance of ending up between $414 ahead and $423 behind. The probability of being even or ahead goes up to .496.

The more volatility, the less lucky you have to be (defined as positive variance) to overcome the expected loss. OTOH, the more volatility, the more you will lose if your variance is on the negative side.

Cheers,

Alan Shank

P S I am still alive!

Bold mine. Answer is BS in my opinion. Why take odds? Because you are in a casino playing craps, so obviously the type of person ok making a negative EV bet. If you are at the table playing negative EV, you should be encouraged to sped your “gambling money” on bets that are less negative. The odds bet is exactly that bet.

Spend you bankroll, that you’ve self selected as being willing to risk on a negative EV PL or DP, instead on the odds bet. Why is this so difficult to accept?

Congratulations! You have managed to completely mis-interpret my post!

Cheers,

Alan Shank