questions of baccarat bank advantage question of different rules

hi, Guys,

on barccarat, i know traditional one(5% commision betting on banker), betting on bankers, the casino's adnvatage is 1.06%.

while EZ Baccarat, no commision, banker winning of 3 cards of 7 points will be push, the nthe casino's adnvatage is 1.02 %
£¨here are copy from wizard of odd.Introduction
I first saw EZ Baccarat on July 3, 2004, at the Plaza in Las Vegas. Since then it has picked up many more placements and has become one of the most popular baccarat variants.

Rules
The rules followed standard baccarat except on the Banker bet: (1) all wins pay even money, and (2) if the banker wins with a three-card total of 7, then the banker bet will push. There are a couple of side bets added, the Dragon 7 and Panda 8, which are explained below.

The following table shows the possible outcomes of the Banker bet, based on eight decks. The lower right cell shows a house edge of 1.02%)


in macao, years ago, we have no commision baccarat, but it when banker wins at 6 points, we win only half bet. like we put 100 USD, we win only 50 usd. the 100 usd is still ours.

what is the casion's advantage on this?

it is a big maths question?

but i am sure there are smart expert who can give a good answer.

Quote: tomchina123

hi, Guys,

on barccarat, i know traditional one(5% commision betting on banker), betting on bankers, the casino's adnvatage is 1.06%.

while EZ Baccarat, no commision, banker winning of 3 cards of 7 points will be push, the nthe casino's adnvatage is 1.02 %
¡ê¡§here are copy from wizard of odd.Introduction
I first saw EZ Baccarat on July 3, 2004, at the Plaza in Las Vegas. Since then it has picked up many more placements and has become one of the most popular baccarat variants.

Rules
The rules followed standard baccarat except on the Banker bet: (1) all wins pay even money, and (2) if the banker wins with a three-card total of 7, then the banker bet will push. There are a couple of side bets added, the Dragon 7 and Panda 8, which are explained below.

The following table shows the possible outcomes of the Banker bet, based on eight decks. The lower right cell shows a house edge of 1.02%)


in macao, years ago, we have no commision baccarat, but it when banker wins at 6 points, we win only half bet. like we put 100 USD, we win only 50 usd. the 100 usd is still ours.

what is the casion's advantage on this?

it is a big maths question?

but i am sure there are smart expert who can give a good answer.

now i found the answer in wizard:
https://wizardofodds.com/games/baccarat/appendix/6/#toc-EZBaccarat
U.K. Variant
This variant of baccarat follows the conventional rules, except a winning banker bets pays even money, except 1 to 2 (half) on a winning total of six. The house edge on the player and tie bets are the same as regular baccarat. The house edge on the banker bet is 1.46%. This game is called "Punto Banco 2000" in England, and just "Commission Free Baccarat" in the United States.

so it is 1.46%.

Quote: tomchina123

hi, Guys,

on barccarat, i know traditional one(5% commision betting on banker), betting on bankers, the casino's adnvatage is 1.06%.

while EZ Baccarat, no commision, banker winning of 3 cards of 7 points will be push, the nthe casino's adnvatage is 1.02 %
¡ê¡§here are copy from wizard of odd.Introduction
I first saw EZ Baccarat on July 3, 2004, at the Plaza in Las Vegas. Since then it has picked up many more placements and has become one of the most popular baccarat variants.

Rules
The rules followed standard baccarat except on the Banker bet: (1) all wins pay even money, and (2) if the banker wins with a three-card total of 7, then the banker bet will push. There are a couple of side bets added, the Dragon 7 and Panda 8, which are explained below.

The following table shows the possible outcomes of the Banker bet, based on eight decks. The lower right cell shows a house edge of 1.02%)


in macao, years ago, we have no commision baccarat, but it when banker wins at 6 points, we win only half bet. like we put 100 USD, we win only 50 usd. the 100 usd is still ours.

what is the casion's advantage on this?

it is a big maths question?

but i am sure there are smart expert who can give a good answer.

now i found the answer in wizard:
https://wizardofodds.com/games/baccarat/appendix/6/#toc-EZBaccarat
U.K. Variant
This variant of baccarat follows the conventional rules, except a winning banker bets pays even money, except 1 to 2 (half) on a winning total of six. The house edge on the player and tie bets are the same as regular baccarat. The house edge on the banker bet is 1.46%. This game is called "Punto Banco 2000" in England, and just "Commission Free Baccarat" in the United States.

so it is 1.46%.

now, let me ask another question:

in ezbaccarat,

dragon 7 is 1:40. house edge of 7.61%. does it mean that every 44.3771 hand,, there is a dragon 7,( i figure the 44.3771 out by some hours, not sure right. it is more like middle school math:
chance to lose-chance to win*pays/total=house edge
total=chance to lose+chance to win.
for example: roulette: 36-1*35/37=2.7%. 36+1=37
maybe you will think i am making it too complicated, but you see, for some thing difficult, we need to use this fomula: like for sic bo, for 3 dices, number 4, it is 3 combinations: 112,121,211. it is paid 1:50. what is the house edge?
if we use the formula:
(216-3)-(3*50)/216=0.291667
Any triple, combinations of 6:
(216-6)-(6*24)/216=0.305556
i checked many columns from http://wizardofmacau.com/games/sicbo.html.
so the formula is right.
chance to lose-chance to win*pays/total=house edge
total=chance to lose+chance to win.
now dragon house edge is 7.6%.
let's say total is X.
(x-1)-(1*40)/x=7.61%
x=44.3771)

so in 44.3771 hand, there is a dragon 7.

1) i play 5 % bacarrate, i play and win banker 44.3771 hands, then i pay 5%*44.3771 =2.22 units as commision.
2) i play ez baccarat, i play and win banker 44.3771 hands, there is one dragan 7. then a push, that risked loss(less income) is 1 unit.

then the house edge should be lower than 1.02? because we give much less commision to house.

now i found one answer to above in wizardof odds.
Dragon 7
EVENT PAYS COMBINATIONS PROBABILITY RETURN
Win 40 112,633,011,329,024 0.022534 0.901353

the probablity is 0.022534. then in every 100. hands, there is 44.3774 which is dragon 7. like the x of above post.

wow, many of my post becomes to show what i am doing.

anyway, let me go on.

for traditional baccarat:
banker bet house edge: 1.06%
player bet house edge: 1.46,
if no commission, Banker 6 wins, half paid:
banker bet: house edge 1.24,
player bet, the same.

i did the calculation by doc:
data from here:
https://wizardofodds.com/games/baccarat/1000-baccarat-shoes-8-deck.txt
1000 randomly generated baccarat shoes. The shoe contained eight decks and was dealt until the number of cards remaining in the shoe was less than 6.

i copy the result first:
Totals all Shoes
Banker Wins = 38384 0.458919
Player Wins = 37356 0.446628
Tie Wins = 7900 0.0944524

here i analyze:
it is 83640 hands.

if bet on banker all the time,
i win:
38384-37356=1028 units, commission paid: 38384*0.05=1919.2 units.
at last, i lose 1028-1919.2=891.2.units
house edge: 891.2/83640 hands=1.0655%.

if i bet on play all the time,
at last, i lost:
37356-38384=-1028 units,
house edge: 1028/83640 hands=1.229%.

it is right.

by no commission baccarat,
for B 6 wins, only pays half.
within the 83640 hands, B 6 wins by 4435 hands.
if bet on banker all the time,
i win:
38384-4435-37356=-3407 units,
with it, for the 4435 hands, i should get half: 2217.5
2217.5-3407=-1189.5
house edge: 1189.5/83640 hands=1.422%.

it is also right.

for why dragon 7, banker bet, house edge 1.02%. because nobody is answering, i will do it by myself and show it to all guys in the forum.

by the way,1 why did the analyze like above. because in first 500 shoes using eight decks, 41840 hands, banker bet: house edge: 1.32%, play bet, house edge: 0.97% .though after 1000 shoes,83640 hands, it is 1.0655%.and 1.229%. and then i thought public knowledge maybe wrong. but after 1000 shoes, it is right.
it is also showing law of big numbers is right only by huge samples.

by the way 2:
on dragon 7, as i read it by eyes, it seems. 007 is the most. then why is by the counting: 7=-1, T=0? it seems 7 is the best. maybe 7 should be -2?

for dragon 7 baccarat, house edge on dragon 7 bet is 7.61%., on banker. 1.02%

there it is a result from 1000 shoes. 83640 hands. linker in above post:
Totals all Shoes
Banker Wins = 38384 0.458919
Player Wins = 37356 0.446628
Tie Wins = 7900 0.0944524

by theory, there is 83640/44.3771 =1884.76 dragon 7
by reality it is 1855 (7 points wins by 6301 hands, within it, 2 cards: 4446, 3 cards, 1855)

dragon 7 bet, house edge: 81785-1855*40/83640=9.07%¡£so more than 7.61% by the small sample.

banker bet: 38384-37356-1855=-827/83640=0.98876%.

so my first point of lower than 1.02% is right by this 1000 shoes as small sample.

thanks for reading if you are.