
Aug 20, 2021
Session Buy-In Matters
If I started a (PL, no odds) session with a 25 unit buy-in,I'd have a 48.90% win rate on getting to 40 units (+15 units),
a 32.96% win rate on getting to 50 units (+25 units),
a 23% win rate on getting to 60 units (+35 units),
and a 10.16% win rate on getting to 85 units (+60 units).
If I started a (PL, no odds) session with a 15 unit buy-in,
I'd have a 51.37% win rate on getting to 25 units (+10 units),
a 31.2% win rate on getting to 35 units (+20 units),
a 25.12% win rate on getting to 40 units (+25 units),
and a 9.96% win rate on getting to 65 units (+50 units).
If I started a (PL, no odds) session with a 10 unit buy-in,
I'd have a 52.92% win rate on getting to 17 units (+7 units),
a 33.61% win rate on getting to 24 units (+14 units),
a 23.26% win rate on getting to 31 units (+21 units),
and a 9.72% win rate on getting to 52 units (+42 units).
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https://wizardofvegas.com/forum/gambling/betting-systems/36319-the-odds/2/#post819557
Quote: mwalz9
Playing any of the close to 50/50 games...craps line bets, roulette even money bets, blackjack, baccarat or Pai Gow Poker, what are the odds you win your $100 before losing $10,000?
Say you bet $50 units. No crazy systems like Martingale, Oscar's Grind, etc...
Just betting normally.
Surely you can be up 2 units before you're down 200?
Quote: ThatDonGuy
This is what is known as "Risk of Ruin" - in flat betting, what is the probability of reaching a certain target before losing your entire bankroll. In this case, the initial bankroll is 200, and the target is 202.
I believe the formula is (1 - (q/p)^B) / (1 - (q/p)^T), where p is the probability of winning one bet, q is the probability of losing one bet (i.e. 1 - p), B is the initial bankroll, and T is the target.
For the pass line on craps, p = about 0.4929 and q = about 0.5071, so q/p = about 1.02881, and with B = 200 and T = 202, the probability of success is 94.46%.
For the even-money bets on double-zero roulette, q/p = 10/9, and the probability of success is 81%. Yes, one time out of five, you will lose the entire $10,000 before being ahead $100.
This is because the more bets you need to make to win, the more money you expose to the house edge. You would be much better off with $100 bets instead of $50; the chance of success is now 90% in roulette.

Aug 17, 2021
Black Orchid High Limit Slot Progressive
Big Jackpot Wins on Black Orchid High Limit Slot Progressive - YouTube - Slots N-Stuffhttps://www.youtube.com/watch?v=ZC6ci5v4R2U
"** Note: All play is recorded on a personally owned full size IGT slot machine. I do not represent a casino or manufacturer and all play is just for fun, and not for real money. Games are also set at a maximum payout of 96-98% as per the maximum amount allowable for each game. Always play responsibly as gambling is not a way to make money and is for entertainment purposes only."
I thought something was up when hand pays were $200,000 on up. There's some multi-million dollar winner hand pays in this video. Each pull is $49,500, and each buy-in is half a million. Just getting ready for that crazy inflation everybody is talking about.

Aug 14, 2021
WSOP Vaccination Rules - YT podcast
WSOP Vaccination Rules, GG on WSOP, Voicemails - DAT Poker Podcast Episode #106 - Daniel Negreanuhttps://www.youtube.com/watch?v=RcqUNBL67OM

Aug 13, 2021
Baccarat and the 5% vig
So if I win 40 Banker bets and lose 40 Player bets in one shoe, my table minimum bet is $25, my total winning bets are $1,000 x 95% = $950, and I have 40 Player losses of -$1,000, so my net is -$50, or -2 bets in that shoe.Same shoe but I bet Player: I win 40 x $25 = $1,000 and lose 40 x $25 = $1,000 for a net of $0, break even.
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If I win 40 Banker bets and lose 39 Player bets in one shoe, my table minimum bet is $25, my total winning bets are $1,000 x 95% = $950, and I have 39 Player losses of -$975, so my net is -$25, or -1 bet in that shoe.
Same shoe but I bet Player: I win 39 x $25 = $975 and lose 40 x $25 = $1,000 for a net of -$25, or -1 bet in that shoe.
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If I win 40 Banker bets and lose 38 Player bets in one shoe, my table minimum bet is $25, my total winning bets are $1,000 x 95% = $950, and I have 38 Player losses of -$950, so my net is $0, break even.
Same shoe but I bet Player: I win 38 x $25 = $950 and lose 40 x $25 = $1,000 for a net of -$50, or -2 bets in that shoe.
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Playing 20 shoes plus extra cards to exclude the ties, with no bias from the WOO calculations. 20 shoes x 80 hands = 1600 hands. Working with my $1,000 buy-in.
So if I win 800 Banker bets and lose 800 Player bets in 20 shoes, my table minimum bet is $25, my total winning bets are $20,000 x 95% = $19,000, and I have 800 Player losses of -$20,000, so my net is -$1,000, or -40 bets in that session.
Same 20 shoes but I bet Player: I win 800 x $25 = $20,000 and lose 800 x $25 = $20,000 for a net of $0, break even.
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If I win 800 Banker bets and lose 780 Player bets in 20 shoes, my table minimum bet is $25, my total winning bets are $20,000 x 95% = $19,000, and I have 780 Player losses of -$19,500, so my net is -$500, or -20 bets in that session.
Same 20 shoes but I bet Player: I win 780 x $25 = $19,500 and lose 800 x $25 = $20,000 for a net of -$500, or -20 bets in that session.
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If I win 800 Banker bets and lose 760 Player bets in 20 shoes, my table minimum bet is $25, my total winning bets are $20,000 x 95% = $19,000, and I have 760 Player losses of -$19,000, so my net is $0, break even.
Same 20 shoes but I bet Player: I win 760 x $25 = $19,000 and lose 800 x $25 = $20,000 for a net of -$1,000 or -40 bets in that session.
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https://wizardofvegas.com/forum/gambling/tables/36285-banker-payout/4/#post818473
Per WOO the probabilities are:
Banker: 0.458597
Player: 0.446247
Tie: 0.095156
So over 75 hands you would expect:
Banker: 34.4
Player: 33.5
Tie: 7.1
So just less than one more banker than player. So why the 5% tax? Seems weird at first that it would make it still a better bet than player. But here’s one way to look at the math:
Bet player for the whole shoe and you win 33.5 hands, lose 34.4 hands and push 7.1 hands for a net loss of: 33.5 - 34.4 = -0.9
Bet banker for the whole shoe and you win 95 cents on 34.4 hands (there’s the commission), lose 33.5 hands and push 7.1 hands for a net loss of: 34.4*0.95 - 33.5 = -0.82
So you still do 8 cents better on banker!
Comments
Indeed.
For a representative assortment of hands, you will lose less money wagering Banker.... It has a lower house edge. So no surprise there.
There was some rounding introduced with the 34.4 and 33.5
Yes the rounding and small sample size obscure the analysis, but I think that's only half the story. I find it more illuminating to disregard the ties, as they are non events (for this analysis anyway). Once we do that, you can see that for hands with a meaningful outcome (not a tie):
the banker wins 50.6825%
the player wins 49.3175%
In a fantasy world with no commission, the rates of return would be double that:
banker 101.365%
player 98.635%
Now in order to properly account for the commission, we subtract 2.5 from the bankers fantasy number. We only need to subtract 2.5 because the commission is only charged on the winnings, and not on the original bet, (which is returned to the player with his winnings). Thus we end up with a rate of return for the banker which is 98.865%, just 0.23% higher than that of the player. This is less than a quarter on $100 bill.
Yes, my numbers are slightly different from the wizard's, simply because mine are undiluted by the ties.

Jun 26, 2021
Comments
I find these much more believable.
Coin pusher video