If you're a strong 'basic strategy' player (i.e. You don't do stupid things like hit 15 against a dealer's 6, or split 10s, etc.) you will win about 43% of your hands, push 9% and lose 48%. (Even 'winning' blackjack players lose more hands than th. It happens (losing 9 in a row). Technically, you will lose about 50% of the hands you play, win about 42% and push the rest. The probability of losing one hand is therefore.5. The probability of losing 9 in a row is.5 ^ 9 =.0000076 or every 131,000 hands.
Maximum bet =$3000
First off, what are the chances of banker winning 11 times in a row? How about 20 consecutive wins?
Here is the scenario:
Bank wins 11 hands in a row.
I bet player and lose, then raise the bet according to martingale system.
Hand --- Bet
#12 ---- $20
#13 ---- $40
#14 ---- $80
#15 ---- $160
#16 ---- $320
#17 ---- $640
#18 ---- $1350
#19 ---- $3000
What are the odds of losing the entire 8 bets in the hopes that bank won't win 20 consecutive hands?
Notice that bet #18 and #19 is slightly higher
Thank you
The probability for eleven in a row is around 1 in 4,000.
The probability for twenty in a row is about 1 in 900,000
You may have to sit through hundreds of shoes for this opportunity.
I've played bac for thirty two years and that was the first time I've seen twelve in a row!
I'd rather nail my dick to a burning building.
Minimum bet = $20
Maximum bet =$3000
First off, what are the chances of banker winning 11 times in a row? How about 20 consecutive wins?
Here is the scenario:
Bank wins 11 hands in a row.
I bet player and lose, then raise the bet according to martingale system.
Hand --- Bet
#12 ---- $20
#13 ---- $40
#14 ---- $80
#15 ---- $160
#16 ---- $320
#17 ---- $640
#18 ---- $1350
#19 ---- $3000
What are the odds of losing the entire 8 bets in the hopes that bank won't win 20 consecutive hands?
Notice that bet #18 and #19 is slightly higher
Thank you
I assume we are playing player in Baccarat, and ignoring ties.
Doesn't matter what happened on the previous results. Only the next 8 you are actually betting on. After 11 bank wins, the chance of 8 more is roughly 0.4%. After 11 bank losses, the chance of 8 more bank wins in a row is roughly 0.4%. After 5 bank wins and 6 bank losses, the chance of 8 banks is roughly 0.4%.
You have a 99.7% chance of winning ~$20, and a 0.4% chance of losing $5610. Average loss per sequence is $3.91. Plus waiting all day for a 11 banks in a row for a chance of winning $20? 11 banks in a row is 1 in 1816 chance. At 100 hands an hour, you'll be waiting over 18 hours for this to happen. For chance to win $20.
Good luck, chuck.
First off, what are the chances of banker winning 11 times in a row? How about 20 consecutive wins?
Per 8 deck shoe (simulation results)run of length 11 banker wins
1.8582% or about 1 in 54 shoes
(in 80 shoes it happened 2 times! High tax bracket for 2 wins)
run of 20 happened only 39 times in 1 million shoes
0.000039 or about 1 in 25,641 shoes
What are the odds of losing the entire 8 bets in the hopes that bank won't win 20 consecutive hands?
Thank you
Now since you would have just witnessed 11 Banker wins in a row, the table is Rocking and big bets are riding the Banker wave, you start to bet Player.
The probability of losing the very next 8 hands is 0.50682483^8 = 0.004353746
or about 1 in 230
In 1999 I rode an 18 Banker win streak.
I still have some winnings from that.
What Are Your Odds In Blackjack
.446247 player win
.095156 tie
Eight deck shoe
Plus waiting all day for a 11 banks in a row for a chance of winning $20? 11 banks in a row is 1 in 1816 chance. At 100 hands an hour, you'll be waiting over 18 hours for this to happen. For chance to win $20.
Good luck, chuck.
If you can watch all the scorecard displays or watch for a table with a lot of excitement from a Banker run, 11 Banker wins can easily happen at least one time every day.
There are houses that have 5 to 10 Bac tables going in an eight hour period.
If you can watch all the scorecard displays or watch for a table with a lot of excitement from a Banker run, 11 Banker wins can easily happen at least one time every day.
Blackjack Odds Calculator
So you are going to sit all day for a chance to win $20?? And I thought MY life had too much time in it!- Page 1 of 3
From my video poker appendix 3 we can see the standard deviation for 1-play jacks or better is 4.417542. The standard deviation for 4-play jacks or better is 5.041215. Keep in mind these figures are per hand and relative to the betting unit. Adjusting for bet size and number of hands the standard deviation of $5 bet in 1-play jacks or better is 11/2*5*4.417542 = 22.08771. The standard deviation of 4 bets of $2.50 in 4-play jacks or better is 41/2*$2.50*5.041215 = 25.20608. So you are better off betting the smaller total amount in 1-play. Interestingly you can double the total amount bet in 4-play and the standard deviation only goes up by 14.12%.
Actually I get a player return of 101.62%. Buried within their rules is this statement, 'Please note that all games share the same mechanism which determines the jackpot win. Thus, with card games, the probability of hitting the jackpot combination is not natural but controlled by this shared random mechanism in the same way as slot machines' wins.' It is my understanding that they offered this game for quite a while before posting this warning. I just don't trust any casino that would rig a card game, even if they admit it in the fine print.
For the sake of simplicity let's stay with your example and say the probability of winning is 70% and losing is 30% if you hit. The expected value of hitting would be 0.3*1 + 0.7*-1 = -0.4. This is greater than the expected value of -0.5 by surrendering.
From my video poker appendix 3 we can see the standard deviation for 1-play jacks or better is 4.417542. The standard deviation for 4-play jacks or better is 5.041215. Keep in mind these figures are per hand and relative to the betting unit. Adjusting for bet size and number of hands the standard deviation of $5 bet in 1-play jacks or better is 11/2*5*4.417542 = 22.08771. The standard deviation of 4 bets of $2.50 in 4-play jacks or better is 41/2*$2.50*5.041215 = 25.20608. So you are better off betting the smaller total amount in 1-play. Interestingly you can double the total amount bet in 4-play and the standard deviation only goes up by 14.12%.
Actually I get a player return of 101.62%. Buried within their rules is this statement, 'Please note that all games share the same mechanism which determines the jackpot win. Thus, with card games, the probability of hitting the jackpot combination is not natural but controlled by this shared random mechanism in the same way as slot machines' wins.' It is my understanding that they offered this game for quite a while before posting this warning. I just don't trust any casino that would rig a card game, even if they admit it in the fine print.
For the sake of simplicity let's stay with your example and say the probability of winning is 70% and losing is 30% if you hit. The expected value of hitting would be 0.3*1 + 0.7*-1 = -0.4. This is greater than the expected value of -0.5 by surrendering.
No, these exceptions should not be used for 4-8 decks. There are a few exceptions in 4-8 deck games but they are so border line that it isn't worth the bother to learn them. An interesting rule of thumb for all numbers of decks is that with 16 vs. 10, where the 16 is composed of 3 or more cards, in general the odds favor standing.
The name for this system is the Martingale. Ignoring ties the probability of a new loss for a hand of blackjack is 52.51%. So the probability of losing 8 in a row is .52518 = 1 in 173.
No. If your goal is a small win then you should be playing low volatility, high hit frequency games. I can't suggest any particular games but look for ones with comparatively small jackpots. These will also help you to play longer.
Odds Of Winning Blackjack Hand
The Martingale is dangerous on every game and in the long run will never win. However it is better to use in baccarat than roulette, just because of the lower house edge. The probability of the player winning 8 times in a row is 0.493163^8 = 1 in 286. Also keep in mind you could win a hand late in the series and still come out behind because of the commission. For example if you started with a bet of $1 and you won on the 7th hand you would win $60.80 ($64*95%), which would not cover the $63 in previous loses.
Blackjack Odds Sheet
I've been asked about these North Carolina slot machines so many times I'm tempted to fly there just to see them for myself. Yes, if they did give the probability of each symbol for each reel then an optimal strategy and a return could be fairly easily calculated. However I have never actually seen such a table and have never worked out the odds.
Blackjack Odds Losing 10 Hands Rowing
The probability of any hand less than a pair is the product of the number of ways to pick 3 different ranks out of 13, less 12 for the consecutive ranks that result in a straight, and the number of ways to pick a suit 3 different times, less 4 for picking the same suit each time. So the total combinations for ace-high or less is (combin(13,3)-12)*(43-4) = 16,440.
Blackjack Odds Chart
Now let's look at the combinations for a jack high or less. We have omitted 3 ranks so there are 3 ranks to choose from among 10. However 8 of these combinations result in a straight (2/3/4 to 9/10/J). Again there are 43-4 ways to pick the suits. So the total combinations is (combin(10,3)-8)*( 43-4) = 6,720. The total combinations for Q-A high is simply 16,440-6,720=9,720. For an explanation of the combin function please see my probabilities in poker section.