I believe I have come up with a betting strategy using the Royal Match option on blackjack tables to get a significant advantage on the casino. It is very simple math, but you never know, so please check and confirm/reject.
In this version of Royal Match, if you get two suited cards you get paid 2:1. If you get a suited King/Queen, you get paid 50:1. From what I have heard compared to other casinos, the 2:1 is lower than most and the 50:1 is higher than most, but thats irrelevant.
This will most likely be played by me in a four or six deck game. I am thinking of playing it on the four deck Shufflemaster.
Strategy:
With four decks in the Shufflemaster, there are 52 of each suit.
From what I can figure, the chances of any match, royal or not, is slightly less than 25%. Since after the first card is given to you, there are 51 of that suit and a total of 207 cards in the deck total. Therefore, 51/207 = 24.64% chance of suited cards.
This means that there is a 76.46% chance of losing. If you look at several hands together, the chances of losing are as follows:
Hand 1 2 3 4 5 6 7
76.47 58.48 44.72 34.20 26.15 20.00 15.29
Meaning that the chances of losing seven straight hands is 15.29%
So the plan is:
Basically, starting with a $1chip, you double your bet on the Royal Match every hand.
Your bets on each hand will be as follows:
Hand 1 2 3 4 5 6 7
Chance to lose 76.47 58.48 44.72 34.20 26.15 20.00 15.29
$$Bet 1 2 4 8 16 32 64
Money lost if
you lose the hand 1 3 7 15 31 63 127
Money won if you 2 3 5 9 17 33 65
win (after deducted
loses)
All of these figures continue to increase or decrease, I only went to 7 hands to show you.
The idea is, no matter how long it takes you to win a Royal Match, when you do win your money, you will win all the money you have lost on it and then some.
This follows the pattern of binary based counting. Since the bet on each hand is 1+(everything lost so far) and you get paid 2:1, half the money you earn on your win will pay back everything you have lost and the other half is your profit.
By the 10th hand, you have a 94% to win at least one hand, but you will be in $1023 if you lose.
So really, as long as you have a big enough bank roll to keep betting exponentially like this, the longer it takes you to win, the better off you are.
The only possible pitfall is that the maximum bet on the tables at this casino are 200, so I can only bet $128 at which point I would have an advantage of 88.3%. This is still a very nice advantage. If I lost once, I could just play it again if I had the balls for an almost definite win.
So here is what I want to know. If this is right, it is very simple math. Why am I the only person to have thought of this. Check my math and let me know, Thank You. -Spenzler
In this version of Royal Match, if you get two suited cards you get paid 2:1. If you get a suited King/Queen, you get paid 50:1. From what I have heard compared to other casinos, the 2:1 is lower than most and the 50:1 is higher than most, but thats irrelevant.
This will most likely be played by me in a four or six deck game. I am thinking of playing it on the four deck Shufflemaster.
Strategy:
With four decks in the Shufflemaster, there are 52 of each suit.
From what I can figure, the chances of any match, royal or not, is slightly less than 25%. Since after the first card is given to you, there are 51 of that suit and a total of 207 cards in the deck total. Therefore, 51/207 = 24.64% chance of suited cards.
This means that there is a 76.46% chance of losing. If you look at several hands together, the chances of losing are as follows:
Hand 1 2 3 4 5 6 7
76.47 58.48 44.72 34.20 26.15 20.00 15.29
Meaning that the chances of losing seven straight hands is 15.29%
So the plan is:
Basically, starting with a $1chip, you double your bet on the Royal Match every hand.
Your bets on each hand will be as follows:
Hand 1 2 3 4 5 6 7
Chance to lose 76.47 58.48 44.72 34.20 26.15 20.00 15.29
$$Bet 1 2 4 8 16 32 64
Money lost if
you lose the hand 1 3 7 15 31 63 127
Money won if you 2 3 5 9 17 33 65
win (after deducted
loses)
All of these figures continue to increase or decrease, I only went to 7 hands to show you.
The idea is, no matter how long it takes you to win a Royal Match, when you do win your money, you will win all the money you have lost on it and then some.
This follows the pattern of binary based counting. Since the bet on each hand is 1+(everything lost so far) and you get paid 2:1, half the money you earn on your win will pay back everything you have lost and the other half is your profit.
By the 10th hand, you have a 94% to win at least one hand, but you will be in $1023 if you lose.
So really, as long as you have a big enough bank roll to keep betting exponentially like this, the longer it takes you to win, the better off you are.
The only possible pitfall is that the maximum bet on the tables at this casino are 200, so I can only bet $128 at which point I would have an advantage of 88.3%. This is still a very nice advantage. If I lost once, I could just play it again if I had the balls for an almost definite win.
So here is what I want to know. If this is right, it is very simple math. Why am I the only person to have thought of this. Check my math and let me know, Thank You. -Spenzler
