von duck, Your assumptions (In Post #45) of equal Negative Bias to the (1), when the (6) is Biased +50%, along with NO change to the 2,3,4,&5 is HIGHLY FLAWED! It does NOT take a genius to establish that with that configuration there will be ZERO NET CHANGE to the # of (7)'s that occur with this set of DICE. Now, 100% of your so called made up B.S. #'s is debunked< DUH... eagleeye2
If one "speaks with forked tongue" that would mean an attempt to deceive, and that was never my intention. There was a math error, pointed out by MS, and he was correct, and upon realizing this, I made the correction , to post # 135. The advantage to the player, with this bias still remains, just that, the quantity is less. Your theory, of "any bias helps the casino" is incorrect, no matter how hard that may be for you to take. It has never been my intention to deceive anybody, about the realities of this game. If I say it, I believe it, plain and simple, if it can be shown that I am wrong about something, then it was just an honest mistake on my part, not a lie. Go back, read anything I've ever written, you will find NO lies, though you will find posts with non-truths, that were made for an attempt at humor. I'm am a pretty straight shooting guy, ask yourself, if YOU are.
It doesn't matter how you calculate it. To get a result of seven, it doesn't matter what face the biased dice lands on. The fair dice has to land on a number that will = seven and the chance of that happening is 1 in 6, same as random dice. One biased dice and one fair will change the probability of every number except for the seven.
I had to "define" a bias to run the numbers. I don't know if a die could be biased in this way or not, in the real world. I would guess that it would be possible, but who knows. This was all a hypothetical situation, and mind you, this was a very biased die. The numbers ,I believe, are correct, for the dice, as they were defined. As for altering ring the number of sevens, see if you can "define" a set of dice that will do just that. By "define" I mean, qualify, and quantify, exactly how each die will fall on average. It's like "pick your bias" man.
Yah von duck, That is a problem, but you fail to reply to the "Negative Bias"" you automatically inserted into the (1) in your example on Post # 45! Which I called ""Highly Flawed"", & which it is. eagleeye2
So, show us what the correct numbers are. If you are going to weight bias a die to roll more sixes, it seems the weight should be on the one, to make it finish on the bottom. If the one finishes on the bottom more often, it should finish on the top LESS often. Why don't you just tell us, how often the die would finish, on each side. I can almost guarantee you, everybody would love to see your assessment. Go ahead, give it a shot.
I did not "automatically" insert the bias on the one. I biased the 6, and it seemed the simplest, and most logical place to make up the difference, would be the one. This die is hypothetical, it can be biased in any way one would choose. I defined my choice. Bias your dice in any way you want, tell us how many times each side will show, on both dice, and we'll run the numbers for you. What's the problem? You were the one that said "ANY" bias will benefit the house. I showed you a bias that would NOT. Balls in your court, man. So far, you're just hitting it back, into the net.
ANY biased die, when thrown with a straight die, will always produce the same probability of a seven. If not, just tell me what the biased die lands on, that changes this.
von duck, A DIE Biased to the THREE (for example) means that when thrown down a CRAPS TABLE, the (3) appears more times than the 1 in 6 that statistics for FAIR & Balanced DIE stipulate. Therefore, irregardless of the 1 in 6 times that a (4) appears, on the second FAIR DIE, the (7) appears more times than it should, thus the Casino advantage of BIASED Dice is established & the increased # off 7-Outs helps the casino's. One of these times even YOU will comprehend. eagleeye2
Let say your die was totally biased to the 3. It always landed on three. How many sevens would then be added ? ....................................
von duck, Casin o's woul von duck, Casino's would LOVE that level of BIAS as a (7) out would theoretically occur every SIX throws of those DICE!!! Why play CRAPS when you know statistically that you won't EVER get more than 5 Rolls without A (7) OUT??? eagleeye2
von duck, Here's the entire Post, you missed most of it, DUH!!! von duck, Casino's would LOVE that level of BIAS as a (7) out would theoretically occur every SIX throws of those DICE!!! Why play CRAPS when you know statistically that you won't EVER get more than 5 Rolls without A (7) OUT??? eagleeye2
Yeah, I read the entire post. In terms of seven frequency, your biased three, has changed NOTHING. In order to change the frequency of sevens rolled, both dice, would have to show a bias. With a die biased to show only 3, you would only see six numbers. , . Notice that only one out of the six numbers is SEVEN. Since the distribution of these numbers is equal, every box number but 10 would be a profitable place bet. CHA-CHING! TD, would run a martingale on the horn bet.
One die 100% biased to the 3 would cut the tail off the volatility curve resulting in fewer really long rolls. That is where Eagle is going off the rails. All you need to do is change your betting habits. Starting small and pressing to the moon with "house money" as you call it, hoping for a long roll is not the optimal way to play. Starting small and pressing is a much less desirable way to play when the variables have been changed like a biased die. All you have to do is open up your mind and change your betting habits to fit reality. You know, "Bet what the dice are giving you".
Mssthhis1, Correct, but assuming more (7's) are going to be thrown; grinding it out on the DON'T side would be preferred. eagleeye2
I do not think it would result in fewer long rolls. I say this because a long roll happens when the seven-out doesn't show, and this dice configuration does not change the frequency of seven outs. What it would be, is a substantial gain for the player. + 6 on come-out naturals. No yo's, but no craps either. All of the "possible" numbers would be even money to hit, so the odds bet, would be a total ass kicker. Once again, one biased die, is of no benefit to the house. Keep trying EE-2, there IS a way to bias the dice, that WOULD benefit the casino.
