dburn, on 2014-October-31, 21:32, said:
Curious, this.
The consensus appears to be that: there is no actual rule of the game preventing a player from participating if he has prior knowledge of the hands that have been dealt.
Has it never occurred to anyone that there should be? Or is it really the case that "the rules aren't designed to prevent out-and-out cheating"? If so, are not the rules rather feebly designed? Is there some other game or sport that has rules allowing "out-and-out cheating"? If not, why not?
Has it never occurred to you that as Bridge is a game for Gentlemen and Ladies everybody should (instinctively) know what to do and what not to do?
You might also take a look at Law 6D which has some relevance in this respect.
dburn, on 2014-October-31, 21:32, said:
In passing, I am not sure that I know what pran means by "a perfectly shuffled pack of cards". Sally Brock and I differ as to whether six or seven imperfect riffle shuffles are enough to destroy information. Poker dealers believe that washing the deck, then riffling thrice, then box-cutting is enough. Hans van Staveren may have been the first to collect enough entropy to overcome the PRNG phenomenon, but even that...
Quite correct observation, we often use the word "random" without knowing what we really mean.
First of all:
There is no such thing as a single random number (or a single random instance)!
But we can have numbers (or even a single number)
drawn at random from a set of numbers which means that
there is no way one can predict any particulars of the next number drawn other than that the number belongs to the set.
Testing for randomness is a rather complicated process. For example testing a dice requires not only to show that each of the six possible results occurs at approximately the same frequency but also that
deviations from the averages corresponds with what should be expected. If you throw a dice 600 times and note that you have exactly 100 each of the numbers from 1 to 6 then that dice is almost certainly not random. (It could still be, that is why repeated tests are neccessary!)
I shall not go into more details but only say that when I test dealer programs for randomness I require at least 8000 deals which I split into ten subsets of 800 deals. Counting such parameters as distributions, HCP strengths and even single card locations I measure for each subset how far away the results are from the statistical averages and require an acceptable distribution of such deviations over the ten subsets. The test is then repeated for several sets of 8000 deals before I am satisfied with the results.
Complex? Sure. Neccessary? Absolutely. I have tested some well recognized programs during the last 30 years and more often than I care about had to report that the program did not pass my tests. In one case I found that the Queen of Clubs on the average was located 40% of the times in North and only 10% of the times in South. (East and West shared the remainding 50% equally). After I alerted the owner of the program this error was fixed and later tests were all successful. (I never understood what could cause this error but nor did I really ever care.)
So what about manual shuffling? The only manual method I can think of as satisfactory for randomness is to use dice (or similar equipment) and let the outcome of a sufficient number of throws determine the locations of the cards. This is of course absolutely unrealistic.
Already Culbertson made it quite clear in his books that the players should be aware of insufficient randomness in deals for Bridge. At his time there was of course no alternative to manual shuffling.
Now as a curiosity: How big is the "set" of possible deals for Bridge? Given the world population of approximately 7 Billion People (7 with nine zeroes), if each individual on Earth produce a new deal every second and no particular deal is ever repeated it will take almost 243 Billion years before all possible deals have been produced. (And if we include dealer and zone in the particulars of the deals we would even have to multiply this number by 16.)