lamford, on 2012-August-21, 02:20, said:
I would agree. However I would also say that even a large amount of shuffling is not enough to prevent the next player from getting some information about the play of the hand. I did some tests at home, and found that I guessed some information about the last hand 50% of the time, shuffling much as people do after a hand is played. The most common information I obtained was that if three cards of the same suit were consecutive after shuffling, they were trumps over half the time. Declarers play three consecutive rounds of trumps far more often than three consecutive rounds of a side suit. The second most common piece of information related to two consecutive honour cards, the smaller of which was lower in the slot. Over 90% of the time this meant that the first honour did not lose the trick to the person over the honour. Of course, sometimes they came together because of the shuffle, but far more often they were not separated by it.
Is all this information authorised? If not, then the TD should be called every other hand, and the board is usually unplayable.
I'm a little suspicious of your tests. I've been reading the book "Thinking Fast and Slow", and it has a chapter on the Law of Small Numbers. Basically, what it points out is that most people's intuitions about statistics and probability are wrong, including most research scientists. In particular, it's very easy to get misleading results with small samples. How large was the test you performed? The example given in the book is that the counties with the highest rates of cancer in the US are mostly rural, but so are the counties with the lowest rates of cancer; most of these places are not actually cancer-prone or cancer-averse, it's just that rural areas are sparsely populated, so sampling error has a larger effect.
Also, how rigorous was it? Another problem people run into is "confirmation bias" -- we tend to notice examples that match our expectations, and discount the one that refute it as well. So unless you were systematic in performing the test, you may have succumbed to this.
Here's another possible flaw in the test. If the hand you were looking at happened to be declarer (or dummy after a transfer auction), trumps was probably its longest suit. So after even a perfect shuffle, the cards in the trump suit are more likely to be clumped together simply because there are more of them.