Re: Law of Symmetry

On Sun, 16 Jul 2006 21:46:06 +0200, "Sven Pran"
<no.direct@xxxxxxxxxxxx> wrote:


"Lorne" <Lorne_Anderson@xxxxxxxxxxx> wrote in message
news:44ba8d01$1_2@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
"David Bab***" <dpb3@xxxxxxxxxxx> wrote in message
news:1153054876.504795.162280@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

There is a lot written about "vacant spaces" that deals with this.

The "Law of Symmetry" is about predicting suit splits from other
holdings *in declarer's hand or dummy*--not a defender's hand, where of
course Vacant Spaces applies. The former is what I am questioning

David


Sorry if I replied to the wrong question. If however what you are
enquiring about is what gandalfnf@xxxxxxx described then it is, as he
suggests, rubbish.

ie if NS distribution is 6133 and 1633 the odds for distribution of the
suits in the unseen hands is exactly the same as they would be if NS were
4333 and 3433, assuming a random deal.

EXACTLY!

But please remember that there was no such thing as a random deal
when Culbertson formed his theories. He even introduced a factor 'X'
representing the internal structure in a deck of cards which should
explain such observations as "The King is on top of the Queen" etc.

K on top of Q may be the result of poor shuffling. But the 'law of
symmetry' does not follow in any obvious way, even if the deck is not
shuffled at all. This can be checked, however.


regards Sven

.