Vernon,
I need to make a correction to my posting of yesterday. I think I
misplaced a decimal point. I should have estimated the probability that a
seven-word set with numerical value divisible by 37 could be broken up
into four disjoint subsets with this property as being 0.7% rather than
7%. It would actually be a little less than this since I didn't take into
account that sometimes such a set can have more than one such
decomposition. If probability or combinatorics were my field, I would
probably give you an exact figure. Anyhow, it appears that the frequency
of such strings of words is only about a tenth of what I indicated in the
earlier post. I would add one more thing. The probability that a string
with a 3,2,1,1-decomposition as in Gen. 1:1 would have another
decomposition of this type is nearly 1 in 6.
Gordon Brown
Department of Mathematics
University of Colorado
Boulder, CO 80309-0395
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