What is the probability of two 14 word sentences each having 61 letters, 20 syllables and a Simple English Gematria (A=1, B=2, C=3) value of 741?

Question

What is the probability of two fourteen-worded statements each containing 61 letters, 20 syllables and a Simple English Gematria value of 741?

Answer 1

Hi Wayne P.,

This has to be a trick question. For one thing, the input is two 14-word sentences. Now, how many 14-word sentences (making grammatic sense, one assumes) can be written in English? It has to be essentially infinite, though you could probably sit down and in a few days estimate about all of the parsed sentence structures that 14 words might allow, maybe 10^7? -- but then, you would have to substitute in all the possible words for the respective parts of speech in the parsed structures. That would run you into 10^80, perhaps -- and only an insignificant number of those would meet the Gemetria criterion. Then square that ratio -- well, you see that the probability of two randomly picked 14-word sentences meeting the criteria is essentially zero. Not exactly zero, just not exactly calculable in finite time (such as, the age of the universe).

There are a lot of math problems that have similarly incalculable small probabilities, or have bounds for solutions that are way beyond direct expression, though they can be expressed in terms of scale-condensing notations. Fascinating stuff. Look up "Knuth's up-arrow notation" if you dare!

-- Cheers, -- Mr. d.