Saturday 7 September 2019

More Probabilities


I have calculated probabilities · More Probabilities · The Bases of the Probabilities

How many possibilities are there overall to combine 6 upper case letters of the English alphabet?

266 = 308 915 776

How many of these are 456, which with normal capitalisation becomes 616?

1*55*2=110 190*397*2=150860
3*66*2=396 210*417*2=175140
6*78*2=936 231*435*2=200970
10*91*2=1820 253*451*2=228206
15*105*2=3150 276*465*2=256680
21*120*2=5040 300*477*2=286200
28*136*2=7616 325*487*2=316550
36*153*2=11016 351*495*2=347490
45*171*2=15390 375*501*2=375750
55*190*2=20900 397*505*2=400970
66*210*2=27720 417*507*2=422838
78*231*2=36036 435*507*2=441090
91*253*2=46046 451*505*2=455510
105*276*2=57960 465*501*2=465930
120*300*2=72000 477*495*2=472230
136*325*2=88400
153*351*2=107406
171*375*2=128250 487*487=237169


110+396+936+1820+3150+5040+7616+11016+15390+20900+27720+36036+46046+57960+72000+88400+107406+128250+150860+175140+200970+228206+256680+286200+316550+347490+375750+400970+422838+441090+455510+465930+472230+237169=5863775

308 915 776 / 5 863 775 = 52.68206505195

In other words, scoring 616 as per six upper case adding up to 456 and adding 160 (5*32) for normal capitalisation, is theoretically nearly three times more common than scoring 666 in nine upper case.

And therefore less significant.

Hans Georg Lundahl
Paris XI
St. Nemorius and Companions
7.IX.2019

Trecis, in Gallia, sancti Nemorii Diaconi, et Sociorum Martyrum, quos Attila, Rex Hunnorum, interfecit.

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