A member of the EveAndersson.com community since September 11, 2010

- August 27, 2011
Theoretically, each decimal digit of Pi can be viewed as independent of the other, and the events may be hypothesized as equiprobable, with probability, 0.10.

Observably, the discrepancies between the proportion of the digits, for the first set of 100 digits are so pronounced. However, as the set of digits increases, through 100,000 up to 10,000,000 ,these discrepancies in proportion decreases, and ,eventually, converges to zero.

In other words, the theoretical probabilities and the observed relative frequencies of the digits almost coincide, according to the law of large numbers, hence the leveling of the bars in the last chart. Thus, the decimal digits of Pi are equiprobable each with probability 0.10 of occurrence.

'pi' is to Genesis 1:1 as ?e? is to John 1:1. There are many examples, which are clearly beyond the capability of human authorship ? not even in field of Actuary.

-- (August 27, 2011) on Frequency of Each Digit of Pi - September 11, 2010
Theoretically, each decimal digit of Pi can be viewed as independent of the other, and the events may be hypothesized as equiprobable, with probability, 0.10.

Observably, the discrepancies between the proportion of the digits, for the first set of 100 digits are so pronounced. However, as the set of digits increases, through 100,000 up to 10,000,000 ,these discrepancies in proportion decreases, and ,eventually, converges to zero.

In other words, the theoretical probabilities and the relative frequencies of the digits almost coincide, according to the law of large numbers, hence the leveling of the bars in the last chart. Thus, the decimal digits of Pi are equiprobable each with probability 0.10 of occurrence.

-- (September 11, 2010) on Frequency of Each Digit of Pi

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