Artificial intelligent assistant

Does this curiousity have any meaning? If $\pi$ is calculated to the $360$-th digit after the decimal point, the last digits are $360$ : 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089 98628034825342117067982148086513282306647093844609550582231725359408128481117450 28410270193852110555964462294895493038196442881097566593344612847564823378678316 52712019091456485669234603486104543266482133936072602491412737245870066063155881 74881520920962829254091715364367892590360 A full angle has $360$°. * Is this pure chance, or does this curiousity have any meaning ?

(The following is not meant to be serious mathematics.)

In decimal there are $1000$ three place numbers. The probability that at the $N^{\rm th}$ decimal place of $\pi$ the last three figures enounce exactly the number $N$ therefore is ${1\over1000}$, and the probability that this does not happen is ${999\over1000}$. Assuming independence of the involved events, the probability of failure at all decimals up to the $700^{\rm th}$, say, therefore comes to about $$\left({999\over1000}\right)^{700}<{1\over2}\ .$$ This means that we can expect such an event to happen in the first $700$ decimal places of $\pi$ with a probability $>{1\over2}$.

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