Math, asked by yashashvirajput6c40, 2 months ago

Which number appears most in the first 6 billion decimal places of Pi?

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Answers

Answered by JohnRobinson
24

Question:-

Which number appears most in the first 6 billion decimal places of Pi?

Answer:-

0

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Answered by qwstoke
0

The digit "0" appears the most frequently in the decimal representation of Pi.

This is because the distribution of digits in Pi (and other irrational numbers) is considered to be random and uniform, and since there are 10 possible digits (0 to 9), each digit should occur roughly one-tenth of the time. Therefore, in the first 6 billion decimal places of Pi, the digit "0" should appear approximately 600 million times, which is more than any other digit.

The distribution of digits in the decimal representation of Pi (and other irrational numbers) has been studied extensively by mathematicians and computer scientists. While it is believed that each digit from 0 to 9 occurs with equal frequency, this has not been proven rigorously. In fact, there is currently no known method to determine the distribution of digits in Pi (or any other irrational number) with certainty.

However, many algorithms and techniques have been developed to calculate Pi to very high precision. One such method is the Bailey–Borwein–Plouffe (BBP) formula, which allows for the computation of individual digits of Pi without having to calculate all the preceding digits. This formula has been used to calculate trillions of digits of Pi, with the current record being over 62 trillion digits.

The study of the distribution of digits in Pi (and other irrational numbers) has also led to the development of random number generators, which are widely used in computer science and other fields. The randomness of the digits in Pi (and other irrational numbers) makes them a useful source of unpredictable and statistically random numbers.

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