What if we write 0 . and then throw

vaganzahi

vaganzahi

Answered question

2022-05-20

What if we write 0. and then throw a coin and depending on the result continue the number with 1 or 0 and continue this process indefinitely.
What is the probability that the number produced is irrational?

Answer & Explanation

Terrance Phillips

Terrance Phillips

Beginner2022-05-21Added 10 answers

The probability measure is actually equivalent to the standard Lebesgue measure on the real line.
The probability of getting a rational number is zero, and the probability it is irrational is one.

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