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Omni-MATH / You start with a single piece of chalk of length 1. Every second, you choose a…

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problem

You start with a single piece of chalk of length 1. Every second, you choose a piece of chalk that you have uniformly at random and break it in half. You continue this until you have 8 pieces of chalk. What is the probability that they all have length 18\frac{1}{8} ?
Plain-text mathematical notation (without MathML)
You start with a single piece of chalk of length 1. Every second, you choose a piece of chalk that you have uniformly at random and break it in half. You continue this until you have 8 pieces of chalk. What is the probability that they all have length (1)/(8) ?
Original LaTeX notation
You start with a single piece of chalk of length 1. Every second, you choose a piece of chalk that you have uniformly at random and break it in half. You continue this until you have 8 pieces of chalk. What is the probability that they all have length $\frac{1}{8}$ ?

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Source and history

task_id
21be5f97-6e67-50b8-a966-893103275bff
task_key
test--21be5f97-6e67-50b8-a966-893103275bff
task_revision_id
1
config / split
/ test

Official source

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