Smallest simulable probability

MediumProbability Brainteasers~4m

You want to simulate an event with probability exactly $p$ . Your only randomness is $2$ rolls of a fair die and $1$ flip of a fair coin. What is the smallest positive value of $p$ you can realize exactly?

Show hints (2)+

How many equally likely outcomes do $2$ dice and $1$ coin produce together?
$6\cdot6\cdot2=72$ atoms; every event's probability is a multiple of $1/72$ .

Answer

Reveal answer →

0.0139 (± 0.0002)

Want the full step-by-step worked solution? It's part of Premium - along with a worked solution for every question in the bank.

Practise free Unlock solutions

Asked at: Jane Street, Citadel

Smallest simulable probability

Answer

Related questions