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Omni-MATH / Every second, Andrea writes down a random digit uniformly chosen from the set…

Problem

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problem

Every second, Andrea writes down a random digit uniformly chosen from the set {1,2,3,4}\{1,2,3,4\}. She stops when the last two numbers she has written sum to a prime number. What is the probability that the last number she writes down is 1?
Plain-text mathematical notation (without MathML)
Every second, Andrea writes down a random digit uniformly chosen from the set {1,2,3,4}. She stops when the last two numbers she has written sum to a prime number. What is the probability that the last number she writes down is 1?
Original LaTeX notation
Every second, Andrea writes down a random digit uniformly chosen from the set $\{1,2,3,4\}$. She stops when the last two numbers she has written sum to a prime number. What is the probability that the last number she writes down is 1?

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Source and history

task_id
ffef0547-0094-5e12-8998-622e5cb8c56b
task_key
test--ffef0547-0094-5e12-8998-622e5cb8c56b
task_revision_id
1
config / split
/ test

Official source

initial import