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Omni-MATH / Jerry and Neil have a 3-sided die that rolls the numbers 1, 2, and 3, each with…

Problem

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problem

Jerry and Neil have a 3-sided die that rolls the numbers 1, 2, and 3, each with probability 13\frac{1}{3}. Jerry rolls first, then Neil rolls the die repeatedly until his number is at least as large as Jerry's. Compute the probability that Neil's final number is 3.
Plain-text mathematical notation (without MathML)
Jerry and Neil have a 3-sided die that rolls the numbers 1, 2, and 3, each with probability (1)/(3). Jerry rolls first, then Neil rolls the die repeatedly until his number is at least as large as Jerry's. Compute the probability that Neil's final number is 3.
Original LaTeX notation
Jerry and Neil have a 3-sided die that rolls the numbers 1, 2, and 3, each with probability $\frac{1}{3}$. Jerry rolls first, then Neil rolls the die repeatedly until his number is at least as large as Jerry's. Compute the probability that Neil's final number is 3.

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Source and history

task_id
c9e9a7f1-47f4-5fad-8047-522ca035980c
task_key
test--c9e9a7f1-47f4-5fad-8047-522ca035980c
task_revision_id
1
config / split
/ test

Official source

initial import