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OlympiadBench / 2355 / A die, with the numbers 1,2,3,4,6, and 8 on its six faces, is rolled. After…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A die, with the numbers

1,2,3,4,6

, and 8 on its six faces, is rolled. After this roll, if an odd number appears on the top face, all odd numbers on the die are doubled. If an even number appears on the top face, all the even numbers are halved. If the given die changes in this way, what is the probability that a 2 will appear on the second roll of the die?

Plain-text mathematical notation (without MathML)

A die, with the numbers 1,2,3,4,6, and 8 on its six faces, is rolled. After this roll, if an odd number appears on the top face, all odd numbers on the die are doubled. If an even number appears on the top face, all the even numbers are halved. If the given die changes in this way, what is the probability that a 2 will appear on the second roll of the die?

Original LaTeX notation

A die, with the numbers $1,2,3,4,6$, and 8 on its six faces, is rolled. After this roll, if an odd number appears on the top face, all odd numbers on the die are doubled. If an even number appears on the top face, all the even numbers are halved. If the given die changes in this way, what is the probability that a 2 will appear on the second roll of the die?

answer type

Numerical

is multiple answer

false

language

English

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2355
task_id: debaa87a-c69f-54af-bfdc-87251041005f
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2355
task_revision_id: 3
config / split: OE_TO_maths_en_COMP / train

Official source

initial import