benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / One fair die is rolled; let a denote the number that comes up. We then roll a dice; let the sum of the resulting a numbers be b. Finally, we roll b dice, and let c be the sum of th…

Problem

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

problem

One fair die is rolled; let aa denote the number that comes up. We then roll aa dice; let the sum of the resulting aa numbers be bb. Finally, we roll bb dice, and let cc be the sum of the resulting bb numbers. Find the expected (average) value of cc.
Plain-text mathematical notation (without MathML)
One fair die is rolled; let a denote the number that comes up. We then roll a dice; let the sum of the resulting a numbers be b. Finally, we roll b dice, and let c be the sum of the resulting b numbers. Find the expected (average) value of c.
Original LaTeX notation
One fair die is rolled; let $a$ denote the number that comes up. We then roll $a$ dice; let the sum of the resulting $a$ numbers be $b$. Finally, we roll $b$ dice, and let $c$ be the sum of the resulting $b$ numbers. Find the expected (average) value of $c$.

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
2a89944f-354d-5953-8d0c-6531d8ae6b9d
task_key
test--2a89944f-354d-5953-8d0c-6531d8ae6b9d
task_revision_id
1
config / split
/ test

Official source

initial import