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Omni-MATH / Your math friend Steven rolls five fair icosahedral dice (each of which is…

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problem

Your math friend Steven rolls five fair icosahedral dice (each of which is labelled 1,2,…,201,2, \ldots, 20 on its sides). He conceals the results but tells you that at least half of the rolls are 20. Assuming that Steven is truthful, what is the probability that all three remaining concealed dice show $20 ?$
Plain-text mathematical notation (without MathML)
Your math friend Steven rolls five fair icosahedral dice (each of which is labelled 1,2,…,20 on its sides). He conceals the results but tells you that at least half of the rolls are 20. Assuming that Steven is truthful, what is the probability that all three remaining concealed dice show $20 ?$
Original LaTeX notation
Your math friend Steven rolls five fair icosahedral dice (each of which is labelled $1,2, \ldots, 20$ on its sides). He conceals the results but tells you that at least half of the rolls are 20. Assuming that Steven is truthful, what is the probability that all three remaining concealed dice show $20 ?$

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Source and history

task_id
a57f9e6d-5710-514c-b550-0e60ae68d252
task_key
test--a57f9e6d-5710-514c-b550-0e60ae68d252
task_revision_id
1
config / split
/ test

Official source

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