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MMLU-Pro / 8318 / For a simple random walk S_n with S_0=0 and P(S_n-S_n-1=1)=1/4,…

Problem

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

question

For a simple random walk S_n with S_0=0 and P(S_n-S_{n-1}=1)=1/4, P(S_n-S_{n-1}=-1)=3/4. Let M=\max{S_n:n\geq 0}. What is the probability of the event {M\geq 5}? Round the answer to the thousands decimal.

category

math

options

  1. 0.00123456
  2. 0.02345678
  3. 0.00987654
  4. 0.08901234
  5. 0.03456789
  6. 0.04567890
  7. 0.06789012
  8. 0.05678901
  9. 0.01234567
  10. 0.07890123

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8318
task_id
0f31698a-308c-52b1-a949-a430ed3e7764
task_key
default--test--8318
task_revision_id
1
config / split
default / test

Official source

initial import