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MMLU-Pro / 8536 / 5.4-19. A doorman at a hotel is trying to get three taxicabs for three different…

Problem

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

question

5.4-19. A doorman at a hotel is trying to get three taxicabs for three different couples. The arrival of empty cabs has an exponential distribution with mean 2 minutes. Assuming independence, what is the probability that the doorman will get all three couples taken care of within 6 minutes?

category

math

options

  1. $7$
  2. $3$
  3. $2$
  4. $6$
  5. $9$
  6. $5$
  7. $10$
  8. $8$
  9. $4$
  10. $1$

src

scibench-stat

Discussion

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Source and history

upstream_id / Original problem ID
8536
task_id
e5d85333-28ef-5aef-b013-acbadee06fa8
task_key
default--test--8536
task_revision_id
1
config / split
default / test

Official source

initial import