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MMLU-Pro / 7831 / Suppose X is a discrete random variable on the set of positive integers such…

Problem

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

question

Suppose X is a discrete random variable on the set of positive integers such that for each positive integer n, the probability that X = n is 1/2^n. If Y is a random variable with the same probability distribution and X and Y are independent, what is the probability that the value of at least one of the variables X and Y is greater than 3 ?

category

math

options

  1. 1/4
  2. 1/64
  3. 1/8
  4. 15/64
  5. 7/64
  6. 3/8
  7. 25/64
  8. 9/64
  9. 1/2
  10. 1/16

src

ori_mmlu-college_mathematics

Discussion

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Source and history

upstream_id / Original problem ID
7831
task_id
109ee7cd-7aa9-5fad-bdc7-e91502fc404f
task_key
default--test--7831
task_revision_id
1
config / split
default / test

Official source

initial import