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MMLU-Pro / 8869 / An urn contains eight red and seven blue balls. A second urn contains an unknown…

Problem

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

question

An urn contains eight red and seven blue balls. A second urn contains an unknown number of red balls and nine blue balls. A ball is drawn from each urn at random, and the probability of getting two balls of the same color is 151/300151 / 300. How many red balls are in the second urn?
Plain-text mathematical notation (without MathML)
An urn contains eight red and seven blue balls. A second urn contains an unknown number of red balls and nine blue balls. A ball is drawn from each urn at random, and the probability of getting two balls of the same color is 151/300. How many red balls are in the second urn?
Original LaTeX notation
An urn contains eight red and seven blue balls. A second urn contains an unknown number of red balls and nine blue balls. A ball is drawn from each urn at random, and the probability of getting two balls of the same color is $151 / 300$. How many red balls are in the second urn?

category

math

options

  1. 14
  2. 15
  3. 7
  4. 8
  5. 6
  6. 10
  7. 11
  8. 9
  9. 12
  10. 13

src

scibench-stat

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Source and history

upstream_id / Original problem ID
8869
task_id
a34fda4e-824f-5e0e-af0b-ef2aa1bb75d3
task_key
default--test--8869
task_revision_id
1
config / split
default / test

Official source

initial import