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MMLU-Pro / 8173 / A bin has 5 green balls and k purple balls in it, where k is an unknown…

Problem

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

question

A bin has 5 green balls and kk purple balls in it, where kk is an unknown positive integer. A ball is drawn at random from the bin. If a green ball is drawn, the player wins 2 dollars, but if a purple ball is drawn, the player loses 2 dollars. If the expected amount won for playing the game is 50 cents, then what is kk?
Plain-text mathematical notation (without MathML)
A bin has 5 green balls and k purple balls in it, where k is an unknown positive integer. A ball is drawn at random from the bin. If a green ball is drawn, the player wins 2 dollars, but if a purple ball is drawn, the player loses 2 dollars. If the expected amount won for playing the game is 50 cents, then what is k?
Original LaTeX notation
A bin has 5 green balls and $k$ purple balls in it, where $k$ is an unknown positive integer. A ball is drawn at random from the bin. If a green ball is drawn, the player wins 2 dollars, but if a purple ball is drawn, the player loses 2 dollars. If the expected amount won for playing the game is 50 cents, then what is $k$?

category

math

options

  1. 5
  2. 7
  3. 12
  4. 3
  5. 10
  6. 4
  7. 9
  8. 2
  9. 6
  10. 8

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
8173
task_id
b7639d88-3b14-5cbd-81f3-8cff246c1f2c
task_key
default--test--8173
task_revision_id
1
config / split
default / test

Official source

initial import