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MMLU-Pro / 7700 / Two dice are rolled simultaneously. If both dice show 6, then the player wins…

Problem

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

question

Two dice are rolled simultaneously. If both dice show 6, then the player wins 20;otherwisetheplayerlosesthegame.Itcosts20; otherwise the player loses the game. It costs 2.00 to play the game. What is the expected gain or loss per game?
Plain-text mathematical notation (without MathML)
Two dice are rolled simultaneously. If both dice show 6, then the player wins 20;otherwisetheplayerlosesthegame.Itcosts2.00 to play the game. What is the expected gain or loss per game?
Original LaTeX notation
Two dice are rolled simultaneously. If both dice show 6, then the player wins $20; otherwise the player loses the game. It costs $2.00 to play the game. What is the expected gain or loss per game?

category

math

options

  1. The player will lose about $1.44.
  2. The player will gain about $1.00.
  3. The player will lose about $0.89.
  4. The player will lose about $1.00.
  5. The player will gain about $2.00.
  6. The player will gain about $1.44.
  7. The player will lose about $2.00.
  8. The player will gain about $0.89.
  9. The player will lose about $0.55.
  10. The player will gain about $0.55.

src

ori_mmlu-high_school_statistics

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Source and history

upstream_id / Original problem ID
7700
task_id
95495b43-1c45-5380-a09e-5f217f0c59d0
task_key
default--test--7700
task_revision_id
1
config / split
default / test

Official source

initial import