{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"461c987d-90d9-5893-abbf-a1e2ebc4c7eb","task_key":"counting~5fand~5fprobability--test--461c987d-90d9-5893-abbf-a1e2ebc4c7eb","task_revision_id":"1","upstream_id":"","short_description":"A player chooses one of the numbers 1 through 4. After the choice has been made,…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"A player chooses one of the numbers 1 through 4. After the choice has been made, two regular four-sided (tetrahedral) dice are rolled, with the sides of the dice numbered 1 through 4. If the number chosen appears on the bottom of exactly one die after it is rolled, then the player wins $\\\\$1.$ If the number chosen appears on the bottom of both of the dice, then the player wins $\\\\$2.$ If the number chosen does not appear on the bottom of either of the dice, the player loses $\\\\$1.$ What is the expected return to the player, in dollars, for one roll of the dice? Give your answer as a fraction.\",\"type\":\"Counting & Probability\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}