{"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":"42f31dfd-451d-5054-953b-80061e9f0a78","task_key":"counting~5fand~5fprobability--test--42f31dfd-451d-5054-953b-80061e9f0a78","task_revision_id":"1","upstream_id":"","short_description":"A bin has 5 white balls and $k$ black balls in it, where $k$ is an unknown…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A bin has 5 white balls and $k$ black balls in it, where $k$ is an unknown positive integer.  A ball is drawn at random from the bin.  If a white ball is drawn, the player wins 1 dollar, but if a black ball is drawn, the player loses 1 dollar.  If the expected $\\\\textit{loss}$ for playing the game is 50 cents, then what is $k$?\",\"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":[]}