{"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":"9f74dc75-6389-5544-a2e7-8428e15e9345","task_key":"counting~5fand~5fprobability--test--9f74dc75-6389-5544-a2e7-8428e15e9345","task_revision_id":"1","upstream_id":"","short_description":"Bin $A$ has one white ball and four black balls. Bin $B$ has three balls labeled…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Bin $A$ has one white ball and four black balls.  Bin $B$ has three balls labeled $\\\\$1$ and one ball labeled $\\\\$7$.  Bin $W$ has five balls labeled $\\\\$8$ and one ball labeled $\\\\$500$.  A game is played as follows: a ball is randomly selected from bin $A$.  If it is black, then a ball is randomly selected from bin $B$; otherwise, if the original ball is white, then a ball is randomly selected from bin $W$.  You win the amount printed on the second ball selected.  What is your expected win?\",\"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":[]}