{"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":"8e08599c-9867-59dc-89cf-911f97ac5eca","task_key":"counting~5fand~5fprobability--test--8e08599c-9867-59dc-89cf-911f97ac5eca","task_revision_id":"1","upstream_id":"","short_description":"An unfair coin lands on heads with probability $\\frac35$, on tails with…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"An unfair coin lands on heads with probability $\\\\frac35$, on tails with probability $\\\\frac15$, and on its edge with probability $\\\\frac15$.  If it comes up heads, I win 4 dollars.  If it comes up tails, I lose 1 dollar.  But if it lands on its edge, I lose 10 dollars.  What is the expected winnings from one flip?  Express your answer as a dollar value, rounded to the nearest cent.\",\"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":[]}