{"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":"d86b67d1-8c13-55bd-81ba-f4def7c88f87","task_key":"counting~5fand~5fprobability--test--d86b67d1-8c13-55bd-81ba-f4def7c88f87","task_revision_id":"1","upstream_id":"","short_description":"In a lottery, a ticket costs $\\$3$, and the jackpot is worth $\\$250000$. In all,…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In a lottery, a ticket costs $\\\\$3$, and the jackpot is worth $\\\\$250000$. In all, $100000$ tickets are sold, one ticket is randomly drawn, and the winner is awarded the jackpot. What are the expected winnings in dollars of buying one ticket (including the cost of the ticket)?\",\"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":[]}