{"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":"57630fd2-05e9-5eec-b46c-f7b86ccbb77f","task_key":"counting~5fand~5fprobability--test--57630fd2-05e9-5eec-b46c-f7b86ccbb77f","task_revision_id":"1","upstream_id":"","short_description":"While staying in a 15-story hotel, Polya plays the following game. She enters an…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"While staying in a 15-story hotel, Polya plays the following game. She enters an elevator on the $6^{\\\\mathrm{th}}$ floor. She flips a fair coin five times to determine her next five stops. Each time she flips heads, she goes up one floor. Each time she flips tails, she goes down one floor. What is the probability that each of her next five stops is on the $7^{\\\\mathrm{th}}$ floor or higher? Express your answer as a common 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":[]}