{"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":"a99973d0-4535-5aa7-b0c8-7ad16204f0c3","task_key":"counting~5fand~5fprobability--test--a99973d0-4535-5aa7-b0c8-7ad16204f0c3","task_revision_id":"1","upstream_id":"","short_description":"On the number line, point $A$ is located at 0, point $B$ is located at 4, and…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"On the number line, point $A$ is located at 0, point $B$ is located at 4, and point $C$ is located at 6. [asy]\\ndefaultpen(1);\\ndraw((0,0)--(6,0));\\nfor (int i=0;i<7;++i){\\n\\ndraw((i,-.1)--(i,.1));\\n\\nlabel(string(i),(i,-.1),(0,-1));\\n}\\nlabel(\\\"\\\\(A\\\\)\\\",(0,0),(0,1));\\nlabel(\\\"\\\\(B\\\\)\\\",(4,0),(0,1));\\nlabel(\\\"\\\\(C\\\\)\\\",(6,0),(0,1));\\n[/asy] A dart randomly lands somewhere on the number line between $A$ and $C$.  What is the probability that it lands closer to $B$ than it does to $A$ or $C$?\",\"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":[]}