{"id":"cb_question_bank:1f4423fc-d30e-451b-a6fd-b76e6b096694","source_id":"cb_question_bank","source_item_id":"1f4423fc-d30e-451b-a6fd-b76e6b096694","external_id":null,"ibn":"022855-DC","question_id":"0301c5dc","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.E.","skill":"Probability and conditional probability","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If one of these state parks is selected at random, what is the probability that it has camping facilities but does not have bicycle paths?","stimulus":"The table below shows the number of state parks in a certain state that contain camping facilities and bicycle paths. Has bicycle paths Does not have bicycle paths Has camping facilities 20 5 Does not have camping facilities 8 4","stimulus_html":"<div class=\"stimulus_reference \">\n\t<div class=\"passage \">\n\t\t<div class=\"prose style:1 \">\n\t\t\t<p class=\"passage_para \">The table below shows the number of state parks in a certain state that contain camping facilities and bicycle paths.</p>\n\n\t\t\t<table class=\"table_WithBorder\"><tbody><tr><td class=\"tcp-eba8e37c-68bb-4184-950f-044397188e37\">&nbsp;</td>\n\t\t\t\t\t\t<td class=\"tcp-d563c583-86e0-4aeb-bc86-edc831da08be\">Has bicycle paths</td>\n\t\t\t\t\t\t<td class=\"tcp-345afd81-e88e-4877-99d2-4abe83555a99\">Does not have bicycle paths</td>\n\t\t\t\t\t</tr><tr><td class=\"tcp-87d34e82-387c-4750-af1e-36cb2ac5e01e\">Has camping facilities</td>\n\t\t\t\t\t\t<td class=\"tcp-b7a0a37a-55d0-401a-9587-16ad8b10cc15\">20</td>\n\t\t\t\t\t\t<td class=\"tcp-37a06dee-acbd-4dad-a793-d67c1185e5b1\">5</td>\n\t\t\t\t\t</tr><tr><td class=\"tcp-98f78d2b-1813-42f2-b927-66e86ba3680e\">Does not have camping facilities</td>\n\t\t\t\t\t\t<td class=\"tcp-693cd8a6-4f74-4bd8-9319-13262b7643f4\">8</td>\n\t\t\t\t\t\t<td class=\"tcp-b14495d9-012d-451d-822d-80bc6c0b4886\">4</td>\n\t\t\t\t\t</tr></tbody></table></div>\n\t</div>\n</div>\n","stem_html":"<p class=\"stem_paragraph \">If one of these state parks is selected at random, what is the probability that it has camping facilities but does not have bicycle paths?</p>\n","rationale_html":"<p>Choice A is correct. The total number of state parks in the state is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/93b17d56e5155a4625af43ed03222a90546354e9c1399c9899d12549147527db\" alt=\"20, plus 5, plus 8, plus 4, equals 37\"></span>. According to the table, 5 of these have camping facilities but not bicycle paths. Therefore, if a state park is selected at random, the probability that it has camping facilities but not bicycle paths is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ef915c5a5cb5bfb312b9d0dd046a068ea7c34e59ec168381c0e16dc2d09478b9\" alt=\"5 over 37\"></span>.</p><p>Choice B is incorrect. This is the probability that a state park selected at random from the state parks with camping facilities does not have bicycle paths. Choice C is incorrect. This is the probability that a state park selected at random from the state parks with bicycle paths does not have camping facilities. Choice D is incorrect. This is the probability that a state park selected at random from the state parks without bicycle paths does have camping facilities.</p><p>&nbsp;</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.618000+00:00","source_updated_at":"2023-08-02T20:25:59.618000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ef915c5a5cb5bfb312b9d0dd046a068ea7c34e59ec168381c0e16dc2d09478b9\" alt=\"5 over 37\"></span></span></p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/aff8179ad431eabfcceb973d171143d0b0dd7e96ba905ef99bc97d30486cfee3\" alt=\"5 over 25\"></span></span></p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b7c5f035919a198741c01734913feff3c872c641ea2db430398b2404890ced1b\" alt=\"8 over 28\"></span></span></p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/af28828be78c7018132ef76885352666298c9fd5e429fbc7fd6cad80e0086dcf\" alt=\"5 over 9\"></span></span></p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}