{"id":"cb_question_bank:058c9d2b-2937-42a4-8e36-6da7a43124bf","source_id":"cb_question_bank","source_item_id":"058c9d2b-2937-42a4-8e36-6da7a43124bf","external_id":null,"ibn":"025856-DC","question_id":"b1b5300b","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":"The table above shows information about 14 cars listed for sale on an auto dealership’s website. If one of the cars listed for sale is selected at random, what is the probability that the car selected will be a hybrid car priced at no more than $25,000 ?","stimulus":"Prices of 14 Different Cars Type of car Priced at no more than $25,000 Priced greater than $25,000 Total Nonhybrid 5 3 8 Hybrid 2 4 6 Total 7 7 14","stimulus_html":"<div class=\"stimulus_reference\">\n        <table class=\"table_WithBorder tcp-b88bb88e-7c5f-4529-a9a6-333cc7c7bf27\"><caption>Prices of 14 Different Cars</caption>\n          <tbody><tr><td class=\"tcp-66d20239-c8b4-4d3f-a9b5-f4802c9707cd\">Type of car</td>\n              <td class=\"tcp-46d4bd36-f9b3-442c-b686-fd0d55f5450d\">Priced at no more<br> &nbsp;than $25,000</td>\n              <td class=\"tcp-8df36ac7-65e1-433b-bb21-14ef0c0757d8\">Priced greater<br> &nbsp;than $25,000</td>\n              <td class=\"tcp-3e8abc78-bdbb-4b2c-8f3b-bf6c46da1a01\">Total</td>\n            </tr><tr><td class=\"tcp-f3bdf422-4bef-4c74-b8ba-4a2b99980336\">Nonhybrid</td>\n              <td class=\"tcp-5dcba8ae-46e4-4148-95c6-72882f147e4e\">5</td>\n              <td class=\"tcp-837091ea-415f-4312-8317-d92ba7709e86\">3</td>\n              <td class=\"tcp-132ebab9-6994-478e-b2e1-fea47af2f182\">8</td>\n            </tr><tr><td class=\"tcp-1a010d3e-e5ac-4cad-91fa-d3bd69d53148\">Hybrid</td>\n              <td class=\"tcp-f51231ca-3bd9-4229-854f-530c094efdd7\">2</td>\n              <td class=\"tcp-a9ff2060-f86a-46f1-bbad-badaa972e6c4\">4</td>\n              <td class=\"tcp-0aac33fc-e7f1-4024-ba44-34b1fa45c91f\">6</td>\n            </tr><tr><td class=\"tcp-f4abb043-9640-444b-b6e6-98ea05c0c68f\">Total</td>\n              <td class=\"tcp-e01280ba-13c6-4437-9c2e-43f50a69aa1f\">7</td>\n              <td class=\"tcp-afd593b0-8373-44c5-b89b-439d5e3e865f\">7</td>\n              <td class=\"tcp-6cee79c3-6256-4c0b-bc04-048cfb273aa0\">14</td>\n            </tr></tbody></table></div>\n","stem_html":"<div class=\"item_stem\">The table above shows information about 14 cars listed for sale on an auto dealership’s website. If one of the cars listed for sale is selected at random, what is the probability that the car selected will be a hybrid car priced at no more than $25,000 ?</div>\n","rationale_html":"<p>Choice A is correct. It’s given that there are 2 hybrid cars priced at no more than $25,000. It’s also given that there are 14 cars total for sale. Therefore, the probability of selecting a hybrid priced at no more than $25,000 when one car is chosen at random is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/29346e584397c45d753261687fb8e9d22f61182d0b55a4315fffbfe084c40cb0\" alt=\"2 over 14 equals one seventh\"></span>.</p><p>Choice B is incorrect. This is the probability of selecting a hybrid car priced greater than $25,000 when choosing one car at random. Choice C is incorrect. This is the probability, when choosing randomly from only the hybrid cars, of selecting one priced at no more than $25,000. Choice D is incorrect. This is the probability of selecting a hybrid car when selecting at random from only the cars priced greater than $25,000.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.620000+00:00","source_updated_at":"2023-08-02T20:25:59.620000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/70a204fdd7db1acf6cdfff76af7fc2d4a523687eaa17795e82909c9b7444c94f\" alt=\"one seventh\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4e0f7a7202e0c8ef635fbb181a484e256687a4acaefcca9ecac81f3f8fcb4efc\" alt=\"two sevenths\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fce26b7f770543c2e33190a4ea311aa1f4d8da39df9b43ef0ea5dfff882a8571\" alt=\"one third\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/11c5d9b369155f87c9186713cb805a8c05d93e24ae351b3da1c515c66cc1de12\" alt=\"four sevenths\"></span></span>\n          </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}}