{"id":"cb_question_bank:1330a84f-e21d-4695-8062-ae489ebb2a27","source_id":"cb_question_bank","source_item_id":"1330a84f-e21d-4695-8062-ae489ebb2a27","external_id":null,"ibn":"022828-DC","question_id":"d89c1513","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.E.","skill":"Probability and conditional probability","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Customer Purchases at a Gas Station Beverage purchased Beverage not purchased Total Gasoline purchased 60 25 85 Gasoline not purchased 35 15 50 Total 90 40 135 On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?","stimulus":"","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"passage \">\n          <div class=\"prose style:1 \"></div>\n        </div>\n      </div>\n","stem_html":"<div class=\"tcp-3d646db2-b001-4827-83f2-417c86f7484a\">\n            <table class=\"table_WithBorder tcp-a941e991-39e6-4be9-9285-30afb9eef87b\"><caption>Customer Purchases at a Gas Station</caption>\n              <tbody><tr><td class=\"tcp-b3b44fc5-0192-4460-92d6-cb8f4617e526\"></td>\n                  <td class=\"tcp-9ddeecbb-f576-47ad-8f8f-bd3f0455fc76\">Beverage purchased</td>\n                  <td class=\"tcp-369fffcd-74f2-4334-be88-49d38997b145\">Beverage not purchased</td>\n                  <td class=\"tcp-7a96acad-3f1f-43e8-8849-4c77281bd6d9\">Total</td>\n                </tr><tr><td class=\"tcp-5704d7b1-9842-4e18-a849-3d71ef786707\">Gasoline purchased</td>\n                  <td class=\"tcp-624b53eb-3070-471e-b21e-63857d166f58\">60</td>\n                  <td class=\"tcp-59e1376b-53ec-472d-94f8-67fe0c247692\">25</td>\n                  <td class=\"tcp-6980a7d3-9f73-4e61-9008-052b49dd9c18\">85</td>\n                </tr><tr><td class=\"tcp-643d159f-6713-4dc6-b71f-0672e6226ae9\">Gasoline not purchased</td>\n                  <td class=\"tcp-56d5c23f-2d01-448b-a5c1-b12b68fa8f13\">35</td>\n                  <td class=\"tcp-1d3f01d5-8123-4584-985b-821f6d4d519e\">15</td>\n                  <td class=\"tcp-7ae4aa9e-649f-40dd-b482-bde562913196\">50</td>\n                </tr><tr><td class=\"tcp-fc83c8d2-278d-421a-b1bb-fb829fcb6fb8\">Total</td>\n                  <td class=\"tcp-fa6a1bae-d732-43a6-bce0-44788fc6783d\">90</td>\n                  <td class=\"tcp-09b65877-4e14-495c-8834-42fd0d590ee4\">40</td>\n                  <td class=\"tcp-9743194a-b19c-488a-bd35-2ef1cedd5f1d\">135</td>\n                </tr></tbody></table><p class=\"stem_paragraph \">On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did <span class=\"underline\"><span class=\" underline \">not</span></span> purchase gasoline?</p></div>\n","rationale_html":"<p>Choice D is correct. The total number of gas station customers on Tuesday was 135. The table shows that the number of customers who did not purchase gasoline was 50. Finding the ratio of the number of customers who did not purchase gasoline to the total number of customers gives the probability that a customer selected at random on that day did not purchase gasoline, which is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c7e6c88d598590f32f54c7d11cd647b2077d9f231591255b79466c109f040276\" alt=\"50 over 135\"></span>.</p><p>Choice A is incorrect and may result from finding the probability that a customer did not purchase a beverage, given that the customer did not purchase gasoline. Choice B is incorrect and may result from finding the probability that a customer did not purchase gasoline, given that the customer did not purchase a beverage. Choice C is incorrect and may result from finding the probability that a customer did purchase a beverage, given that the customer did not purchase gasoline.</p><p></p>\n","correct_answer":["D"],"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 \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/37fff4e4c59d5dea1c0f97a28efe0bf180fe89333899fe671a4ce73db9b1cdba\" alt=\"15 over 50\"></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/f9f6393dd2122ab06cc1cbb8d46a4daa4be508873fab748aeb1171b4dee97ed4\" alt=\"15 over 40\"></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/787e9cd7e1b990a068beda693263146621b24eaf58b68b08f4b0a7d0bac5e312\" alt=\"35 over 50\"></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/c7e6c88d598590f32f54c7d11cd647b2077d9f231591255b79466c109f040276\" alt=\"50 over 135\"></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}}