{"id":"cb_question_bank:e085dcde-bd57-4548-b543-5e4afd501273","source_id":"cb_question_bank","source_item_id":"e085dcde-bd57-4548-b543-5e4afd501273","external_id":"358c4098-f436-45ec-84bc-42d1c0fa62e0","ibn":null,"question_id":"4e527894","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":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"There are 20 buttons in a bag: 8 white buttons, 2 orange buttons, and 10 brown buttons. If one of these buttons is selected at random, what is the probability of selecting a white button?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">There are <math alttext=\"20\"><mn>20</mn>\n</math> buttons in a bag: <math alttext=\"8\"><mn>8</mn>\n</math> white buttons, <math alttext=\"2\"><mn>2</mn>\n</math> orange buttons, and <math alttext=\"10\"><mn>10</mn>\n</math> brown buttons. If one of these buttons is selected at random, what is the probability of selecting a white button?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. It’s given that there are <math alttext=\"20\"><mn>20</mn>\n</math> buttons in a bag and <math alttext=\"8\"><mn>8</mn>\n</math> of the buttons are white. If one button from the bag is selected at random, the probability of selecting a white button is the number of white buttons in the bag divided by the total number of buttons in the bag. Therefore, if one button from the bag is selected at random, the probability of selecting a white button is <math alttext=\"eight twentieths\"><mfrac><mn>8</mn><mn>20</mn></mfrac></math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This is the probability of selecting an orange button from the bag.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This is the probability of selecting a brown button from the bag.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This is the probability of selecting a button that isn't white from the bag.</p>","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.835000+00:00","source_updated_at":"2023-08-02T20:25:59.835000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"two twentieths\"><mfrac><mn>2</mn><mn>20</mn></mfrac></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"eight twentieths\"><mfrac><mn>8</mn><mn>20</mn></mfrac></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"StartFraction 10 Over 20 EndFraction\"><mfrac><mn>10</mn><mn>20</mn></mfrac></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"StartFraction 12 Over 20 EndFraction\"><mfrac><mn>12</mn><mn>20</mn></mfrac></math></p>","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}}