{"id":"cb_question_bank:503c3b16-c0f5-4680-b043-30ac59a11b9a","source_id":"cb_question_bank","source_item_id":"503c3b16-c0f5-4680-b043-30ac59a11b9a","external_id":"ab06bbba-a7a0-4fff-8ab6-c9cf37ff575c","ibn":null,"question_id":"79201024","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":"A band with 45 members has 11 members who play saxophone. If one band member is selected at random, what is the probability of selecting a band member who plays saxophone?","stimulus":"","stimulus_html":null,"stem_html":"<p>A band with <math alttext=\"45\"><mn>45</mn>\n</math> members has <math alttext=\"11\"><mn>11</mn>\n</math> members who play saxophone. If one band member is selected at random, what is the probability of selecting a band member who plays saxophone?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. The probability of an event occurring is the ratio of the number of favorable outcomes to the total number of possible outcomes. It’s given that there are <math alttext=\"45\"><mn>45</mn>\n</math> band members, which is the total number of possible outcomes. It's also given that there are <math alttext=\"11\"><mn>11</mn>\n</math> band members who play saxophone. Therefore, the number of favorable outcomes is <math alttext=\"11\"><mn>11</mn>\n</math>. Thus, the probability of selecting a band member who plays saxophone is <math alttext=\"StartFraction 11 Over 45 EndFraction\"><mfrac><mn>11</mn><mn>45</mn></mfrac></math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This is the probability of selecting a band member who does not play saxophone.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual or calculation errors.</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=\"one forty fifth\"><mfrac><mn>1</mn><mn>45</mn></mfrac></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"StartFraction 11 Over 45 EndFraction\"><mfrac><mn>11</mn><mn>45</mn></mfrac></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"StartFraction 34 Over 45 EndFraction\"><mfrac><mn>34</mn><mn>45</mn></mfrac></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"StartFraction 45 Over 45 EndFraction\"><mfrac><mn>45</mn><mn>45</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}}