{"id":"cb_question_bank:18d6cced-5c55-4478-9986-c03fb4efb2f4","source_id":"cb_question_bank","source_item_id":"18d6cced-5c55-4478-9986-c03fb4efb2f4","external_id":null,"ibn":"027079-DC","question_id":"16cea46c","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":"A total of 25 men registered for singing lessons. The frequency table shows how many of these singers have certain voice types. If one of these singers is selected at random, what is the probability he is a baritone?","stimulus":"Voice type Number of singers Countertenor 4 Tenor 6 Baritone 10 Bass 5","stimulus_html":"<div class=\"stimulus_reference \">\n        <table class=\"tableWithBorder\"><tbody><tr><td class=\"tableWithBorderTd td87549a45-2da9-4bdd-8565-8f8951039a47\">Voice type</td>\n              <td class=\"tableWithBorderTd tde8904704-ef5d-4ec5-a6f6-c9be1bbeda0b\">Number of singers</td>\n            </tr><tr><td class=\"tableWithBorderTd\">Countertenor</td>\n              <td class=\"tableWithBorderTd td27ad9818-b6bd-4659-86e1-e9ce078a33a5 para_center\">4</td>\n            </tr><tr><td class=\"tableWithBorderTd\">Tenor</td>\n              <td class=\"tableWithBorderTd td798e2a37-1810-471e-9843-9ba15a66183a para_center\">6</td>\n            </tr><tr><td class=\"tableWithBorderTd\">Baritone</td>\n              <td class=\"tableWithBorderTd td031f6e05-349a-4f82-a821-4589a21b4ca0 para_center\">10</td>\n            </tr><tr><td class=\"tableWithBorderTd\">Bass</td>\n              <td class=\"tableWithBorderTd tdc12188cb-6c90-4b2f-b932-518e1e6d2c1a para_center\">5</td>\n            </tr></tbody></table></div>\n","stem_html":"<p class=\"stem_paragraph \">A total of 25 men registered for singing lessons. The frequency table shows how many of these singers have certain voice types. If one of these singers is selected at random, what is the probability he is a baritone?</p>\n","rationale_html":"<p>Choice B is correct. This probability is calculated by dividing the number of baritone singers by the total number of men registered for singing lessons. It’s given that a total of 25 men registered for singing lessons and that there are 10 baritones. Therefore, the probability of selecting a baritone from this group at random is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/664100eb5b83e1dbb5f288a4c2ccbaa565fa528fe5ba745e772b6a3173f7ab35\" alt=\"10 over 25\"></span>, which is equivalent to 0.40.</p><p>Choice A is incorrect. This would be the probability of selecting a baritone at random if there were 100 total men who registered for singing lessons. Choice C is incorrect. This is the probability of selecting a singer at random who isn’t a baritone. Choice D is incorrect. This would be the probability of selecting a baritone at random if there were 15 total men registered for singing lessons.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.621000+00:00","source_updated_at":"2023-08-02T20:25:59.621000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">0.10</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">0.40</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">0.60</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">0.67</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}}