{"id":"cb_question_bank:9d4f814f-fa61-40dd-869e-e184e740b1d9","source_id":"cb_question_bank","source_item_id":"9d4f814f-fa61-40dd-869e-e184e740b1d9","external_id":null,"ibn":"027081-DC","question_id":"2a08d878","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":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"There are n nonfiction books and 12 fiction books on a bookshelf. If one of these books is selected at random, what is the probability of selecting a nonfiction book, in terms of n ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">There are <span class=\"italic\">n</span>&nbsp;nonfiction books and 12&nbsp;fiction books on a bookshelf. If one of these books is selected at random, what is the probability of selecting a nonfiction book, in terms&nbsp;of&nbsp;<span class=\"italic\">n</span>&nbsp;?</p>\n","rationale_html":"<p>Choice B is correct. Since there are <span class=\"italic\">n</span> nonfiction and 12 fiction books on the bookshelf, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e15cd154fa562e1cee586e62bf97de7306895a518da96130a56811e893654879\" alt=\"n plus 12\"></span> represents the total number of books. If one of these books is selected at random, the probability of selecting a nonfiction book is equivalent to the number of nonfiction books divided by the total number of books. Therefore, the probability of selecting a nonfiction book, in terms of <span class=\"italic\">n</span>, is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/32b83cfbd7b2e5a7da1936e2c08ab5f49b94119822fac7bfc068150ed5905c19\" alt=\"the fraction with numerator n, and denominator n plus 12, end fraction\"></span>.</p><p>Choice A is incorrect. This expression represents the number of nonfiction books divided by the number of fiction books. Choice C is incorrect. This expression represents the number of fiction books divided by the number of nonfiction books. Choice D is incorrect. This expression represents the probability of selecting a fiction book.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"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 \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6b7db2d3df6473d1ab0e79c2ba351b43c696365eac3bdd8ac409f569591a45fd\" alt=\"the fraction n over 12\"></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/32b83cfbd7b2e5a7da1936e2c08ab5f49b94119822fac7bfc068150ed5905c19\" alt=\"the fraction n over n plus 12, end fraction\"></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/039ad61c5311dc49176647198ad8d336b0ac2331ef5b9ef06c33cf75e060c48d\" alt=\"the fraction 12 over n\"></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/c6345e09ec8d217a4f22e905e1cc1149bfc2d685a3ec1c7c894192a55a247dcc\" alt=\"the fraction 12 over n plus 12, end fraction\"></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}}