{"id":"cb_question_bank:187f0a31-581b-4cd7-8373-6d603a9aeea1","source_id":"cb_question_bank","source_item_id":"187f0a31-581b-4cd7-8373-6d603a9aeea1","external_id":null,"ibn":"070920-DC","question_id":"46545dd6","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":"The table above shows the number of students from two different high schools who completed summer internships in each of five years. No student attended both schools. Of the students who completed a summer internship in 2010, which of the following represents the fraction of students who were from Valley High School?","stimulus":"Number of High School Students Who Completed Summer Internships High school Year 2008 2009 2010 2011 2012 Foothill 87 80 75 76 70 Valley 44 54 65 76 82 Total 131 134 140 152 152","stimulus_html":"<div><table class=\"table_WithBorder\" style=\"width: 33%;\"><caption><span class=\"title_line passage-title\">Number of High School Students Who<br>Completed Summer Internships</span></caption><thead><tr><th colspan=\"1\" rowspan=\"2\" scope=\"col\" style=\"text-align: left; vertical-align: middle;\">High school</th><th colspan=\"5\" rowspan=\"1\" scope=\"colgroup\" style=\"text-align: center; vertical-align: middle;\">Year</th></tr><tr><th scope=\"col\" style=\"text-align: center; vertical-align: middle;\">2008</th><th scope=\"col\" style=\"text-align: center; vertical-align: middle;\">2009</th><th scope=\"col\" style=\"text-align: center; vertical-align: middle;\">2010</th><th scope=\"col\" style=\"text-align: center; vertical-align: middle;\">2011</th><th scope=\"col\" style=\"text-align: center; vertical-align: middle;\">2012</th></tr><tr></tr></thead><tbody><tr><th scope=\"row\" style=\"text-align: left; vertical-align: middle;\">Foothill</th><td style=\"text-align: center; vertical-align: middle;\">87</td><td style=\"text-align: center; vertical-align: middle;\">80</td><td style=\"text-align: center; vertical-align: middle;\">75</td><td style=\"text-align: center; vertical-align: middle;\">76</td><td style=\"text-align: center; vertical-align: middle;\">70</td></tr><tr><th scope=\"row\" style=\"text-align: left; vertical-align: middle;\">Valley</th><td style=\"text-align: center; vertical-align: middle;\">44</td><td style=\"text-align: center; vertical-align: middle;\">54</td><td style=\"text-align: center; vertical-align: middle;\">65</td><td style=\"text-align: center; vertical-align: middle;\">76</td><td style=\"text-align: center; vertical-align: middle;\">82</td></tr><tr><th scope=\"row\" style=\"text-align: center; vertical-align: middle;\">Total</th><td style=\"text-align: center; vertical-align: middle;\">131</td><td style=\"text-align: center; vertical-align: middle;\">134</td><td style=\"text-align: center; vertical-align: middle;\">140</td><td style=\"text-align: center; vertical-align: middle;\">152</td><td style=\"text-align: center; vertical-align: middle;\">152</td></tr></tbody></table></div>\n","stem_html":"<p class=\"stem_paragraph \">The table above shows the number of students from two different high schools who completed summer internships in each of five years. No student attended both schools. Of the students who completed a summer internship in 2010, which of the following represents the fraction of students who were from Valley High School?</p>\n","rationale_html":"<p>Choice B is correct. According to the table, 140 students from the two high schools completed summer internships in 2010. Of these, 65 were from Valley High School. Therefore, of the students who completed summer internships in 2010, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/92be950c5ac2f56b45043df891db34e2462dc724aca5f65706d40f16753104e2\" alt=\"the fraction 65 over 140 \"></span> represents the fraction who were from Valley High School.</p><p>Choice A is incorrect. This is the difference between the numbers of students from the two high schools who completed internships in 2010 divided by the total number of students from the two schools who completed internships that year. Choice C is incorrect. This is the fraction of students from Foothill High School who completed internships out of all the students who completed internships in 2010. Choice D is incorrect. This is the number of students from Valley High School who completed internships in 2010 divided by the number of students from Foothill High School who completed internships in 2010.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.633000+00:00","source_updated_at":"2023-08-02T20:25:59.633000+00:00","options":[{"label":"A","content_html":"<p><span class=\"choice_cell align:center \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7384270b62348a194493c557db3434b4fdbbe448c6af4ca73a30ff4bd3625093\" alt=\"10 over 140\"></span></span> </span></p>\n","ord":0},{"label":"B","content_html":"<p><span class=\"choice_cell align:center \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/92be950c5ac2f56b45043df891db34e2462dc724aca5f65706d40f16753104e2\" alt=\"65 over 140\"></span></span> </span></p>\n","ord":1},{"label":"C","content_html":"<p><span class=\"choice_cell align:center \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7a76366dc7247062488eb1d181f66a5e6bbdf12ca3cc4a6733b36070de63d69a\" alt=\"75 over 140\"></span></span> </span></p>\n","ord":2},{"label":"D","content_html":"<p><span class=\"choice_cell align:center \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/02897852b4cf1f368f8bcd74908b820f898a98b93ad043d18f5ed3f3af117267\" alt=\"65 over 75\"></span></span> </span></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}}