{"id":"cb_question_bank:f6f19305-68e4-4fc9-a4d2-6c3ddccad753","source_id":"cb_question_bank","source_item_id":"f6f19305-68e4-4fc9-a4d2-6c3ddccad753","external_id":null,"ibn":"026603-DC","question_id":"ecd09c38","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.E.","skill":"Probability and conditional probability","difficulty":"H","score_band":6,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If a caller last Monday who asked about his or her bill is selected at random, which of the following is closest to the probability that the customer also asked for repairs?","stimulus":"Employees working for a customer service line at an electric company recorded all the calls last Monday and noted whether the caller asked for repairs and whether the caller asked about a bill. The results are summarized in the table below. Asked for repairs Did not ask for repairs Total Asked about a bill 48 623 671 Did not ask about a bill 130 90 220 Total 178 713 891","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"passage \">\n          <div class=\"prose style:1 \">\n            <p class=\"passage_para \">Employees working for a customer service line at an electric company recorded all the calls last Monday and noted whether the caller asked for repairs and whether the caller asked about a bill. The results are summarized in the table below.</p>\n            <div class=\"tcp-d43e6477-49e7-4f02-b17a-662764be9408\">\n              <table class=\"table_WithBorder tcp-0ab1c1ad-5e67-415b-81fc-0bedf6913dcc\"><tbody><tr><td class=\"tcp-4d988c5b-aedb-4fc8-ac60-4b35ed35fb46\"></td>\n                    <td class=\"tcp-1591536d-ad85-4256-8405-54b0732f2272\">Asked for<br> &nbsp;repairs</td>\n                    <td class=\"tcp-9aa76948-b50a-4f2e-accb-b8ca92f8cbaa\">Did not ask<br> &nbsp;for repairs</td>\n                    <td class=\"tcp-1523dbce-6056-462e-9ee2-020dbe05e234\">Total</td>\n                  </tr><tr><td class=\"tcp-0570959b-22ab-4539-9594-736e1b1bd9ef\">Asked<br> &nbsp;about a bill</td>\n                    <td class=\"tcp-a051dddb-c891-4438-a097-b0a7b2e35aee\">48</td>\n                    <td class=\"tcp-07a6e59a-be97-484c-9c8e-80edb3294324\">623</td>\n                    <td class=\"tcp-aac533b5-9fbf-4160-afb9-5e420f2446fd\">671</td>\n                  </tr><tr><td class=\"tcp-d46059fa-072f-4365-ab7e-ec3f1a4b6e33\">Did not ask<br> &nbsp;about a bill</td>\n                    <td class=\"tcp-7158ace7-e652-4385-9505-3801aedec145\">130</td>\n                    <td class=\"tcp-44dde642-bd15-41fd-a6cb-82bb4c370347\">90</td>\n                    <td class=\"tcp-7c202912-7f0f-4c1b-9c31-52484693cd72\">220</td>\n                  </tr><tr><td class=\"tcp-e2a42fb0-890a-4790-884a-c686f3025216\">Total</td>\n                    <td class=\"tcp-6a4792cf-ad5f-4bda-9854-73889772f978\">178</td>\n                    <td class=\"tcp-bdf3e60c-0f8e-4289-bcca-31b934c54761\">713</td>\n                    <td class=\"tcp-8720bdf4-8a58-4d7e-b3a3-4dca2f110ef2\">891</td>\n                  </tr></tbody></table></div>\n          </div>\n        </div>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">If a caller last Monday who asked about his or her bill is selected at random, which of the following is closest to the probability that the customer also asked for repairs?</p>\n","rationale_html":"<p>Choice B is correct. According to the table, a total of 671 customers asked about a bill. Of these, 48 also asked for repairs. Therefore, if a customer who asked about a bill is selected at random, the probability that the customer also asked for repairs is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3f7b601cff337e7d6dd22023bf5342a4fd4f49f68d9e26570c4fd59d65d59929\" alt=\"48 over 671 is approximately equal to 0 point 0 7\"></span>.</p><p>Choice A is incorrect. This is the probability that a customer selected at random from all customers who called on Monday both asked for repairs and asked about a bill. Choice C is incorrect. This is the probability that a customer selected at random from all customers who called on Monday asked for repairs, regardless of whether or not the customer asked about a bill. Choice D is incorrect. This is the probability that a customer selected at random from those who asked for repairs also asked about a bill.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.620000+00:00","source_updated_at":"2023-08-02T20:25:59.620000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">0.05</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">0.07</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">0.20</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">0.27</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}}