{"id":"cb_question_bank:8139c92f-0c9e-47a5-a403-3d324f1a4345","source_id":"cb_question_bank","source_item_id":"8139c92f-0c9e-47a5-a403-3d324f1a4345","external_id":null,"ibn":"08226-DC","question_id":"912cd125","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.E.","skill":"Probability and conditional probability","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If one of the days on which there was no rain is selected at random, what is the probability the day was a weekend day?","stimulus":"For a science project, Anka recorded whether it rained each weekday and weekend day for 12 weeks. Her results are summarized in the table below. Weekday and Weekend Day Rain for 12 Weeks Rain No rain Total Number of weekdays 12 48 60 Number of weekend days 8 16 24 Total 20 64 84","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"passage \">\n          <div class=\"prose style:1 \">\n            <p class=\"passage_para \">For a science project, Anka recorded whether it rained each weekday and weekend day for 12&nbsp;weeks. Her results are summarized in the table below.</p>\n            <div class=\"tcp-bfce9c25-f533-4c4d-9d6d-d0ec1c427561\">\n              <table class=\"table_WithBorder tcp-ed9db193-318c-4e20-af8f-a3a23d7c04fc\"><caption>Weekday and Weekend Day Rain for 12 Weeks</caption>\n                <tbody><tr><td></td>\n                    <td>Rain</td>\n                    <td>No rain</td>\n                    <td>Total</td>\n                  </tr><tr><td>Number of weekdays</td>\n                    <td class=\"para_right\">12</td>\n                    <td class=\"para_right\">48</td>\n                    <td class=\"para_right\">60</td>\n                  </tr><tr><td>Number of weekend days</td>\n                    <td class=\"para_right\">8</td>\n                    <td class=\"para_right\">16</td>\n                    <td class=\"para_right\">24</td>\n                  </tr><tr><td>Total</td>\n                    <td class=\"para_right\">20</td>\n                    <td class=\"para_right\">64</td>\n                    <td class=\"para_right\">84</td>\n                  </tr></tbody></table></div>\n          </div>\n        </div>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">If one of the days on which there was no rain is selected at random, what is the probability the day was a weekend day?</p>\n","rationale_html":"<p>Choice B is correct. There were 64 days with no rain. It was a weekend day for 16 of those 64 days. So 16 out of 64 of the days with no rain were weekend days. Because the day is selected at random, each day has an equal chance of being selected, so the probability is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b68e26dd0b56dfe1201dd1b67bbb41a847be5c73e2156f01e24e7598132bfd5c\" alt=\"the fraction 16 over 64, equals the fraction 1 over 4\"></span>.</p><p>\n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        Choice A is incorrect. It is the probability that a day selected at random from any one of the days during the 12 weeks is a weekend day with no rain. Choice C is incorrect. It is the probability that a day selected at random from the weekend days has no rain. Choice D is incorrect. It is the probability that a day selected at random from the days with no rain is a weekday.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.635000+00:00","source_updated_at":"2023-08-02T20:25:59.635000+00:00","options":[{"label":"A","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4447d37a49c584ffbf48803ae475cce772081feff8441059f3a71b866a176976\" alt=\"the fraction 4 over 21\"></span></span>\n","ord":0},{"label":"B","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c2cdda43637be35379a891f9cbba6a665ae6aa43f563929757acf84127e4bcef\" alt=\"the fraction 1 over 4\"></span></span>\n","ord":1},{"label":"C","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5e452a76bfb1bc8798dfa5f8f07644d9974e418ffb7f45cac895d48fd76d755c\" alt=\"the fraction 2 over 3\"></span></span>\n","ord":2},{"label":"D","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b66901330890b6e3cf57fc87badb8d20fda5cee27ab863f2ec195b83e585ed89\" alt=\"the fraction 3 over 4\"></span></span>\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}}