{"id":"cb_question_bank:4cf3d95e-d833-4c78-8a99-910320232e4a","source_id":"cb_question_bank","source_item_id":"4cf3d95e-d833-4c78-8a99-910320232e4a","external_id":null,"ibn":"070919-DC","question_id":"ec7b0eb8","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":"In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the table above. If one of the 799 teens surveyed is selected at random, what is the probability that the teen talks on a cell phone daily?","stimulus":"Texting behavior Talks on cell phone daily Does not talk on cell phone daily Total Light 110 146 256 Medium 139 164 303 Heavy 166 74 240 Total 415 384 799","stimulus_html":"<div class=\"tcp-f3f3ce7c-3193-4bbc-be11-c9789662af64\"><table class=\"table_WithBorder tcp-3e34fe1f-81c2-4f08-a86f-2ad6ebafc44a\" style=\"width: 50%;\"><thead><tr><th class=\"tcp-377c7335-9b2c-4de8-934e-b5295a6accb2 para_center\" scope=\"col\" style=\"text-align: center; vertical-align: bottom;\">Texting behavior</th><th class=\"tcp-1797dc05-4f49-4b9f-bf10-e74478d3daac para_center\" scope=\"col\" style=\"text-align: center; vertical-align: bottom;\">Talks on cell phone daily</th><th class=\"tcp-a18f906b-7ea1-43b5-ab7a-2dd9200b79ca para_center\" scope=\"col\" style=\"text-align: center; vertical-align: bottom;\">Does not talk on cell phone daily</th><th class=\"tcp-94b20ab5-9505-4f2f-b370-129449908481 para_center\" scope=\"col\" style=\"text-align: center; vertical-align: bottom;\">Total</th></tr></thead><tbody><tr><th class=\"tcp-c752f947-ae0c-4d39-9225-a644f9618d27\" scope=\"row\" style=\"text-align: left; vertical-align: middle;\">Light</th><td class=\"tcp-48506f47-fe61-48c9-8a3a-10da6472df53 para_center\" style=\"text-align: center;\">110</td><td class=\"tcp-d012a152-8840-4a6d-a5f5-b8297f626b59 para_center\" style=\"text-align: center;\">146</td><td class=\"tcp-51f1dfd1-57d7-4fce-af41-22261b2707e4 para_center\" style=\"text-align: center;\">256</td></tr><tr><th class=\"tcp-61e94159-ec2d-4bb2-a52b-96ccd28357a4\" scope=\"row\" style=\"text-align: left; vertical-align: middle;\">Medium</th><td class=\"tcp-e8173193-e7d9-49a9-9820-95273c31246d para_center\" style=\"text-align: center;\">139</td><td class=\"tcp-7632f94a-4e1a-484a-9010-63322123b57f para_center\" style=\"text-align: center;\">164</td><td class=\"tcp-6f13168d-4e6a-48cd-b07c-710c21519464 para_center\" style=\"text-align: center;\">303</td></tr><tr><th class=\"tcp-4900ea18-665f-49a8-829b-5471951302f4\" scope=\"row\" style=\"text-align: left; vertical-align: middle;\">Heavy</th><td class=\"tcp-a066de45-77d1-432c-9415-7bdca11af6ec para_center\" style=\"text-align: center;\">166</td><td class=\"tcp-846d3f44-9d91-49e7-8335-7938220f54c0 para_center\" style=\"text-align: center;\">74</td><td class=\"tcp-b25d31b2-c95f-4fb8-88e6-99cb5287ce48 para_center\" style=\"text-align: center;\">240</td></tr><tr><th class=\"tcp-17b82204-c12b-4efe-b128-1245c48ce2d9 para_center\" scope=\"row\" style=\"text-align: center; vertical-align: middle;\">Total</th><td class=\"tcp-1d46e7ca-6646-4f3b-80aa-e5e72de8fa40 para_center\" style=\"text-align: center;\">415</td><td class=\"tcp-57161190-747f-4357-a738-bf794b8c0b04 para_center\" style=\"text-align: center;\">384</td><td class=\"tcp-c7e3fbdb-baf8-4ce2-83ed-2ac03493ee61 para_center\" style=\"text-align: center;\">799</td></tr></tbody></table><div id=\"level-access-access-assistant-highlight-container\">&nbsp;</div></div>\n","stem_html":"<p class=\"stem_paragraph \">In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the table above. If one of the 799 teens surveyed is selected at random, what is the probability that the teen talks on a cell phone daily?</p>\n","rationale_html":"<p>Choice B is correct. If one of the teens surveyed is selected at random, the probability that the teen talks on a cell phone daily is equal to the quotient of the total number of teens who reported that they talk on a cell phone daily, 415, and the total number of teens surveyed, 799. Therefore, this probability is equal to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c9ee2cd2258a9447f195e48ff6b803c9695a3dae7ad7462e69dea23adf352c76\" alt=\"415 over 799\"></span>.</p><p>Choice A is incorrect. This fraction represents the probability of selecting at random any one of the 799 teens surveyed. Choice C is incorrect and may result from conceptual errors. Choice D is incorrect. This fraction represents the probability of selecting at random one&nbsp;of the 799 teens surveyed who doesn’t talk on a cell phone daily.&nbsp;</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 class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/2b3abb1ec99bfd1fd84ff54023acd12a0afc77ebedc2e4a59e52e430dcacede3\" alt=\"1 over 799\"></span></span></p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c9ee2cd2258a9447f195e48ff6b803c9695a3dae7ad7462e69dea23adf352c76\" alt=\"415 over 799\"></span></span></p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9fe8706659855d4862bac220537942d6bcd7cb3e5041b3938a4a963366dd38a7\" alt=\"384 over 415\"></span></span></p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/76e54509063d2db18f6b7ecfdc9f19c2586dcb906a6bc2be4fa9e21c671296d2\" alt=\"384 over 799\"></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}}