{"id":"cb_question_bank:7dc5dc8e-536a-4d8f-a7f3-b29bcbadc141","source_id":"cb_question_bank","source_item_id":"7dc5dc8e-536a-4d8f-a7f3-b29bcbadc141","external_id":null,"ibn":"022066-DC","question_id":"12dbe3de","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":"A store received a shipment of 1,000 MP3 players, 4 of which were defective. If an MP3 player is randomly selected from this shipment, what is the probability that it is defective?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">A store received a shipment of 1,000&nbsp;MP3 players, 4&nbsp;of which were defective. If an MP3 player is randomly selected from this shipment, what is the probability that it is defective?</p>\n","rationale_html":"<p>Choice A is correct. The probability of randomly selecting a defective MP3 player from the shipment is equal to the number of defective MP3 players divided by the total number of MP3 players in the shipment. Therefore, the probability is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/2c46a7e282e69d96acbae91c0d9646b2b981bc0c11b4dc5e424e956991779321\" alt=\"4 over 1,000\"></span>, which is equivalent to 0.004.</p><p>Choice B is incorrect because 0.04 represents 4 defective MP3 players out of 100 rather than out of 1,000. Choice C is incorrect because 0.4 represents 4 defective MP3 players out of 10 rather than out of 1,000. Choice D is incorrect. This is the number of defective MP3 players in the shipment.</p><p>&nbsp;</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.617000+00:00","source_updated_at":"2023-08-02T20:25:59.617000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">0.004</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">0.04</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">0.4</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">4</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}}