{"id":"cb_practice_pdf:t8-math-m1-q2","source_id":"cb_practice_pdf","source_item_id":"t8-math-m1-q2","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-8","module_number":1,"position":2,"stem":"- -_particular_machine_that_produces - - - - - -_beads,_29_out - ~ For a of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probability of selecting a bead that has a defect?","stimulus":"","stimulus_html":null,"stem_html":"<p>- -_particular_machine_that_produces - - - - - -_beads,_29_out - ~ For a of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probability of selecting a bead that has a defect?</p>","rationale_html":"<p>29 100 Choice C is correct. It’s given that out of every beads that the machine produces have a defect. It follows that if the machine produces k beads, then the 29 number of beads that have a defect is 100k, for some constant k. If a bead produced by the machine will be selected at random, the probability of selecting a 29 bead that has a defect is given by the number of beads with a defect, 100k, divided by the number of beads produced by the machine, k. Therefore, the 29 100k 29 probability of selecting a bead that has a defect is , or 100. k Choice A is incorrect and may result from conceptual or computational errors. Choice B is incorrect and may result from conceptual or computational errors. Choice D is incorrect and may result from conceptual or computational errors.</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>1/2,900</p>","ord":0},{"label":"B","content_html":"<p>1/29</p>","ord":1},{"label":"C","content_html":"<p>29/100</p>","ord":2},{"label":"D","content_html":"<p>29/10</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}