{"id":"cb_practice_pdf:t10-math-m1-q8","source_id":"cb_practice_pdf","source_item_id":"t10-math-m1-q8","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-10","module_number":1,"position":8,"stem":"The table gives the distribution of votes for a new school mascot and grade level for 80 students. Grade level Mascot Sixth Seventh Eighth Total Badger 4 9 9 22 Lion 9 2 9 20 Longhorn 4 6 4 14 Tiger 6 9 9 24 Total 23 26 31 80 If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion?","stimulus":"","stimulus_html":null,"stem_html":"<p>The table gives the distribution of votes for a new school mascot and grade level for 80 students. Grade level Mascot Sixth Seventh Eighth Total Badger 4 9 9 22 Lion 9 2 9 20 Longhorn 4 6 4 14 Tiger 6 9 9 24 Total 23 26 31 80 If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion?</p>","rationale_html":"<p>Choice C is correct. If one of these students is selected at random, the probability of selecting a student whose vote for the new mascot was for a lion is given by the number of votes for a lion divided by the total number of votes. The given table 20 indicates that the number of votes for a lion is votes, and the total number of 80 80 votes is votes. The table gives the distribution of votes for students, and the table shows a total of 80 votes were counted. It follows that each of the 80 students voted exactly once. Thus, the probability of selecting a student 20 1 whose vote for the new mascot was for a lion is 80, or 4. 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>1/9</p>","ord":0},{"label":"B","content_html":"<p>1/5</p>","ord":1},{"label":"C","content_html":"<p>1/4</p>","ord":2},{"label":"D","content_html":"<p>2/3</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}}