{"id":"cb_question_bank:303c6eb0-3a6a-484b-928d-afc13a0a6d99","source_id":"cb_question_bank","source_item_id":"303c6eb0-3a6a-484b-928d-afc13a0a6d99","external_id":"32990085-cbdb-4725-a6e0-26a13c42cce0","ibn":null,"question_id":"47624288","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":"The table gives the distribution of votes for a new school mascot and grade level for 80 students. Mascot Grade level 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":"

The table gives the distribution of votes for a new school mascot and grade level for 80\n students.

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
MascotGrade level
SixthSeventhEighthTotal
Badger4\n9\n9\n22\n
Lion9\n2\n9\n20\n
Longhorn4\n6\n4\n14\n
Tiger6\n9\n9\n24\n
Total23\n26\n31\n80\n
\n

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? 

","rationale_html":"

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 indicates that the number of votes for a lion is 20\n votes, and the total number of votes is 80\n votes. The table gives the distribution of votes for 80\n students, and the table shows a total of 80 votes were counted. It follows that each of the 80\n students voted exactly once. Thus, the probability of selecting a student whose vote for the new mascot was for a lion is 2080, or 14.

\n

Choice A is incorrect and may result from conceptual or computational errors.

\n

Choice B is incorrect and may result from conceptual or computational errors.

\n

Choice D is incorrect and may result from conceptual or computational errors.

","correct_answer":["C"],"has_media":false,"has_mathml":true,"has_table":true,"source_created_at":"2023-08-02T20:25:59.835000+00:00","source_updated_at":"2023-08-02T20:25:59.835000+00:00","options":[{"label":"A","content_html":"

\n\t1\n\t9\n\n

","ord":0},{"label":"B","content_html":"

\n\t1\n\t5\n\n

","ord":1},{"label":"C","content_html":"

\n\t1\n\t4\n\n

","ord":2},{"label":"D","content_html":"

\n\t2\n\t3\n\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}}