{"id":"cb_question_bank:b0f68a73-2e76-4034-bdf0-cc3e16b290d5","source_id":"cb_question_bank","source_item_id":"b0f68a73-2e76-4034-bdf0-cc3e16b290d5","external_id":null,"ibn":"028964-DC","question_id":"b6569d0e","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.E.","skill":"Probability and conditional probability","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The table above gives the number of United States presidents from 1789 to 2015 whose age at the time they first took office is within the interval listed. Of those presidents who were at least 50 years old when they first took office, what fraction were at least 60 years old?","stimulus":"United States Presidents from 1789 to 2015 Ages Number 40–44 2 45–49 7 50–54 13 55–59 11 60–64 7 65–69 3","stimulus_html":"
\n
\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
\n United States Presidents
\nfrom 1789 to 2015\n
AgesNumber
40–442
45–497
50–5413
55–5911
60–647
65–693
\n
\n","stem_html":"

The table above gives the number of United States presidents from 1789 to 2015 whose age at the time they first took office is within the interval listed. Of those presidents who were at least 50 years old when they first took office, what fraction were at least 60 years old?

\n","rationale_html":"

Choice B is correct. The sample space is restricted to the presidents who were at least 50 years old when they first took office. Therefore, the sum of the values in the final four rows of the table, \"13, is the total number of presidents in the sample space. The number of presidents who were at least 60 years old is the sum of the values in the final two rows of the table: \"7. Thus, the fraction of the 34 presidents who were at least 50 years old when they first took office who were at least 60 years old is \"10.

Choice A is incorrect. This is the fraction of all presidents in the table who were at least 60 years old when they first took office. Choice C is incorrect and may result from treating the number of presidents who were between 50 and 59 years old when they first took office, instead of the number of presidents who were at least 50 years old, as the sample space. Choice D is incorrect and may result from a calculation error.

\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.623000+00:00","source_updated_at":"2023-08-02T20:25:59.623000+00:00","options":[{"label":"A","content_html":"

\n \n \"10\n

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

\n \n \"10\n

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

\n \n \"10\n

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

\n \n \"25\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}}