{"id":"cb_question_bank:e796da1f-19f5-4299-9b11-c6d1a5c28717","source_id":"cb_question_bank","source_item_id":"e796da1f-19f5-4299-9b11-c6d1a5c28717","external_id":"8ca1b832-2ebe-42a6-8230-1909e855394d","ibn":null,"question_id":"46b2e169","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":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A box contains 13 red pens and 37 blue pens. If one of these pens is selected at random, what is the probability of selecting a red pen? (Express your answer as a decimal or fraction, not as a percent.)","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A box contains <math alttext=\"13\"><mn>13</mn>\n</math> red pens and <math alttext=\"37\"><mn>37</mn>\n</math> blue pens. If one of these pens is selected at random, what is the probability of selecting a red pen? (Express your answer as a decimal or fraction, not as a percent.)</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"StartFraction 13 Over 50 EndFraction\"><mfrac><mn>13</mn><mn>50</mn></mfrac></math>. It's given that a box contains <math alttext=\"13\"><mn>13</mn>\n</math> red pens and <math alttext=\"37\"><mn>37</mn>\n</math> blue pens. If one of these pens is selected at random, the probability of selecting a red pen is the number of red pens in the box divided by the number of red and blue pens in the box. The number of red and blue pens in the box is <math alttext=\"13 plus 37\"><mn>13</mn><mo>+</mo><mn>37</mn></math>, or <math alttext=\"50\"><mn>50</mn>\n</math>. Since there are <math alttext=\"13\"><mn>13</mn>\n</math> red pens in the box, it follows that the probability of selecting a red pen is <math alttext=\"StartFraction 13 Over 50 EndFraction\"><mfrac>\n\t<mn>13</mn>\n\t<mn>50</mn>\n</mfrac>\n</math>. Note that 13/50 and .26 are examples of ways to enter a correct answer.</p>","correct_answer":[".26","13/50"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.835000+00:00","source_updated_at":"2023-08-02T20:25:59.835000+00:00","options":[],"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}}