{"id":"cb_question_bank:129c9a5f-68e4-4b9f-bcd7-9323d16d9122","source_id":"cb_question_bank","source_item_id":"129c9a5f-68e4-4b9f-bcd7-9323d16d9122","external_id":null,"ibn":"021550-DC","question_id":"1353b86e","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":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The table shows the number of different colors of marbles in a bag. If a marble is chosen at random from the bag, what is the probability that the marble will be blue?","stimulus":"Colors of Marbles in a Bag Color Number Red 8 Blue 10 Green 22 Total 40","stimulus_html":"<div class=\"stimulus_reference \">\n\t<div class=\"passage \">\n\t\t<div class=\"prose style:1 \">\n\t\t\t<table class=\"table_WithBorder tcp-9c1cad7d-2170-4f58-98b6-9b2f685ee431\" style=\"width:50px;\"><caption>Colors of Marbles in a Bag</caption>\n\t\t\t\t<tbody><tr><td class=\"tcp-8995a9dd-e7fb-492c-910b-d14b42ebc6f5\" style=\"text-align: center;\">Color</td>\n\t\t\t\t\t\t<td class=\"tcp-c8f956ea-a08d-428f-a57d-d4b2f32c6a88\" style=\"text-align: center;\">Number</td>\n\t\t\t\t\t</tr><tr><td class=\"tcp-2007f031-5fc8-49b9-a13d-7291170b8431\" style=\"text-align: center;\">Red</td>\n\t\t\t\t\t\t<td class=\"para_center tcp-aff6e432-f483-43b7-9b66-ea246b409738\" style=\"text-align: center;\">8</td>\n\t\t\t\t\t</tr><tr><td class=\"tcp-49f453fa-9485-4d56-9a19-e9d4df8080af\" style=\"text-align: center;\">Blue</td>\n\t\t\t\t\t\t<td class=\"para_center tcp-1d6660a6-5984-4848-9a0e-860fe8e92fe5\" style=\"text-align: center;\">10</td>\n\t\t\t\t\t</tr><tr><td class=\"tcp-a35b50d7-91ca-4fa3-8d21-f5dbf965772d\" style=\"text-align: center;\">Green</td>\n\t\t\t\t\t\t<td class=\"para_center tcp-70118a2d-e051-4744-8afd-450aa4c805f2\" style=\"text-align: center;\">22</td>\n\t\t\t\t\t</tr><tr><td class=\"tcp-2046f09b-787f-4259-aab2-3195254aeb05\" style=\"text-align: center;\">Total</td>\n\t\t\t\t\t\t<td class=\"para_center tcp-7380b814-b3f2-4c5e-81ca-0055e6b5b02d\" style=\"text-align: center;\">40</td>\n\t\t\t\t\t</tr></tbody></table></div>\n\t</div>\n</div>\n","stem_html":"<p class=\"stem_paragraph \">The table shows the number of different colors of marbles in a bag. If a marble is chosen at random from the bag, what is the probability that the marble will be blue?</p>\n","rationale_html":"<p>Choice D is correct. If a marble is chosen at random from the bag, the probability of choosing a marble of a certain color is the number of marbles of that color divided by the total number of marbles in the bag. Since there are 10 blue marbles in the bag, and there are 40 total marbles in the bag, the probability that the marble chosen will be blue is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8f71f7884d4356b8691e2cb38a7c88d4e51dda8b0068402df359c8e4fb7e2d4a\" alt=\"10 over 40\"></span>.</p><p>Choices A, B, and C are incorrect. These represent the probability that the marble chosen won’t be blue (choice A), will be green (choice B), and won’t be green (choice C).</p><p>&nbsp;</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.617000+00:00","source_updated_at":"2023-08-02T20:25:59.617000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph block_choice\"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/11ec945d97805e9f0e541d0f6ee2bd336a006ab4b80c80f1f7566eac645e06bc\" alt=\"30 over 40\"></span></span></p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph block_choice\"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3de07d3abab88806e6b15198b4575c779ddaf7d76d7d7d3e8ebb29d3d301355c\" alt=\"22 over 40\"></span></span></p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph block_choice\"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7927fa361b64ac5628c88f6bc5a6d584936e2218988cccb14740370d6d08a70a\" alt=\"18 over 40\"></span></span></p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph block_choice\"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8f71f7884d4356b8691e2cb38a7c88d4e51dda8b0068402df359c8e4fb7e2d4a\" alt=\"10 over 40\"></span></span></p>\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}}