{"id":"cb_question_bank:fefedf83-2871-4ede-9c2d-531f6135dfa9","source_id":"cb_question_bank","source_item_id":"fefedf83-2871-4ede-9c2d-531f6135dfa9","external_id":"1c586d1c-5c87-4b4c-adf1-b5791827526c","ibn":null,"question_id":"e9ed719f","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":"The table summarizes the distribution of color and shape for 100 tiles of equal area. Red Blue Yellow Total Square 10 20 25 55 Pentagon 20 10 15 45 Total 30 30 40 100 If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.)","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The table summarizes the distribution of color and shape for <math alttext=\"100\"><mn>100</mn>\n</math> tiles of equal area.</p>\n<figure class=\"table\"><table border=\"1\">\n<thead>\n<tr style=\"height: 22px;\">\n<th style=\"width: 17.3129%; height: 22px;\" scope=\"row\">&nbsp;</th>\n<th style=\"width: 17.3129%; height: 22px; vertical-align: bottom; text-align: center;\" scope=\"col\">Red</th>\n<th style=\"width: 17.3129%; height: 22px; vertical-align: bottom; text-align: center;\" scope=\"col\">Blue</th>\n<th style=\"width: 17.3129%; height: 22px; vertical-align: bottom; text-align: center;\" scope=\"col\">Yellow</th>\n<th style=\"width: 17.3129%; height: 22px; vertical-align: bottom; text-align: center;\" scope=\"col\">Total</th>\n</tr>\n</thead>\n<tbody>\n<tr style=\"height: 22px;\">\n<th style=\"width: 17.3129%; height: 22px; text-align: left;\" scope=\"row\">Square</th>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"10\"><mn>10</mn>\n</math></td>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"20\"><mn>20</mn>\n</math></td>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"25\"><mn>25</mn>\n</math></td>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"55\"><mn>55</mn>\n</math></td>\n</tr>\n<tr style=\"height: 22px;\">\n<th style=\"width: 17.3129%; height: 22px; text-align: left;\" scope=\"row\">Pentagon</th>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"20\"><mn>20</mn>\n</math></td>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"10\"><mn>10</mn>\n</math></td>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"15\"><mn>15</mn>\n</math></td>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"45\"><mn>45</mn>\n</math></td>\n</tr>\n<tr style=\"height: 22px;\">\n<th style=\"width: 17.3129%; height: 22px; text-align: center;\" scope=\"row\">Total</th>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"30\"><mn>30</mn>\n</math></td>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"30\"><mn>30</mn>\n</math></td>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"40\"><mn>40</mn>\n</math></td>\n<td style=\"width: 17.3129%; height: 22px; text-align: center;\"><math alttext=\"100\"><mn>100</mn>\n</math></td>\n</tr>\n</tbody>\n</table></figure>\n<p style=\"text-align: left;\">If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.)</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is&nbsp;<math alttext=\"three tenths\"><mfrac><mn>3</mn><mn>10</mn></mfrac></math>. It’s given that there are a total of <math alttext=\"100\"><mn>100</mn>\n</math> tiles of equal area, which is the total number of possible outcomes. According to the table, there are a total of <math alttext=\"30\"><mn>30</mn>\n</math> red tiles. The probability of an event occurring is the ratio of the number of favorable outcomes to the total number of possible outcomes. By definition, the probability of selecting a red tile is given by <math alttext=\"StartFraction 30 Over 100 EndFraction\"><mfrac><mn>30</mn><mn>100</mn></mfrac></math>, or <math alttext=\"three tenths\"><mfrac><mn>3</mn><mn>10</mn></mfrac></math>. Note that 3/10 and .3 are examples of ways to enter a correct answer.</p>","correct_answer":[".3","3/10"],"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":[],"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}}