{"id":"cb_question_bank:1eb20a8c-7806-4bd7-8d92-aa013d25e954","source_id":"cb_question_bank","source_item_id":"1eb20a8c-7806-4bd7-8d92-aa013d25e954","external_id":null,"ibn":"019746-DC","question_id":"d4413871","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.E.","skill":"Probability and conditional probability","difficulty":"H","score_band":6,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Human blood can be classified into four common blood types—A, B, AB, and O. It is also characterized by the presence open parenthesis, plus, close parenthesis or absence open parenthesis, minus, close parenthesis of the rhesus factor. The table above shows the distribution of blood type and rhesus factor for a group of people. If one of these people who is rhesus negative open parenthesis, minus, close parenthesis is chosen at random, the probability that the person has blood type B is one ninth . What is the value of x ?","stimulus":"Blood type Rhesus factor A B AB O plus 33 9 3 37 minus 7 2 1 x","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"passage \">\n          <div class=\"prose style:1 \">\n            <p class=\"passage_para \"></p>\n            <div class=\"table_wrapper \">\n              <div class=\"tcp-e4589060-6a49-4fb9-a72a-23a578e0b2a9\">\n                <table class=\"table_WithBorder tcp-06196331-3edc-4c8f-876b-d57b3d755f43\"><tbody><tr><td class=\"tcp-06743663-cf51-4d3a-bb0f-8b9210f1b926\"></td>\n                      <td class=\"tcp-9fb58c64-27a2-4be8-8131-1424067761ce\" colspan=\"4\" rowspan=\"1\">Blood type&nbsp; &nbsp;</td>\n                    </tr><tr><td class=\"tcp-02abeec4-f408-454a-87df-05c7c6994beb\">Rhesus factor</td>\n                      <td class=\"tcp-f8b24cc8-81fe-48a7-a682-337ede35519b\">A</td>\n                      <td class=\"tcp-4bf04f05-b26e-49c9-9e89-3fccdbe67aa5\">B</td>\n                      <td class=\"tcp-028d81ca-d098-4c84-9e84-3620dbeae02c\">AB</td>\n                      <td class=\"tcp-02b79468-351b-40a0-b9a7-9b2bb86fe635\">O</td>\n                    </tr><tr><td class=\"tcp-1aac0023-14d4-4475-935e-069fdbf84bcd\">\n                        <span class=\"math_expression \">\n                          <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e1aabc76f23c307415a688cc7ce9b4716e2f9367aeb9a3c2962afc3286863b91\" alt=\"plus\"></span></span>\n                      </td>\n                      <td class=\"tcp-05f1a050-4c0d-4e64-b64e-c58780bafe88\">33</td>\n                      <td class=\"tcp-1d324382-0266-4e24-b80c-3fbd65ce08f7\">9</td>\n                      <td class=\"tcp-a7adcf0c-ce15-4409-a2e0-667ee9a895e3\">3</td>\n                      <td class=\"tcp-37dd5d78-47ee-41d7-8c67-420e63f5e677\">37</td>\n                    </tr><tr><td class=\"tcp-5a3393db-bbc3-4009-b4fc-634ae86ebf04\">\n                        <span class=\"math_expression \">\n                          <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/458012387a274ca81b74659b1768b78f9a0d2a142473e5649ffcbc20490cf184\" alt=\"minus\"></span></span>\n                      </td>\n                      <td class=\"tcp-bd3f95aa-f701-461c-a4d3-ab4c2b64b2ac\">7</td>\n                      <td class=\"tcp-3ac2333f-1894-4587-9a4e-16bf77125399\">2</td>\n                      <td class=\"tcp-54b95007-a3cd-44d2-a670-cbf65d2b6c54\">1</td>\n                      <td class=\"tcp-c50c8657-2486-4a4d-bcfa-e1718c1aee53\">\n                        <span class=\"italic\">\n                          <span class=\"italic \">x</span>\n                        </span>\n                      </td>\n                    </tr></tbody></table></div>\n            </div>\n          </div>\n        </div>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">Human blood can be classified into four common blood types—A, B, AB, and O. It is also characterized by the presence <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7d668e3b42d09f41ef697cff2607eefc419002b5d12eed46f5ec5e297c00c747\" alt=\"open parenthesis, plus, close parenthesis\"></span> or absence <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/52fd7d71c374efb4cdd3ea9d6c0bcda1c1a1456fe11604df18dbcb8821e4e9e3\" alt=\"open parenthesis, minus, close parenthesis\"></span> of the rhesus factor. The table above shows the distribution of blood type and rhesus factor for a group of people. If one of these people who is rhesus negative <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/52fd7d71c374efb4cdd3ea9d6c0bcda1c1a1456fe11604df18dbcb8821e4e9e3\" alt=\"open parenthesis, minus, close parenthesis\"></span> is chosen at random, the probability that the person has blood type B is <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c662d31b5b0efdffd81c907e6f9ae2b762a76577371eb87103c97bafce07721d\" alt=\"one ninth\"></span></span> . What is the value of <span class=\"italic\">x</span> ?</p>\n","rationale_html":"<p>The correct answer is 8. In this group, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c662d31b5b0efdffd81c907e6f9ae2b762a76577371eb87103c97bafce07721d\" alt=\"one ninth\"></span> of the people who are rhesus negative have blood type B. The total number of people who are rhesus negative in the group is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3e3637be051538a5e8a5ca6c89a5f78f4ff469e222935873d3ce5e080e8a59b7\" alt=\"7 plus 2, plus 1, plus x\"></span>, and there are 2 people who are rhesus negative with blood type B. Therefore, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fade396052a4ef30de75d0e7af0d630d52415a7ee3fc56cd19161eff6fe55849\" alt=\"the fraction with numerator 2, and denominator, 7 plus 2, plus 1, plus x, end fraction, equals one ninth\"></span>. Combining like terms on the left-hand side of the equation yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c04e1edb2884c4faac29a688e6ea4c8ee65cac5c671a25ce6aadfee141815106\" alt=\"the fraction with numerator 2, and denominator, 10 plus x, end fraction, equals one ninth\"></span>. Multiplying both sides of this equation by 9 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1a8ce840916ddc3e412ddcb8aa58b7c77d41cc879f2f47cea7b5bdfdabcbb358\" alt=\"the fraction with numerator 18, and denominator, 10 plus x, end fraction, equals 1\"></span>, and multiplying both sides of this equation by <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/36d1501c2bbfba9ba9d050632630ffbbd25666e926625fac5eeb093f9e0d23f9\" alt=\"open parenthesis, 10 plus x, close parenthesis \"></span> yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c34cf7b747704bf5fd18046364c1510b3539e3987442c38afca3f89dc324bcf3\" alt=\"18 equals, 10 plus x\"></span>. Subtracting 10 from both sides of this equation yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ec2bfe35b11007ec0eb878f1ee3dddca7d8e8bc763d96e4a6c73c5ee2c2c5580\" alt=\"8 equals x\"></span>.</p>\n","correct_answer":["8"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.616000+00:00","source_updated_at":"2023-08-02T20:25:59.616000+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}}