{"id":"cb_question_bank:32964a7a-a030-44e8-a904-253d21d3d6ed","source_id":"cb_question_bank","source_item_id":"32964a7a-a030-44e8-a904-253d21d3d6ed","external_id":"fecd5e09-6a41-4316-a6b0-2f366f0c940d","ibn":null,"question_id":"60caadfd","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":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Each rock in a collection of 70 rocks was classified as either igneous, metamorphic, or sedimentary, as shown in the frequency table. Classification Frequency igneous 10 metamorphic 33 sedimentary 27 If one of these rocks is selected at random, what is the probability of selecting a rock that is igneous?","stimulus":"","stimulus_html":null,"stem_html":"

Each rock in a collection of 70\n rocks was classified as either igneous, metamorphic, or sedimentary, as shown in the frequency table.

\n
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
ClassificationFrequency
igneous10\n
metamorphic33\n
sedimentary27\n
\n

If one of these rocks is selected at random, what is the probability of selecting a rock that is igneous?

","rationale_html":"

Choice D is correct. If one of the rocks in the collection is selected at random, the probability of selecting a rock that is igneous is equal to the number of igneous rocks in the collection divided by the total number of rocks in the collection. According to the table, there are 10\n igneous rocks in the collection, and it's given that there's a total of 70\n rocks in the collection. Therefore, if one of the rocks in the collection is selected at random, the probability of selecting a rock that is igneous is 1070.

\n

Choice A is incorrect. This is the number of igneous rocks in the collection divided by the number of sedimentary rocks in the collection, not divided by the total number of rocks in the collection.

\n

Choice B is incorrect. This is the number of igneous rocks in the collection divided by the number of metamorphic rocks in the collection, not divided by the total number of rocks in the collection.

\n

Choice C is incorrect. This is the number of igneous rocks in the collection divided by the number of rocks in the collection that aren't igneous, not divided by the total number of rocks in the collection.

","correct_answer":["D"],"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":[{"label":"A","content_html":"

1027

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

1033

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

1060

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

1070

","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}}