{"id":"aqua_rat:847839e26100155b57c4af5571f72fe9","source_id":"aqua_rat","source_item_id":"847839e26100155b57c4af5571f72fe9","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"Let A and B be independent events with P (A) = 0.2 and P(B) = 0.8. Find P(A/B)?","stimulus":"","stimulus_html":null,"stem_html":"<p>Let A and B be independent events with P (A) = 0.2 and P(B) = 0.8. Find P(A/B)?</p>","rationale_html":"<p>P(A/B) = P (A n B)/P(B)</p><p>Here, P (A n B) = 0.16</p><p>P(A/B) = 0.16/0.8 = 0.2</p><p>A</p>","correct_answer":["A"],"equiv_key":"0b7e62e285b475285190afab","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>0.2</p>","ord":0},{"label":"B","content_html":"<p>0.4</p>","ord":1},{"label":"C","content_html":"<p>0.6</p>","ord":2},{"label":"D","content_html":"<p>1.2</p>","ord":3},{"label":"E","content_html":"<p>1.5</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}