{"id":"aqua_rat:24a2533e649b41d661581ec6b0d30a64","source_id":"aqua_rat","source_item_id":"24a2533e649b41d661581ec6b0d30a64","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":"There is a 90% chance that a registered voter in Burghtown voted in the last election. If five registered voters are chosen at random, what is the approximate likelihood that exactly four of them voted in the last election?","stimulus":"","stimulus_html":null,"stem_html":"

There is a 90% chance that a registered voter in Burghtown voted in the last election. If five registered voters are chosen at random, what is the approximate likelihood that exactly four of them voted in the last election?

","rationale_html":"

The probability that four of five voted is :

P(1st one voted) X ... X P(4th one voted) X (5th one NOT voted)

= 0.9 x 0.9 x 0.9 x 0.9 x 0.1

= 0.81 x 0.81 x 0.1 = 0.6561

E

","correct_answer":["E"],"equiv_key":"fb60b438855a77264434f226","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"

26.2%

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

32.8%

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

43.7%

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

59.0%

","ord":3},{"label":"E","content_html":"

65.6%

","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":[]}