{"id":"aqua_rat:84a16cfabc7f01872b9a8834322df670","source_id":"aqua_rat","source_item_id":"84a16cfabc7f01872b9a8834322df670","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":"In a railway station, there are two trains going. One in the harbor line and one in the main line, each having a frequency of 10 minutes. The main line service starts at 5 o'clock and the harbor line starts at 5.02 A.M. A man goes to the station every day to catch the first train that comes. What is the probability of the man catching the first train?","stimulus":"","stimulus_html":null,"stem_html":"<p>In a railway station, there are two trains going. One in the harbor line and one in the main line, each having a frequency of 10 minutes. The main line service starts at 5 o&#x27;clock and the harbor line starts at 5.02 A.M. A man goes to the station every day to catch the first train that comes. What is the probability of the man catching the first train?</p>","rationale_html":"<p>For each 10 min interval, if man comes in first 2 min, he&#x27;ll catch the 1st train, if he comes in next 8 min, he&#x27;ll catch the 2nd train.</p><p>Hence, for harbor line = (2/10) = 0.2 and for main line 0.8.</p><p>B</p>","correct_answer":["B"],"equiv_key":"53301ceac1889be1e233debd","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>0.9</p>","ord":0},{"label":"B","content_html":"<p>0.8</p>","ord":1},{"label":"C","content_html":"<p>0.6</p>","ord":2},{"label":"D","content_html":"<p>0.65</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":[]}