{"id":"act_quizme:math:q2:05","source_id":"act_quizme","source_item_id":"math-q2-05","external_id":"77ea507e3ea67cef","program":"ACT","section":"math","category_code":null,"category":null,"subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":5,"scored":true,"layout_warning":null,"stem":"The whole numbers 1 through 30 were each written on separate pieces of paper. Those 30 pieces of paper were put into a jar. One piece of paper will be randomly drawn from this jar. What is the probability that this piece of paper will have a prime number written on it?","stimulus":"","stimulus_html":null,"stem_html":"<div class=\"math-question-wrap\"><div class=\"item-content\" id=\"p50\"> \t\t\t\t\t \t\t\t\t\t<p>The whole numbers 1 through 30 were each written on separate pieces of paper. Those 30 pieces of paper were put into a jar. One piece of paper will be randomly drawn from this jar. What is the probability that this piece of paper will have a prime number written on it?</p>  \t\t\t\t</div> \t\t\t\t</div>\n<div><div class=\"math-answer-select-wrap\"></div></div>","rationale_html":"<p><strong>A.</strong> <strong>Incorrect. </strong>Remember that the probability of choosing a paper with a prime number on it is the total possible number of papers with prime numbers divided by the total number of papers in the jar. You may have divided the number of papers being chosen, 1, by the total number of papers in the jar, 30.</p><p><strong>B.</strong> <strong>Incorrect. </strong>Remember that the probability of choosing a paper with a prime number on it is the total possible number of papers with prime numbers divided by the total number of papers in the jar. You may have divided the number of papers being chosen, 1, by the total number of papers in the jar <strong>without</strong> prime numbers on them, 20.</p><p><strong>C.</strong> <strong>Incorrect. </strong>Remember that the probability of choosing a paper with a prime number on it is the total possible number of papers with prime numbers divided by the total number of papers in the jar. You may have divided the number of papers being chosen, 1, by the total number of papers in the jar with prime numbers on them, 10.</p><p><strong>D.</strong> <strong>Correct.</strong> There are 10 prime numbers between 1 and 30: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. The probability of choosing a paper with a prime number on it is the total possible number of papers with prime numbers divided by the total number of papers in the jar, <span style=\"white-space: nowrap;\"><span class=\"visually-hidden\">10 over 30</span><math><mfrac><mn>10</mn><mn>30</mn></mfrac></math>.</span></p>","correct_answer":["D"],"equiv_key":"19a5d99d96f7066abaa0356a","has_media":false,"has_mathml":true,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p><span>1 over 30</span>130</p>","ord":0},{"label":"B","content_html":"<p><span>1 over 20</span>120</p>","ord":1},{"label":"C","content_html":"<p><span>1 over 10</span>110</p>","ord":2},{"label":"D","content_html":"<p><span>10 over 30</span>1030</p>","ord":3}],"passage":null,"attribution":{"source_id":"act_quizme","source_name":"ACT QuizMe official practice questions","rights_holder":"ACT Education Corp.","canonical_url":"https://quizme.act.org/","retrieved_from":"https://quizme.act.org/","attribution":"Official ACT practice questions © ACT Education Corp., from the QuizMe practice quizzes at quizme.act.org.","disclaimer":"ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, does not sponsor, and does not endorse this project.","license":"ACT Education Corp. copyright. Published free on the public web; not licensed for redistribution.","redistributable":false,"item_count":78},"equivalents":[{"id":"act_practice_pdf:pt1:math:012","source_id":"act_practice_pdf","source_item_id":"pt1-math-012","external_id":null,"program":"ACT","section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":"S","subcategory":"Statistics & Probability","form_id":"act_practice_pdf:pt1","passage_id":null,"position":12,"scored":true,"layout_warning":"Stacked notation (fractions, radicals, matrices) does not survive text extraction. The image above is the question as printed; the text below it is approximate.","stem":"The whole numbers 1 through 30 were each written on separate pieces of paper. Those 30 pieces of paper were put into a jar. One piece of paper will be randomly drawn from this jar. What is the probability that this piece of paper will have a prime number written on it? _ 1","stimulus":"","stimulus_html":"<figure><img src=\"/api/assets/6a4fb8b039da11cf6115a49461e9cd069715f8fe4cf0709b1be3b4df9a5e76a3\" alt=\"Question 12 as printed in the Preparing for the ACT — Practice Test 1 booklet\"><figcaption>As printed in the official booklet.</figcaption></figure>","stem_html":"<p>The whole numbers 1 through 30 were each written on separate pieces of paper. Those 30 pieces of paper were put into a jar. One piece of paper will be randomly drawn from this jar. What is the probability that this piece of paper will have a prime number written on it? _ 1</p>","rationale_html":null,"correct_answer":["J"],"equiv_key":"19a5d99d96f7066abaa0356a","has_media":true,"has_mathml":false,"has_table":false,"section_label":"Mathematics","attribution":{"source_id":"act_practice_pdf","source_name":"Official ACT full-length practice tests (PDF)","rights_holder":"ACT Education Corp.","canonical_url":"https://www.act.org/content/act/en/products-and-services/the-act/test-preparation.html","retrieved_from":"https://www.act.org/content/act/en/products-and-services/the-act/test-preparation.html","attribution":"Full-length ACT practice tests © ACT Education Corp., published free at act.org. Questions are retired items from previous ACT administrations.","disclaimer":"Extracted from a print-layout PDF: equations, figures and charts do not survive as text. Use the original PDF for anything that renders poorly. ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, does not sponsor, and does not endorse this project.","license":"ACT Education Corp. copyright. Published free for personal test preparation; not licensed for redistribution.","redistributable":false,"item_count":342}}]}