{"id":40802295272,"date":"2026-06-21T09:13:00","date_gmt":"2026-06-21T13:13:00","guid":{"rendered":"https:\/\/www.monmouth.edu\/news\/?p=40802295272"},"modified":"2026-06-16T15:14:10","modified_gmt":"2026-06-16T19:14:10","slug":"scott-publishes-research-on-teaching-probability-through-lottery-tickets","status":"publish","type":"post","link":"https:\/\/www.monmouth.edu\/news\/scott-publishes-research-on-teaching-probability-through-lottery-tickets\/","title":{"rendered":"Scott Publishes Research on Teaching Probability Through Lottery Tickets"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Robert H. Scott III, Ph.D., Arthur and Dorothy Greenbaum\/Robert Ferguson\/NJAR Endowed Chair in Real Estate Policy and professor of Economics, Finance, and Real Estate, recently published research in The Journal of Gambling Business and Economics (Vol. 19, No. 21, 2026).<\/p>\n\n\n\n<figure class=\"wp-block-image alignright size-large is-resized\"><a href=\"https:\/\/www.ubplj.org\/index.php\/jgbe\/article\/view\/2741\" target=\"_blank\" rel=\" noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"693\" height=\"1024\" src=\"https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/06\/cover_issue_221_en_US-693x1024.jpg\" alt=\"Cover of the academic journal of Gambling and Economics, with link to article written by professor Scott. The cover is dark and has a pair of dice in action.\" class=\"wp-image-40802295353\" style=\"aspect-ratio:0.6767726161369193;width:328px;height:auto\" srcset=\"https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/06\/cover_issue_221_en_US-693x1024.jpg 693w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/06\/cover_issue_221_en_US-203x300.jpg 203w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/06\/cover_issue_221_en_US-768x1135.jpg 768w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/06\/cover_issue_221_en_US-1039x1536.jpg 1039w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/06\/cover_issue_221_en_US-1386x2048.jpg 1386w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/06\/cover_issue_221_en_US-1320x1951.jpg 1320w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/06\/cover_issue_221_en_US.jpg 2253w\" sizes=\"auto, (max-width: 693px) 100vw, 693px\" \/><\/a><figcaption class=\"wp-element-caption\"><br><br><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The article, \u201c<a href=\"https:\/\/www.ubplj.org\/index.php\/jgbe\/article\/view\/2741\">Using Scratch-Off Lottery Tickets to Teach Binomial Probabilities&nbsp;and&nbsp;Expected Value<\/a>,\u201d establishes teaching strategies involving state scratch-offs that help students comprehend how theoretical probability distributions relate to empirical outcomes. Through his research, Scott suggests student engagement and understanding in these areas can be improved by using relatable interactive classroom exercises.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The exercise detailed in the paper involves every student receiving a lottery ticket, then calculating binomial probabilities and using this information to estimate expected value, average payout, standard deviation, and the number of winners. The students would then compare the empirical results with their observations after all the tickets were scratched.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The aim of the <a href=\"https:\/\/www.ubplj.org\/index.php\/jgbe\/index\">Journal of Gambling Business and Economics<\/a> is to be relevant to a wide range of parties, from academics to policymakers to those involved in the business and commercial side of betting and gaming.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Robert H. Scott III, Ph.D., Arthur and Dorothy Greenbaum\/Robert Ferguson\/NJAR Endowed Chair in Real Estate Policy and professor of Economics, Finance, and Real Estate, recently published research in The Journal of Gambling Business and Economics (Vol. 19, No. 21, 2026). The article, \u201cUsing Scratch-Off Lottery Tickets to Teach Binomial Probabilities&nbsp;and&nbsp;Expected Value,\u201d establishes teaching strategies involving [&hellip;]<\/p>\n","protected":false},"author":22,"featured_media":40802267489,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[912,444,423,170],"tags":[7364,432],"person":[547],"audience":[11,8],"school":[2750,56],"program":[],"class_list":["post-40802295272","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cec-news","category-monmouth-now","category-faculty-perspectives","category-research","tag-journal-of-gambling-business-and-economics","tag-newsletter","person-rscott","audience-current-student","audience-faculty","school-business-administration","school-economics"],"squareimage":{"id":40802292860,"rendered":"<img width=\"683\" height=\"683\" style=\"object-position: 57.5175% 44.435%\" src=\"https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/02\/Rob-Scott-square.jpg\" class=\"attachment-full size-full\" alt=\"Prof. Robert Scott standing on porch of Great Hall, wearing suit and tie\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/02\/Rob-Scott-square.jpg 683w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/02\/Rob-Scott-square-300x300.jpg 300w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/02\/Rob-Scott-square-150x150.jpg 150w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/02\/Rob-Scott-square-560x560.jpg 560w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/02\/Rob-Scott-square-280x280.jpg 280w, https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/02\/Rob-Scott-square-120x120.jpg 120w\" sizes=\"auto, (max-width: 683px) 100vw, 683px\" \/>","original":{"url":"https:\/\/www.monmouth.edu\/news\/wp-content\/uploads\/sites\/16\/2026\/02\/Rob-Scott-square.jpg","width":683,"height":683}},"_links":{"self":[{"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/posts\/40802295272","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/comments?post=40802295272"}],"version-history":[{"count":6,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/posts\/40802295272\/revisions"}],"predecessor-version":[{"id":40802295370,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/posts\/40802295272\/revisions\/40802295370"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/media\/40802267489"}],"wp:attachment":[{"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/media?parent=40802295272"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/categories?post=40802295272"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/tags?post=40802295272"},{"taxonomy":"person","embeddable":true,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/person?post=40802295272"},{"taxonomy":"audience","embeddable":true,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/audience?post=40802295272"},{"taxonomy":"school","embeddable":true,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/school?post=40802295272"},{"taxonomy":"program","embeddable":true,"href":"https:\/\/www.monmouth.edu\/news\/wp-json\/wp\/v2\/program?post=40802295272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}