{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":52110,"title":"Pick the die most likely to win","description":"After discussing Rock, Paper, Scissors, Lizard, Spock in The Simpsons and their Mathematical Secrets, Simon Singh writes that investor Warren Buffett will challenge people to beat him in a game of dice. He presents three dice and asks the other person to choose one. Then he chooses one, and they roll together. The person with the highest roll wins. \r\nWith standard dice that have one to six pips on their sides, no one has an advantage. However, Mr. Buffett’s dice are different: Although the sum of the numbers on the faces of one die equals the sums for the other dice, the numbers on one die differ from the numbers on the other dice.\r\nFor example, suppose die A has 1, 1, 6, 6, 8, and 8; die B has 3, 3, 5, 5, 7, and 7; and die C has 2, 2, 4, 4, 9, and 9. If the first person chooses die A, then Warren Buffett will choose die C to increase his chances of winning. Write a function that choose the die most likely to win, given the other person’s choice. The input is a matrix with the numbers on the faces of each die in the rows and an index of the die (i.e., row) that the other person chose.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 228px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 114px; transform-origin: 407px 114px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 51.3417px 7.79167px; transform-origin: 51.3417px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAfter discussing \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/46072-rock-paper-scissors-lizard-spock\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eRock, Paper, Scissors, Lizard, Spock\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.33333px 7.79167px; transform-origin: 9.33333px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 143.142px 7.79167px; transform-origin: 143.142px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eThe Simpsons and their Mathematical Secrets\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.45px 7.79167px; transform-origin: 65.45px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, Simon Singh writes that investor Warren Buffett will challenge people to beat him in a game of dice. He presents three dice and asks the other person to choose one. Then he chooses one, and they roll together. The person with the highest roll wins. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 362.242px 7.79167px; transform-origin: 362.242px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWith standard dice that have one to six pips on their sides, no one has an advantage. However, Mr. Buffett’s dice are different: Although the sum of the numbers on the faces of one die equals the sums for the other dice, the numbers on one die differ from the numbers on the other dice.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.833px 7.79167px; transform-origin: 376.833px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, suppose die A has 1, 1, 6, 6, 8, and 8; die B has 3, 3, 5, 5, 7, and 7; and die C has 2, 2, 4, 4, 9, and 9. If the first person chooses die A, then Warren Buffett will choose die C to increase his chances of winning. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.0417px 7.79167px; transform-origin: 64.0417px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that choose the die most likely to win, given the other person’s choice. The input is a matrix with the numbers on the faces of each die in the rows and an index of the die (i.e., row) that the other person chose.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function d = chooseDie(D,k)\r\n  d = f(D,k);\r\nend","test_suite":"%%\r\nD = [1 1 6 6 8 8; 3 3 5 5 7 7; 2 2 4 4 9 9];\r\nk = 1;\r\nd_correct = 3;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 1 6 6 8 8; 3 3 5 5 7 7; 2 2 4 4 9 9];\r\nk = 2;\r\nd_correct = 1;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 1 6 6 8 8; 3 3 5 5 7 7; 2 2 4 4 9 9];\r\nk = 3;\r\nd_correct = 2;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 3 4 4 8 8; 1 1 5 5 9 9; 2 2 6 6 7 7];\r\nk = 1;\r\nd_correct = 2;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 3 4 4 8 8; 1 1 5 5 9 9; 2 2 6 6 7 7];\r\nk = 2;\r\nd_correct = 3;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 3 4 4 8 8; 1 1 5 5 9 9; 2 2 6 6 7 7];\r\nk = 3;\r\nd_correct = 1;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 1;\r\nd_correct = 3;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 2;\r\nd_correct = 4;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 3;\r\nd_correct = 2;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 4;\r\nd_correct = 6;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 5;\r\nd_correct = 1;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 6;\r\nd_correct = 5;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 1;\r\nd_correct = 2;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 2;\r\nd_correct = 3;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 3;\r\nd_correct = 1;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 4;\r\nd_correct = 5;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 5;\r\nd_correct = 6;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 6;\r\nd_correct = 4;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":12,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-06-26T14:03:03.000Z","updated_at":"2025-08-26T11:48:35.000Z","published_at":"2021-06-26T14:09:39.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAfter discussing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/46072-rock-paper-scissors-lizard-spock\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eRock, Paper, Scissors, Lizard, Spock\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eThe Simpsons and their Mathematical Secrets\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, Simon Singh writes that investor Warren Buffett will challenge people to beat him in a game of dice. He presents three dice and asks the other person to choose one. Then he chooses one, and they roll together. The person with the highest roll wins. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWith standard dice that have one to six pips on their sides, no one has an advantage. However, Mr. Buffett’s dice are different: Although the sum of the numbers on the faces of one die equals the sums for the other dice, the numbers on one die differ from the numbers on the other dice.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, suppose die A has 1, 1, 6, 6, 8, and 8; die B has 3, 3, 5, 5, 7, and 7; and die C has 2, 2, 4, 4, 9, and 9. If the first person chooses die A, then Warren Buffett will choose die C to increase his chances of winning. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that choose the die most likely to win, given the other person’s choice. The input is a matrix with the numbers on the faces of each die in the rows and an index of the die (i.e., row) that the other person chose.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":52110,"title":"Pick the die most likely to win","description":"After discussing Rock, Paper, Scissors, Lizard, Spock in The Simpsons and their Mathematical Secrets, Simon Singh writes that investor Warren Buffett will challenge people to beat him in a game of dice. He presents three dice and asks the other person to choose one. Then he chooses one, and they roll together. The person with the highest roll wins. \r\nWith standard dice that have one to six pips on their sides, no one has an advantage. However, Mr. Buffett’s dice are different: Although the sum of the numbers on the faces of one die equals the sums for the other dice, the numbers on one die differ from the numbers on the other dice.\r\nFor example, suppose die A has 1, 1, 6, 6, 8, and 8; die B has 3, 3, 5, 5, 7, and 7; and die C has 2, 2, 4, 4, 9, and 9. If the first person chooses die A, then Warren Buffett will choose die C to increase his chances of winning. Write a function that choose the die most likely to win, given the other person’s choice. The input is a matrix with the numbers on the faces of each die in the rows and an index of the die (i.e., row) that the other person chose.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 228px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 114px; transform-origin: 407px 114px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 51.3417px 7.79167px; transform-origin: 51.3417px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAfter discussing \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/46072-rock-paper-scissors-lizard-spock\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eRock, Paper, Scissors, Lizard, Spock\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.33333px 7.79167px; transform-origin: 9.33333px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 143.142px 7.79167px; transform-origin: 143.142px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eThe Simpsons and their Mathematical Secrets\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.45px 7.79167px; transform-origin: 65.45px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, Simon Singh writes that investor Warren Buffett will challenge people to beat him in a game of dice. He presents three dice and asks the other person to choose one. Then he chooses one, and they roll together. The person with the highest roll wins. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 362.242px 7.79167px; transform-origin: 362.242px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWith standard dice that have one to six pips on their sides, no one has an advantage. However, Mr. Buffett’s dice are different: Although the sum of the numbers on the faces of one die equals the sums for the other dice, the numbers on one die differ from the numbers on the other dice.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.833px 7.79167px; transform-origin: 376.833px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, suppose die A has 1, 1, 6, 6, 8, and 8; die B has 3, 3, 5, 5, 7, and 7; and die C has 2, 2, 4, 4, 9, and 9. If the first person chooses die A, then Warren Buffett will choose die C to increase his chances of winning. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.0417px 7.79167px; transform-origin: 64.0417px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that choose the die most likely to win, given the other person’s choice. The input is a matrix with the numbers on the faces of each die in the rows and an index of the die (i.e., row) that the other person chose.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function d = chooseDie(D,k)\r\n  d = f(D,k);\r\nend","test_suite":"%%\r\nD = [1 1 6 6 8 8; 3 3 5 5 7 7; 2 2 4 4 9 9];\r\nk = 1;\r\nd_correct = 3;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 1 6 6 8 8; 3 3 5 5 7 7; 2 2 4 4 9 9];\r\nk = 2;\r\nd_correct = 1;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 1 6 6 8 8; 3 3 5 5 7 7; 2 2 4 4 9 9];\r\nk = 3;\r\nd_correct = 2;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 3 4 4 8 8; 1 1 5 5 9 9; 2 2 6 6 7 7];\r\nk = 1;\r\nd_correct = 2;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 3 4 4 8 8; 1 1 5 5 9 9; 2 2 6 6 7 7];\r\nk = 2;\r\nd_correct = 3;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 3 4 4 8 8; 1 1 5 5 9 9; 2 2 6 6 7 7];\r\nk = 3;\r\nd_correct = 1;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 1;\r\nd_correct = 3;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 2;\r\nd_correct = 4;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 3;\r\nd_correct = 2;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 4;\r\nd_correct = 6;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 5;\r\nd_correct = 1;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [1 6 19 24 26 35; 3 7 21 23 25 32; 2 9 20 22 27 31; 8 10 15 17 28 33; 5 12 14 16 30 34; 4 11 13 18 29 36];\r\nk = 6;\r\nd_correct = 5;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 1;\r\nd_correct = 2;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 2;\r\nd_correct = 3;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 3;\r\nd_correct = 1;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 4;\r\nd_correct = 5;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 5;\r\nd_correct = 6;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n\r\n%%\r\nD = [3 4 8 30 31 35; 1 5 9 28 32 36; 2 6 7 29 33 34; 12 13 17 21 22 26; 10 14 18 19 23 27; 11 15 16 20 24 25];\r\nk = 6;\r\nd_correct = 4;\r\nassert(isequal(chooseDie(D,k),d_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":12,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-06-26T14:03:03.000Z","updated_at":"2025-08-26T11:48:35.000Z","published_at":"2021-06-26T14:09:39.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAfter discussing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/46072-rock-paper-scissors-lizard-spock\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eRock, Paper, Scissors, Lizard, Spock\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eThe Simpsons and their Mathematical Secrets\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, Simon Singh writes that investor Warren Buffett will challenge people to beat him in a game of dice. He presents three dice and asks the other person to choose one. Then he chooses one, and they roll together. The person with the highest roll wins. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWith standard dice that have one to six pips on their sides, no one has an advantage. However, Mr. Buffett’s dice are different: Although the sum of the numbers on the faces of one die equals the sums for the other dice, the numbers on one die differ from the numbers on the other dice.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, suppose die A has 1, 1, 6, 6, 8, and 8; die B has 3, 3, 5, 5, 7, and 7; and die C has 2, 2, 4, 4, 9, and 9. If the first person chooses die A, then Warren Buffett will choose die C to increase his chances of winning. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that choose the die most likely to win, given the other person’s choice. The input is a matrix with the numbers on the faces of each die in the rows and an index of the die (i.e., row) that the other person chose.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"term":"tag:\"nontransitive\"","current_player_id":null,"fields":[{"name":"page","type":"integer","callback":null,"default":1,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"per_page","type":"integer","callback":null,"default":50,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"sort","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"body","type":"text","callback":null,"default":"*:*","directive":null,"facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":false},{"name":"group","type":"string","callback":null,"default":null,"directive":"group","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"difficulty_rating_bin","type":"string","callback":null,"default":null,"directive":"difficulty_rating_bin","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"id","type":"integer","callback":null,"default":null,"directive":"id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"tag","type":"string","callback":null,"default":null,"directive":"tag","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"product","type":"string","callback":null,"default":null,"directive":"product","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_at","type":"timeframe","callback":{},"default":null,"directive":"created_at","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"profile_id","type":"integer","callback":null,"default":null,"directive":"author_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_by","type":"string","callback":null,"default":null,"directive":"author","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player_id","type":"integer","callback":null,"default":null,"directive":"solver_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player","type":"string","callback":null,"default":null,"directive":"solver","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"solvers_count","type":"integer","callback":null,"default":null,"directive":"solvers_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"comments_count","type":"integer","callback":null,"default":null,"directive":"comments_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"likes_count","type":"integer","callback":null,"default":null,"directive":"likes_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leader_id","type":"integer","callback":null,"default":null,"directive":"leader_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leading_solution","type":"integer","callback":null,"default":null,"directive":"leading_solution","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true}],"filters":[{"name":"asset_type","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":"\"cody:problem\"","prepend":true},{"name":"profile_id","type":"integer","callback":{},"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":"author_id","static":null,"prepend":true}],"query":{"params":{"per_page":50,"term":"tag:\"nontransitive\"","current_player":null,"sort":"map(difficulty_value,0,0,999) 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