{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","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":"2026-05-26T00:00:00.000Z","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":370,"title":"Gambler?","description":"Given a handle to a wealth function, confirm within 100 milliseconds 'Millionaire', 'Likely', or 'Gambler', if wealth() returns $1,000,000 or more at probabilities of 100%, above 50%, or below 50%, respectively.","description_html":"\u003cp\u003eGiven a handle to a wealth function, confirm within 100 milliseconds 'Millionaire', 'Likely', or 'Gambler', if wealth() returns $1,000,000 or more at probabilities of 100%, above 50%, or below 50%, respectively.\u003c/p\u003e","function_template":"function status = reporter(wealth)\r\n  status = 'Gambler';\r\nend","test_suite":"%%\r\ntic\r\nfor k=1:3\r\nwealth=@()1000000;\r\nstatus_correct = 'Millionaire';\r\nassert(isequal(reporter(wealth),status_correct))\r\nwealth=@()999000*(1+rand/100);\r\nstatus_correct = 'Likely';\r\nassert(isequal(reporter(wealth),status_correct))\r\nwealth=@()750000*(1+rand);\r\nstatus_correct = 'Likely';\r\nassert(isequal(reporter(wealth),status_correct))\r\nwealth=@()600000*(1+rand);\r\nstatus_correct = 'Gambler';\r\nassert(isequal(reporter(wealth),status_correct))\r\nend\r\nassert(toc\u003c2)","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":"2012-02-21T03:30:43.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-02-20T22:23:41.000Z","updated_at":"2026-05-25T22:01:19.000Z","published_at":"2012-02-21T03:40:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a handle to a wealth function, confirm within 100 milliseconds 'Millionaire', 'Likely', or 'Gambler', if wealth() returns $1,000,000 or more at probabilities of 100%, above 50%, or below 50%, respectively.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":237,"title":"Half?","description":"If you toss an even number (x) of coins, what is the probability (y) of 50% head and 50% tail?","description_html":"\u003cp\u003eIf you toss an even number (x) of coins, what is the probability (y) of 50% head and 50% tail?\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 2;\r\ny_correct = 2/4;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 4;\r\ny_correct = 6/16;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 6;\r\ny_correct = 20/64;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 8;\r\ny_correct = 70/256;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":246,"test_suite_updated_at":"2012-02-02T16:33:37.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-02-02T16:33:37.000Z","updated_at":"2026-04-27T22:38:46.000Z","published_at":"2012-02-02T16:33:37.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf you toss an even number (x) of coins, what is the probability (y) of 50% head and 50% tail?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1147,"title":"Possible Outcomes of American Roulette","description":"The payout for American roulette can be calculated by:\r\n\r\npayout = (38/n)-1\r\n\r\nwhere n is the number of squares the bet covers.\r\n\r\nGiven n and the amount bet, determine the possible outcome of one play.\r\n\r\nExample:\r\n\r\nx = [n amount_bet] = [4 25]\r\n\r\ny = [amount_win amount_loss] = [212.5 -25]","description_html":"\u003cp\u003eThe payout for American roulette can be calculated by:\u003c/p\u003e\u003cp\u003epayout = (38/n)-1\u003c/p\u003e\u003cp\u003ewhere n is the number of squares the bet covers.\u003c/p\u003e\u003cp\u003eGiven n and the amount bet, determine the possible outcome of one play.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cp\u003ex = [n amount_bet] = [4 25]\u003c/p\u003e\u003cp\u003ey = [amount_win amount_loss] = [212.5 -25]\u003c/p\u003e","function_template":"function y = all_on_red(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [1 100];\r\ny_correct = [3700 -100];\r\nassert(isequal(all_on_red(x),y_correct))\r\n\r\n%%\r\nx = [2 15];\r\ny_correct = [270 -15];\r\nassert(isequal(all_on_red(x),y_correct))\r\n\r\n%%\r\nx = [4 5];\r\ny_correct = [42.5 -5];\r\nassert(isequal(all_on_red(x),y_correct))\r\n\r\n%%\r\nx = [4 -5];\r\ny_correct = 'N/A';\r\nassert(isequal(all_on_red(x),y_correct))\r\n\r\n%%\r\nx = [18 20];\r\ny_correct = [200/9 -20];\r\nassert(isequal(all_on_red(x),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":9554,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":121,"test_suite_updated_at":"2012-12-28T16:24:59.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-12-28T16:14:17.000Z","updated_at":"2026-04-17T13:28:38.000Z","published_at":"2012-12-28T16:14:17.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe payout for American roulette can be calculated by:\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\u003epayout = (38/n)-1\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\u003ewhere n is the number of squares the bet covers.\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\u003eGiven n and the amount bet, determine the possible outcome of one play.\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\u003eExample:\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\u003ex = [n amount_bet] = [4 25]\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\u003ey = [amount_win amount_loss] = [212.5 -25]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":277,"title":"chance in percent for minimum K heads when a good coin is tossed N times?","description":"For example, chance is 100% for minimum 0 heads when a coin is tossed 7 times.\r\nChance is 50% for minimum 2 heads when a coin is tossed 3 times.\r\nChance is 0% for minimum 12 heads when a coin is tossed 11 times.\r\n ","description_html":"\u003cp\u003eFor example, chance is 100% for minimum 0 heads when a coin is tossed 7 times.\r\nChance is 50% for minimum 2 heads when a coin is tossed 3 times.\r\nChance is 0% for minimum 12 heads when a coin is tossed 11 times.\u003c/p\u003e","function_template":"function hope = tossed(coins,heads)\r\nhope=100*heads/coins;\r\nend","test_suite":"%%\r\ncoins = 7;\r\nheads = 0;\r\ncorrect_hope=100;\r\nassert(isequal(round(tossed(coins,heads)),correct_hope))\r\n%%\r\ncoins = 3;\r\nheads = 2;\r\ncorrect_hope=50;\r\nassert(isequal(round(tossed(coins,heads)),correct_hope))\r\n%%\r\ncoins = 11;\r\nheads = 12;\r\ncorrect_hope=0;\r\nassert(isequal(tossed(coins,heads),correct_hope))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":55,"test_suite_updated_at":"2012-02-07T11:24:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-02-07T05:53:07.000Z","updated_at":"2026-05-25T22:03:16.000Z","published_at":"2012-02-07T11:24:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, chance is 100% for minimum 0 heads when a coin is tossed 7 times. Chance is 50% for minimum 2 heads when a coin is tossed 3 times. Chance is 0% for minimum 12 heads when a coin is tossed 11 times.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"problems":[{"id":370,"title":"Gambler?","description":"Given a handle to a wealth function, confirm within 100 milliseconds 'Millionaire', 'Likely', or 'Gambler', if wealth() returns $1,000,000 or more at probabilities of 100%, above 50%, or below 50%, respectively.","description_html":"\u003cp\u003eGiven a handle to a wealth function, confirm within 100 milliseconds 'Millionaire', 'Likely', or 'Gambler', if wealth() returns $1,000,000 or more at probabilities of 100%, above 50%, or below 50%, respectively.\u003c/p\u003e","function_template":"function status = reporter(wealth)\r\n  status = 'Gambler';\r\nend","test_suite":"%%\r\ntic\r\nfor k=1:3\r\nwealth=@()1000000;\r\nstatus_correct = 'Millionaire';\r\nassert(isequal(reporter(wealth),status_correct))\r\nwealth=@()999000*(1+rand/100);\r\nstatus_correct = 'Likely';\r\nassert(isequal(reporter(wealth),status_correct))\r\nwealth=@()750000*(1+rand);\r\nstatus_correct = 'Likely';\r\nassert(isequal(reporter(wealth),status_correct))\r\nwealth=@()600000*(1+rand);\r\nstatus_correct = 'Gambler';\r\nassert(isequal(reporter(wealth),status_correct))\r\nend\r\nassert(toc\u003c2)","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":"2012-02-21T03:30:43.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-02-20T22:23:41.000Z","updated_at":"2026-05-25T22:01:19.000Z","published_at":"2012-02-21T03:40:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a handle to a wealth function, confirm within 100 milliseconds 'Millionaire', 'Likely', or 'Gambler', if wealth() returns $1,000,000 or more at probabilities of 100%, above 50%, or below 50%, respectively.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":237,"title":"Half?","description":"If you toss an even number (x) of coins, what is the probability (y) of 50% head and 50% tail?","description_html":"\u003cp\u003eIf you toss an even number (x) of coins, what is the probability (y) of 50% head and 50% tail?\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 2;\r\ny_correct = 2/4;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 4;\r\ny_correct = 6/16;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 6;\r\ny_correct = 20/64;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 8;\r\ny_correct = 70/256;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":246,"test_suite_updated_at":"2012-02-02T16:33:37.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-02-02T16:33:37.000Z","updated_at":"2026-04-27T22:38:46.000Z","published_at":"2012-02-02T16:33:37.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf you toss an even number (x) of coins, what is the probability (y) of 50% head and 50% tail?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1147,"title":"Possible Outcomes of American Roulette","description":"The payout for American roulette can be calculated by:\r\n\r\npayout = (38/n)-1\r\n\r\nwhere n is the number of squares the bet covers.\r\n\r\nGiven n and the amount bet, determine the possible outcome of one play.\r\n\r\nExample:\r\n\r\nx = [n amount_bet] = [4 25]\r\n\r\ny = [amount_win amount_loss] = [212.5 -25]","description_html":"\u003cp\u003eThe payout for American roulette can be calculated by:\u003c/p\u003e\u003cp\u003epayout = (38/n)-1\u003c/p\u003e\u003cp\u003ewhere n is the number of squares the bet covers.\u003c/p\u003e\u003cp\u003eGiven n and the amount bet, determine the possible outcome of one play.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cp\u003ex = [n amount_bet] = [4 25]\u003c/p\u003e\u003cp\u003ey = [amount_win amount_loss] = [212.5 -25]\u003c/p\u003e","function_template":"function y = all_on_red(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [1 100];\r\ny_correct = [3700 -100];\r\nassert(isequal(all_on_red(x),y_correct))\r\n\r\n%%\r\nx = [2 15];\r\ny_correct = [270 -15];\r\nassert(isequal(all_on_red(x),y_correct))\r\n\r\n%%\r\nx = [4 5];\r\ny_correct = [42.5 -5];\r\nassert(isequal(all_on_red(x),y_correct))\r\n\r\n%%\r\nx = [4 -5];\r\ny_correct = 'N/A';\r\nassert(isequal(all_on_red(x),y_correct))\r\n\r\n%%\r\nx = [18 20];\r\ny_correct = [200/9 -20];\r\nassert(isequal(all_on_red(x),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":9554,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":121,"test_suite_updated_at":"2012-12-28T16:24:59.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-12-28T16:14:17.000Z","updated_at":"2026-04-17T13:28:38.000Z","published_at":"2012-12-28T16:14:17.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe payout for American roulette can be calculated by:\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\u003epayout = (38/n)-1\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\u003ewhere n is the number of squares the bet covers.\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\u003eGiven n and the amount bet, determine the possible outcome of one play.\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\u003eExample:\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\u003ex = [n amount_bet] = [4 25]\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\u003ey = [amount_win amount_loss] = [212.5 -25]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":277,"title":"chance in percent for minimum K heads when a good coin is tossed N times?","description":"For example, chance is 100% for minimum 0 heads when a coin is tossed 7 times.\r\nChance is 50% for minimum 2 heads when a coin is tossed 3 times.\r\nChance is 0% for minimum 12 heads when a coin is tossed 11 times.\r\n ","description_html":"\u003cp\u003eFor example, chance is 100% for minimum 0 heads when a coin is tossed 7 times.\r\nChance is 50% for minimum 2 heads when a coin is tossed 3 times.\r\nChance is 0% for minimum 12 heads when a coin is tossed 11 times.\u003c/p\u003e","function_template":"function hope = tossed(coins,heads)\r\nhope=100*heads/coins;\r\nend","test_suite":"%%\r\ncoins = 7;\r\nheads = 0;\r\ncorrect_hope=100;\r\nassert(isequal(round(tossed(coins,heads)),correct_hope))\r\n%%\r\ncoins = 3;\r\nheads = 2;\r\ncorrect_hope=50;\r\nassert(isequal(round(tossed(coins,heads)),correct_hope))\r\n%%\r\ncoins = 11;\r\nheads = 12;\r\ncorrect_hope=0;\r\nassert(isequal(tossed(coins,heads),correct_hope))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":55,"test_suite_updated_at":"2012-02-07T11:24:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-02-07T05:53:07.000Z","updated_at":"2026-05-25T22:03:16.000Z","published_at":"2012-02-07T11:24:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, chance is 100% for minimum 0 heads when a coin is tossed 7 times. Chance is 50% for minimum 2 heads when a coin is tossed 3 times. Chance is 0% for minimum 12 heads when a coin is tossed 11 times.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"errors":[],"facets":[[{"value":"Combinatorics I","count":1,"selected":false}],[{"value":"medium","count":3,"selected":false},{"value":"easy","count":1,"selected":false}]],"term":"tag:\"gamble\"","page":1,"per_page":50,"sort":"map(difficulty_value,0,0,999) asc"}}