{"id":135,"date":"2014-04-11T15:06:50","date_gmt":"2014-04-11T15:06:50","guid":{"rendered":"http:\/\/alchy.my\/blog\/?p=135"},"modified":"2019-01-27T15:07:39","modified_gmt":"2019-01-27T15:07:39","slug":"on-dice-rolls-and-results","status":"publish","type":"post","link":"https:\/\/alchy.my\/blog\/archives\/135","title":{"rendered":"On Dice-Rolls and Results"},"content":{"rendered":"\n<p>Dungeon Fodder had a loot table which operated on a dice-roll. One issue was that the odds for \u201cLeveling Up!\u201d were too ridiculously difficult so I had to think about why. A player only levels up on a roll of 3 or 18 but what were the odds? I had a look around and this&nbsp;<a href=\"http:\/\/statistics.about.com\/od\/ProbHelpandTutorials\/a\/Probabilities-For-Rolling-Three-Dice.htm\">site<\/a>&nbsp;explained it pretty thoroughly to me;<\/p>\n\n\n\n<p>3 dice or 3d6 equates to&nbsp;6 to the power of 3 which comes up to 216 possibilities. Typically a 3d6 would yield you only 16 possibilities (3 to 18) so from there one can calculate the odds of getting a specific number. While not something astronomically new, it does highlight the fact that game designers must have a strong understanding of mathematics to handle data, probability and statistics. Therefore the odds for 3 dice would be as follows;<\/p>\n\n\n\n<p>Probability of a sum of 3: 1\/216 = 0.5%<br>Probability of a sum of 4: 3\/216 = 1.4%<br>Probability of a sum of 5: 6\/216 = 2.8%<br>Probability of a sum of 6: 10\/216 = 4.6%<br>Probability of a sum of 7: 15\/216 = 7.0%<br>Probability of a sum of 8: 21\/216 = 9.7%<br>Probability of a sum of 9: 25\/216 = 11.6%<br>Probability of a sum of 10: 27\/216 = 12.5%<br>Probability of a sum of 11: 27\/216 = 12.5%<br>Probability of a sum of 12: 25\/216 = 11.6%<br>Probability of a sum of 13: 21\/216 = 9.7%<br>Probability of a sum of 14: 15\/216 = 7.0%<br>Probability of a sum of 15: 10\/216 = 4.6%<br>Probability of a sum of 16: 6\/216 = 2.8%<br>Probability of a sum of 17: 3\/216 = 1.4%<br>Probability of a sum of 18: 1\/216 = 0.5%<\/p>\n\n\n\n<p>Also on an unrelated note, the designs for an Orientation type activity is underway and there are thoughts of using comparison tables such as the one below. It has been a long time since I\u2019ve seen one used but it is a fun and visual way to figure out the results of a dice roll. I might also try to integrate this into Dungeon Fodder if the need arises and it helps by visually explaining concepts on the game.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"342\" height=\"336\" src=\"https:\/\/alchy.my\/blog\/wp-content\/uploads\/2019\/01\/table.png\" alt=\"\" class=\"wp-image-136\" srcset=\"https:\/\/alchy.my\/blog\/wp-content\/uploads\/2019\/01\/table.png 342w, https:\/\/alchy.my\/blog\/wp-content\/uploads\/2019\/01\/table-300x295.png 300w\" sizes=\"auto, (max-width: 342px) 100vw, 342px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Dungeon Fodder had a loot table which operated on a dice-roll. One issue was that the odds for \u201cLeveling Up!\u201d were too ridiculously difficult so I had to think about [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,12,10],"tags":[],"class_list":["post-135","post","type-post","status-publish","format-standard","hentry","category-analog-game-development","category-gamedesign","category-research"],"_links":{"self":[{"href":"https:\/\/alchy.my\/blog\/wp-json\/wp\/v2\/posts\/135","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/alchy.my\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/alchy.my\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/alchy.my\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/alchy.my\/blog\/wp-json\/wp\/v2\/comments?post=135"}],"version-history":[{"count":1,"href":"https:\/\/alchy.my\/blog\/wp-json\/wp\/v2\/posts\/135\/revisions"}],"predecessor-version":[{"id":137,"href":"https:\/\/alchy.my\/blog\/wp-json\/wp\/v2\/posts\/135\/revisions\/137"}],"wp:attachment":[{"href":"https:\/\/alchy.my\/blog\/wp-json\/wp\/v2\/media?parent=135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/alchy.my\/blog\/wp-json\/wp\/v2\/categories?post=135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/alchy.my\/blog\/wp-json\/wp\/v2\/tags?post=135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}