{"id":1829,"date":"2015-03-27T16:37:46","date_gmt":"2015-03-27T20:37:46","guid":{"rendered":"http:\/\/67272bb316.nxcli.io\/dicemasters\/?p=1829"},"modified":"2016-10-13T13:42:17","modified_gmt":"2016-10-13T17:42:17","slug":"are-the-odds-in-your-favor","status":"publish","type":"post","link":"https:\/\/wizkids.com\/dicemasters\/are-the-odds-in-your-favor\/","title":{"rendered":"Are the odds in your favor?"},"content":{"rendered":"<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:left top;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:20px;--awb-padding-right:0px;--awb-padding-bottom:20px;--awb-padding-left:0px;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last fusion-column-no-min-height\" style=\"--awb-bg-size:cover;--awb-margin-bottom:0px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-none\"><img decoding=\"async\" width=\"205\" height=\"213\" title=\"MDM1-mock-Spiderman2\" src=\"https:\/\/wizkids.com\/dicemasters\/wp-content\/uploads\/sites\/3\/2015\/03\/MDM1-mock-Spiderman2.png\" alt class=\"img-responsive wp-image-1830\"\/><\/span><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:20px;margin-bottom:20px;width:100%;\"><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-1\"><p>Have you ever wondered, right when you drew the dice from your bag at the beginning of the turn, \u201cWill I be able to get a Spider-Man character from that die, or is he going to end up on energy?\u201d Let\u2019s explore this scenario, using one of the most overlooked tools in our gaming tool belt:<\/p>\n<p>Math.<\/p>\n<p>Hopefully there are more than 3 people left reading at this point. I know math has a stigma attached to it, and is avoided by a lot of people. That\u2019s a shame, because understanding math can really improve your game. Math shows its face all over the game of Dice Masters. It\u2019s in the combat, when you are dealing and receiving damage. It\u2019s there while you are purchasing new dice to add to your Used Pile. It is also there when we start drawing the dice from our bag and begin rolling them.<\/p>\n<p>In that last example, we are talking about probability, and probability can be one of the more complicated parts of math. The funny thing is, it\u2019s not the actual number crunching that makes probability difficult, it\u2019s our brains. For the most part, our brains do a great job of making good decisions, and getting us through the day. When faced with probability though, it often makes assumptions that just don\u2019t work.<\/p>\n<p>For example, let\u2019s say you are playing a game of Dice Masters, and you just did your initial roll from the Roll and Reroll step. You roll the double [fist] side on your Spiderman die, and you really wanted to get a character on it. So, of course, you pick it up to roll again. What are the odds of rolling Spiderman? This one\u2019s easy. You have 3 energy faces and 3 character faces. You want the character, so 3 character faces divided by 6 total faces is 50%.<\/p>\n<p>3\/6 = 0.5 = 50%.<\/p>\n<p>Our brains love this, and understand this. Rolling the character side on Spiderman is 50%.<\/p>\n<p>But, let me ask you, before you rolled any dice this turn, you had 2 rolls, a roll and a reroll. Before you rolled any dice, what were the odds that you would end up with a Spiderman character after both rolls?<\/p>\n<p>At this point, our brains want to kick in, and say 50% again. Unfortunately now, our brains have made some poor choices. The actual answer is 75%. Before you roll any dice, you have a 75% chance to get a character face on Spiderman. (And, of course, the odds are the same on any regular non-Sidekick character, not just Spiderman.)<\/p>\n<p>Let\u2019s find out why it\u2019s 75%. To do this, we are going to have to get a little math-y. Don\u2019t worry, the numbers are easy, don\u2019t run from them.<\/p>\n<p>To try to make things easier to understand, let\u2019s refer to our initial roll as \u201cRoll A\u201d, and then our reroll as \u201cRoll B\u201d. Now, let\u2019s build a table to show all the potential outcomes for our turn, while we roll Spiderman.<\/p>\n<p>I \u2013 Roll A: Energy, Roll B: Energy<\/p>\n<p>II \u2013 Roll A: Energy, Roll B: Character<\/p>\n<p>III \u2013 Roll A: Character, Roll B: Energy<\/p>\n<p>IV \u2013 Roll A: Character, Roll B: Character<\/p>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:20px;margin-bottom:20px;width:100%;\"><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-2 hover-type-none\"><img decoding=\"async\" width=\"300\" height=\"227\" title=\"MDM2-mock1\" src=\"https:\/\/wizkids.com\/dicemasters\/wp-content\/uploads\/sites\/3\/2015\/03\/MDM2-mock1-300x227.png\" alt class=\"img-responsive wp-image-1831\" srcset=\"https:\/\/wizkids.com\/dicemasters\/wp-content\/uploads\/sites\/3\/2015\/03\/MDM2-mock1-300x227.png 300w, https:\/\/wizkids.com\/dicemasters\/wp-content\/uploads\/sites\/3\/2015\/03\/MDM2-mock1.png 645w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:20px;margin-bottom:20px;width:100%;\"><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-2\"><p>There are the 4 possible outcomes of our rolling. Now, hopefully, you are screaming something at me through your computer. \u201cCurt! In III and IV, why are you rolling your character faces again! That\u2019s crazy. Curt, you\u2019re crazy!\u201d<\/p>\n<p>Wow, I can actually hear you. Weird.<\/p>\n<p>And, of course, you are right. I would be crazy to roll those, because I WANT the character face on Spiderman. The reason that is in the table is because I want everyone to see that there are 4 possible things that can happen, if we just did everything totally randomly. There is one thing stopping us from rolling those character dice. Back to the rescue is our brain. Our brain tells us not to roll those, so let\u2019s look at the amended table with our brain\u2019s help.<\/p>\n<p>I \u2013 Roll A: Energy, Roll B: Energy<\/p>\n<p>II \u2013 Roll A: Energy, Roll B: Character<\/p>\n<p>III \u2013 Roll A: Character, Roll B: Don\u2019t Roll!<\/p>\n<p>IV \u2013 Roll A: Character, Roll B: Don\u2019t Roll!<\/p>\n<p>Perfect.<\/p>\n<p>Now, each of those lines has the same probability of happening, because we are using our Spider-Man die. If we had a Sidekick die instead, the math would be a lot different. Do you know why?<\/p>\n<p>If you said \u201cBecause Sidekicks have 5 energy faces, not 3, and only 1 character face, not 3\u201d, then you would be right.<\/p>\n<p>But, lucky for us, our Spider-Man die has 3 energy faces, and 3 character faces, so now the math is super simple. If you have 4 events, and each is equally likely, what is the probability of each event? Simply put, it\u2019s \u00bc, but if you hate fractions, we can call it 25%. So, now our math problem is really just counting which lines from the table we want, and multiplying by 25%.<\/p>\n<p>So, if we want a character, line I is out. We ended up with energy. Line II is in, because we got a character. Similarly, lines III and IV are both in because we got a character on our first roll, with no need to reroll. With 3 lines being advantageous and each line representing 25%, that means the total odds of getting a Spiderman character are:<\/p>\n<p>3 x 25% = 75%<\/p>\n<p>So, when you draw that Spiderman die from your bag, and you stare at it, you are staring at a world of possibilities. With your 2 rolls, you have a 75% chance to get a character face.<\/p>\n<p>Good luck with your turn, and next time, we\u2019ll go a little deeper. What were the odds you were even going to draw Spiderman from your bag in the first place?<\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Have you ever wondered, right when you drew the dice from your bag at the beginning of the turn, \u201cWill I be able to get a Spider-Man character from that die, or is he going to end up on energy?\u201d Let\u2019s explore this scenario, using one of the most overlooked tools in our gaming tool belt:<\/p>\n","protected":false},"author":1,"featured_media":1840,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22,10],"tags":[],"class_list":["post-1829","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gameplay-strategy","category-marvel-dice-masters"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/wizkids.com\/dicemasters\/wp-json\/wp\/v2\/posts\/1829","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wizkids.com\/dicemasters\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wizkids.com\/dicemasters\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wizkids.com\/dicemasters\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wizkids.com\/dicemasters\/wp-json\/wp\/v2\/comments?post=1829"}],"version-history":[{"count":0,"href":"https:\/\/wizkids.com\/dicemasters\/wp-json\/wp\/v2\/posts\/1829\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wizkids.com\/dicemasters\/wp-json\/wp\/v2\/media\/1840"}],"wp:attachment":[{"href":"https:\/\/wizkids.com\/dicemasters\/wp-json\/wp\/v2\/media?parent=1829"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wizkids.com\/dicemasters\/wp-json\/wp\/v2\/categories?post=1829"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wizkids.com\/dicemasters\/wp-json\/wp\/v2\/tags?post=1829"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}