tag:blogger.com,1999:blog-5134418801703349975.post6054816800048767049..comments2023-05-12T11:17:29.120-04:00Comments on Math Arguments: 514: Probability GameCurmudgeonhttp://www.blogger.com/profile/04323026187622872114noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-5134418801703349975.post-24059855835529274422016-07-25T15:07:52.339-04:002016-07-25T15:07:52.339-04:00If the first one has an expected value of 4.96, co...If the first one has an expected value of 4.96, could you just check the probability of player B getting a 5 or 6? I get a 96% chance of rolling at least one high die, so I would expect B to win more games.Denise in ILhttps://www.blogger.com/profile/11928843626113889088noreply@blogger.comtag:blogger.com,1999:blog-5134418801703349975.post-47528719667725553502016-06-16T13:35:23.694-04:002016-06-16T13:35:23.694-04:00The first is not hard to analyze. I get an expecte...The first is not hard to analyze. I get an expected value of 4.96. The 2nd was too hard to analyze for me. (Am I missing simpler ways of organizing the possibilities?) So I simulated it in Excel. (I wanted to use Python, but couldn't remember how to get started.) In Excel, I used Int(6*rand())+1, 8 columns across, for the dice roll. Then I used Large(a1:h1,2) to get the 2nd biggest. Then I copied down 1000 rows, and averaged. Copy-paste gets new random numbers. It was always between 5.1 and 5.2. So B wins more games.Sue VanHattumhttps://www.blogger.com/profile/10237941346154683902noreply@blogger.com