3.06.2015

Dice for Non-Mathematicians - 301

Besties
The the previous two posts, we've talked about how adding dice together changes the weight of different kinds of rolls.  But what if we AREN'T adding the dice together? What if people roll several dice and keep only the best roll?

Let's assume you have a game where a player rolls 1d6 and scores a point if it's a 4 or higher. What are his chances? 50%: [1,2,3] don't score and [4,5,6] do. Same as flipping a coin, right? So what would happen to his chances if you let him roll 3 times and keep the highest roll? Would his odds of scoring improve?