While on vacation, I picked up the new version of Risk called Risk Reinvented (or maybe Risk Reinvention, it doesn’t actually say anything on the box except that it offers 3 ways to play), which has an optional set of rules to make the gameplay different. If you accomplish a certain objective (like controlling all of Asia at the end of your turn), you may earn the ability to attack or defend with a bonus die. So in the typical instance of 3 attacking dice vs. 2 defending dice, where the defenders win ties (this slightly favors the attackers), you might attack with 4 dice or defend with 3 dice even though only two troops are still at risk.
So I wanted to know what the odds are when you add dice to the mix. It was pretty obvious that the odds got a lot better when I earned the extra defense die. Then I got the extra attacking die and I was wondering how much of an effect it would have. I couldn’t find this on the internet (this was before I made the Risk Odds Calculator program).
So I built a spreadsheet that would generate every dice combination for six dice (3 attackers vs. 3 defending dice). This meant I had to have 6x6x6x6x6x6 or 46,656 rows. I had to check what the maximum number of rows that Excel can deal with and fortunately it was 65,536.
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