I am hoping someone here can help me sort out a little math dilemma that I am having with my game ending event...

I have been toying with the idea of a 6d being rolled at the end of each round of play. If it is 1-5, nothing happens. It is only important if it is a 6. After the third 6 is rolled, that begins the end of the game - actually it signals that each player will lead one more round.

What I would like to know are the mathematical probabilities of when the 3rd six is going to show. For example, what is the percentage that it will be on the third roll, the fourth roll, the fifth roll, etc. Does anyone know a formula for this? Additionally, I would like to be able to obtain the same information for the 4th 6 being rolled.

Thanks!

~Brad

BlueRift - First let me say thank you, that was AWESOME! Thank you, thank you, thank you!

BlueRiftwrote:Second, I want to see if I understand this idea...instead of just looking for a 6 at the end of each round (and disregarding any other result 1-5), I could simply add the values of the roles together, until I hit a pre-determined value, such as 18 or 20, which would then trigger the game ending sequence?

How does this result in a bell curve? I like to be able to analyze and see the math, I just can't do it, lol!

Thanks again for your rapid response!

~Brad