Question 448418: I am having trouble determining an effective way of calculating probability of certain scores given a variable scoring system
Say you roll 6 standard dice that has a scoring system of the following for whichever numbers you roll:
roll a 1 - 1 point each
roll a 2 - 2 points each
roll a 3 - 3 points each IFF there are no 4s present, otherwise zero
roll a 4 - 4 points each IFF there are no 3s present, otherwise zero
ex: rolling four 3s, one 2, and one 4 will give you a total of 2. Since there were both 3s and 4s, you cannot earn points for them. Therefore you only earned points for the 2.
roll a 5 - value increases per number of 5s rolled
ex:
roll one 5 - 1 point
roll two 5s - 2 points each
roll three 5s - 3 points each, and so on...
roll a 6 - negative 2 points each
I decided to ask the question: What is the probability of rolling all 6 dice and getting a negative score?
Although a full solution would be terrific, I am simply looking for some insight as to how you can incorporate a scoring system into some sort of equation.
If anything is unclear please post a reply.
Thanks in advance!
Answer by edjones(8007)   (Show Source):
You can put this solution on YOUR website! The best way to do this is to write a program to cover the 6^6=46,656 different probabilities and track the scores. This would give an exact answer in less than a minute. It would take less than a day to write and debug if you are a pretty good amateur programmer.
.
Ed
|
|
|
