SOLUTION: 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 sys

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
RELATED QUESTIONS
Hi, I am mathematically challenged when it comes to probability on top of having a hard... (answered by Theo)

The probability of a student scoring 75% in class work is 0.64, and the probability of a... (answered by robertb)

I am having issues with determining a of n when the only given are two terms from an... (answered by htmentor)

From a base elevation of 8400ft a mountain peak in Colorado rises to a summit elevation... (answered by ankor@dixie-net.com)

I am having trouble with one of my math questions. The question is < BAE measures 90... (answered by richwmiller)

I am having trouble determining how to calculate absolute value. Calculate:... (answered by jim_thompson5910,solver91311)

Good Afternoon, for my other question please help me with this question since I'm finding (answered by ikleyn)

I am having trouble determining what equation to use to solve this problem, and how to... (answered by Alan3354)

Please write a formula of the form y=..... For determining the yards (represented by the (answered by Theo)