Hello, I've recently joined this forum to get help in mathematics. I am going to be studying in an engineering field next year as an undergrad. Over the summer, I've taken up computer programming as a hobby and I'm having a hard time with some statistical programs I'm trying to make. Here is my simple problem:
How many different combinations of two numbers can add up to make 8? Each number can be no greater than 6.
This is exactly the probability of rolling an 8 when rolling two dice. I know that the answer to this question is 5, as in there are 5 different combinations of 2 numbers that will add up to equal 8. For example:
1. 2 + 6
2. 6 + 2
3. 3 + 5
4. 5 + 3
5. 4 + 4
Therefore, there is a 5/36 chance of rolling an 8 when rolling 2 dice with 6 faces each.
I want to extract some basic principle or formula out of this so that I can do the same thing with more dice and more or less faces on each die.
Thank you very much, I appreciate any responses.
(I'm not here just to leech on others. I plan contributing to the help threads where I'm qualified to actually help like calculus. )