All Questions
4
questions
9
votes
3
answers
9k
views
How can I (algorithmically) count the number of ways n m-sided dice can add up to a given number?
I am trying to identify the general case algorithm for counting the different ways dice can add to a given number. For instance, there are six ways to roll a seven with two 6-dice.
I've spent quite ...
- 557
4
votes
1
answer
2k
views
Expected value when die is rolled $N$ times
Suppose we have a die with $K$ faces with numbers from 1 to $K$ written on it, and integers $L$ and $F$ ($0 < L \leq K$). We roll it $N$ times. Let $a_i$ be the number of times (out of the $N$ ...
- 235
1
vote
1
answer
65
views
Expected cost of algorithm based on hypergeometrical distribution
I am having an algorithm which cost I want to determine, but I am having trouble to do so. In order to do so, I tried to break it down to a well known scenario, to be able to communicate the issue:
...
- 1,131
0
votes
1
answer
46
views
Positive bit count of the $S(n):=\sum_{i=1}^{n} 2^{(i-1)}$ always $n$?
From a discussion on a stack about the programing, I got the following mathematical Conjectures:
Conjectures:
Let n,m be positive integer, $S(n)$ and $CountPosbit(m)$ be as follows.
$S(n):=\sum_{i=1}...
- 665