Associated Topics || Dr. Math Home || Search Dr. Math

### Odds of Identical Numbers

```
Date: 7/1/96 at 23:3:50
From: Anonymous
Subject: Determine Odds

For example, how to figure the odds of rolling the identical number on
six dice, in one roll.

Also, is there one formula for determining all odds?

Courtney Smith
```

```
Date: 9/10/96 at 15:9:12
From: Doctor Luat
Subject: Re: Determine Odds

I am not sure what you are looking for, but here is what I have to
offer. We need two things to calculate the probability of something
that is going to happen.  The first is the number of ALL possible
outcomes of what ever we set up.  And second is the number of
occurrences that will come out as the  result of our restriction.

For example, the six dice rolled.  The number of all possible
outcomes  from rolling six dice is 6^6.  That's because there are 6
possibilities for the first die, 6 for the second, and so on.  So we
multiply, and the number of possibilities is 6*6*6*6*6*6 = 6^6.

There are six different ways the dice will be identical... all
1,2,3,4,5 or 6.  Thus the probability of rolling six identical numbers
at once is 6/(6^6) = 1/(6^5) = 1 in 46656.

-Doctor Luat,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
High School Probability

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search