What are the four conditions that need to be satisfied for a binomial setting?
1 Answer
Jan 2, 2015
In a BInomial setting there are two possible outcomes per event.
The important conditions for using a binomial setting in the first place are:
- There are only two possibilities, which we will call Good or Fail
- The probability of the ratio between Good and Fail doesn't change during the tries
- In other words: the outcome of one try does not
influence the next
Example :
You roll dice (one at a time) and you want to know what the chances are that you roll at lest 1 six in 3 tries.
This is a typical example of binomial:
- There are only two possibilities:
6 (chance#=1/6# ) or not-6 (chance#=5/6# ) - The die has no memory, so:
- Every next roll has still the same probabilities.
You can set up a chance-tree, but you can also calculate the chance of three Fails, which is
And your chance of succeeding would be
