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The Main Idea(s)
Let's look at the experiment where we roll a die.
We are going to count the number of times we get a "6". We will call this variable X.
We will name the result of getting a six - "S" and NOT getting a six will be "N".
If we were to roll the die just once then these are the possible outcomes:
We have a 5/6 probability of not getting a six and a 1/6 probability of getting a six.
This event can be summarized as follows:
Probability Distribution Graph
x
If we were to roll two dice then these are the possible outcomes.
This event can be summarized as follows:
Probability Distribution Graph
x
If we were to roll three dice then these are the possible outcomes.
This event can be summarized as follows:
Probability Distribution Graph
x
If we were to roll four dice then these are the possible outcomes.
This event can be summarized as follows:
Probability Distribution Graph
x
A pattern is beginning to emerge:
Alternative formats of the formula:
Where:
n = number of trials
x = number of successes
p = probability of one success
q = probability of one failure = 1 - p
The following activity is for visualizing the Binomial Distribution, with control over n and p.
Click here to go to Geogebra page.
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