Counting and Probability
What are my chances?
What is Probability?
So what does counting have to do with this?
We know that counting is the action of finding the number of elements of a finite of objects. To find a probability, we need to count the number of times an event could occur and also the total number of possible events. If these numbers are large,we need efficient ways of counting to handle the data and better understand it.
How can we count the number of possible outcomes?
- The number of possible outcomes for an event E is n(E).
- If there are two or more mutually exclusive events (there are no common outcomes) then the total number of possible outcomes is the sum of the outcomes of the mutually exclusive events. For example, the possibility of rolling 1 or 6 on a dice is n(1)+n(6)
- If two or more events have common outcomes, then the total number of possible outcomes is their product. For example, if we have 4 shirts and 2 pants the number of possible outfits is 4x2=8.
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