- Published on

# Basics Definition From Set Theory

Here are some common definitions found in Set Operations:

- Complement: Is the set that contains all the elements that don't belong to an example set
`S`

. This can be mathematically written as`S^c = U \ A`

- Union: Is the combination of two sets such that all elements that belong to given sets
`A`

or`B`

(or both sets) are contained in the new set`A ∪ B`

- Intersection: Is the combination of two sets such that only elements that belong to given sets
`A`

and`B`

are contained in the new set`A ∩ B`

- Disjoint: Is when two given sets do not have any elements in common. Therefore, their intersection would be empty
- Partition: Is when there is a set A and smaller sets within it that are all disjoint sets. In this scenario, the collection of smaller sets within set A can be said to be a partition of set A
- Sample space: Is the set of all possible outcomes of an experiment
- Probability law: Is a law of probability that assigns a nonnegative number, P, to a set A where the P represents our knowledge or belief about the collective probability of the elements of set A.
- Event: Is a subset of the sample space also known as a potential outcome from a set of possible outcomes
- Collectively Exhaustive: Is a probability related concept where at least one of the events in a given sample space must occur(or have a 100% probability)
- Mutually Exclusive: Is a probability related concept where two events cannot occur at the same time or simultaneously. This is also known as disjoint events

### Conclusion

Well that's it for this post! Thanks for following along in this article and if you have any questions or concerns please feel free to post a comment in this post and I will get back to you when I find the time.

If you found this article helpful please share it and make sure to follow me on Twitter and GitHub, connect with me on LinkedIn and subscribe to my YouTube channel.