 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.