Data Science and Machine Learning (Theory and Projects) A to Z - Probability Model: Probability Axioms Derivations

The video tutorial explains the concept of sample space and event complement in probability. It discusses how the probability of an event and its complement add up to one. The tutorial also covers the probability of the union of two events, highlighting the need to subtract the intersection to avoid overcounting. It further explores properties derived from probability axioms, such as the relationship between subsets and their probabilities. The video concludes with a promise of worked examples in the next session.

What is the relationship between an event and its complement in probability?

Describe the concept of overcounting in the context of probability.

Explain how to calculate the probability of the union of two events A and B.

What happens to the probability of A and B if they are disjoint events?

How does the probability of a subset relate to the probability of the larger set?

In what way can you derive more properties from the axioms of probability?

What are the three axioms of probability mentioned in the text?