Axioms of Probability

In the last article, we discussed what is meant by Experiment, Sample Space, and Events.

Our main goal is to answer the below question

So, from a sample space, there are multiple events possible and for every subset of the sample space or for every event, we want to know the chance of that event occurring.

So, we are searching for such a function say it’s denoted by ‘P’ for probability and it takes in an event(which is a subset of the sample space), we want this function to return a number such that this number reflects the probability or the chance of this event occurring.

Now, this function must satisfy the axioms of probability.

There are 3 axioms:

1. The probability of any event should always be greater than 0
2. The probability of the sample space(as it contains all the possible outcomes) should be 1, this means that we have a cap for the probability values, it should be greater than equal to 0 and it should be less than equal to 1.
3. If there are the ‘n’ disjoint events, then the probability of the union of those ‘n’ events would simply be the sum of the…