Statistical Independence

Independent events:

Two events are called independent if the occurrence of one doesn't affect the occurrence of the other. Example:

If you toss a coin several times, the outcome of each event doesn't depend on the other. Or real-life example: the probabilities that on Monday it will rain, and that eggs are out of stock in a grocery are independent.

Why is it so essential to understand if the probabilities are independent?

In this course, we will work with independent and dependent events. Each of them has its formulas for calculation probabilities; thus, if we can't recognize whether the probability is dependent or not, we will not be able to solve the task correctly.