Course Content

Probability Theory

It is time to gain insight into theoretical terms! Let's start.

The first crucial term is **exhaustive events**.

**What is it?**

This term describes when at least one event must happen.

**Example:**

The simplest and the most evident example is tossing a coin. The probability of receiving head or tail is **50%**, but together they result in **100%**(all outcomes). In other words, the events are exclusive.

Moving on, let us look at another term i.e. **law of total probability**.

To understand better, it is better to solve one task.

**Example:**

Imagine that we have three boxes. The first one contains **7 red balls**, the second one contains **5 green balls** and the third one contains **4 green balls** and **3 red balls**. Calculate the probability that we will randomly pull out **red ball**.

So, the result is **0.47619048**, to find it we should multiply the probability to pick a specific box by the probability to pull out the box from this column.

Section 2.

Chapter 6