Course Content

# Probability Theory Basics

4. Commonly Used Continuous Distributions

5. Covariance and Correlation

Probability Theory Basics

## Challenge: Solving the Task Using Inclusion-Exclusion Principle

# Task

Let's imagine one situation that may be real for you. You have a tasty basket with:

`5`

cookies with a cherry jam,`5`

chocolate cookies,`10`

chocolate candies,`5`

chocolate bars,`15`

biscuits,`10`

bottles of lemonade.

Calculate the probability that you will randomly pull out an *item that includes chocolate, or a cookie*.

We can divide our food into influential groups:

- The first one: cookies (ones with cherry jam and chocolate ones).
- The second one: is chocolate items (chocolate bars, candies, and
*chocolate cookies*).

Follow the algorithm:

- Calculate the probability of pulling out a
**cookie**. - Calculate the probability of pulling out item
*that includes chocolate*(chocolate sweet). - Calculate the probability of pulling out a
*chocolate cookie*. - Calculate the resulting probability.

Everything was clear?

Section 2. Chapter 2