Free course

# HarvardX Data Science - Probability (PH125.3x)

52 Exercises35,664 Learners4650 XP

or

## Course Description

Gain important foundational knowledge in probability theory, essential for data scientist, as you learn key concepts through a motivating case study on the financial crisis of 2007-08. Find the complete course on edx.org here.
1. 1

### Introduction to Discrete Probability

Free

In this chapter, you will learn about the fundamentals of discrete probability through looking at examples of sampling from an urn with and without replacement.

Exercise 1. Probability of cyan - generalized
100 xp
Exercise 2. Probability of not cyan - generalized
100 xp
Exercise 3. Sampling without replacement - generalized
100 xp
Exercise 4. Sampling with replacement - generalized
100 xp
End of Assessment: Introduction to Discrete Probability
50 xp
2. 2

### Independence and Multiplication Rule

Free

In this chapter, you will learn about independence, conditional probability, and the multiplication rule through examples involving draws from an urn, rolls of a die, and sports series wins.

3. 3

Free

In this chapter, you will learn about the addition rule and the Monty Hall problem.

4. 4

### Continuous Probability

Free

In this chapter, you will learn about continuous probability through the use of examples involving the distribution of heights and IQ scores.

5. 5

### Random Variables and Sampling Models

Free

In this chapter, you will learn about random variables and sampling models exploring an example looking at various aspects of the game of chance American Roulette.

6. 6

### The Central Limit Theorem

Free

In this chapter, you will learn about the Central Limit Theorem and compare results from Monte Carlo simulations to those obtained using the Central Limit Theorem for games of chance.

7. 7

### The Big Short

Free

In this chapter, you will learn about interest rates and the big short. 