# Statistics and Probability Definitions

## A to Z Probability mass function of sum of two regular dice. Bar graph used to portray discrete density function. Labels on the right correspond to the n/36 results format.

## Statistics and Probability: Two Sides of the Same Coin?

Everybody knows that math can be divided into many different branches. There’s algebra, geometry, trigonometry, and calculus, to name a few. But did you know that there’s a branch of math specifically devoted to the study of random events? It’s called probability, and it’s closely related to another branch called statistics. In this blog post, we’ll explore the similarities and differences between these two important areas of mathematics.

## Probability vs. Statistics: What’s the Difference?

At first glance, probability and statistics may seem like two sides of the same coin. After all, they both deal with the collection and analysis of numerical data. However, there are some important distinctions between the two fields. Probability is concerned with the likelihood of something happening, while statistics is focused on actual numerical data. Put another way, probability deals with hypothetical situations, while statistics deals with actual observations.

For example, let’s say you’re trying to determine the probability that it will rain tomorrow. To do this, you would look at past weather patterns and make a prediction based on that data. On the other hand, if you were collecting statistical data on rainfall in your area, you would simply go outside and measure how much rain fell over a given period of time. As you can see, probability is concerned with predicting future events, while statistics is concerned with describing past events.

## Statistics and Probability Definitions: Conclusion

Probability and statistics are two closely related fields of mathematics that are vital to the study of random events. Probability deals with predicting future events, while statistics deals with describing past events. Both fields are essential to the natural and social sciences.