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Probability is all about chance. Whereas statistics is more about how we handle various data using different techniques.

A statistic is the descriptor of a set of sample data. Statistics is the broader concept of the process of designing, comparing, interpreting, and analyzing data.

There are two kinds of Statistics, which are descriptive Statistics and inferential Statistics. In descriptive Statistics, the Data or Collection Data are described in a summarized way, whereas in inferential Statistics, we make use of it in order to explain the descriptive kind.

Probability is a mathematical tool used to study randomness. It deals with the chance of an event occurring. For example, if you toss a fair coin four times, the outcomes may not be two heads and two tails. However, if you toss the same coin 4,000 times, the outcomes will be close to half heads and half tails.

Statistics is the science of counting, examining, and drawing inferences from a set of repeated observations. Statistics is also the mathematical study of data in general. Probability is the frequency of occurrence or non-occurrence of an event with respect to some class of outcomes.

Why Is Statistics Important? Statistics provide the information to educate how things work. They're used to conduct research, evaluate outcomes, develop critical thinking, and make informed decisions.

Statistics is a branch of mathematics that concerns the collection, organization, displaying, analysis, interpretation and presentation of data. The relationship between those two is that in statistics, we apply probability(probability theory) to draw conclusions from data.