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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.

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.

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

We begin by introducing two general types of statistics: Descriptive statistics: statistics that summarize observations. Inferential statistics: statistics used to interpret the meaning of descriptive statistics.

They are: (i) Mean, (ii) Median, and (iii) Mode. Statistics is the study of Data Collection, Analysis, Interpretation, Presentation, and organizing in a specific way.

Descriptive statistics are used to summarize data in an organized manner by describing the relationship between variables in a sample or population. Calculating descriptive statistics represents a vital first step when conducting research and should always occur before making inferential statistical comparisons.

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.

Probability deals with predicting the likelihood of future events, while statistics involves the analysis of the frequency of past events.