Probability Theory Examples
We can study the concept of probability with the help of the example discussed below,
Example: Let’s take two random dice and roll them randomly, now the probability of getting a total of 10 is calculated.
Solution:
Total Possible events that can occur (sample space) {(1,1), (1,2),…, (1,6),…, (6,6)}. The total spaces are 36.
Now the required events, {(4,6), (5,5), (6,4)} are all which adds up to 10.
So the probability of getting a total of 10 is = 3/36 = 1/12
Probability Theory
Probability Theory: Probability is defined as the chance of happening or occurrences of an event. Generally, the possibility of analyzing the occurrence of any event concerning previous data is called probability. For example, if a fair coin is tossed, what is the chance that it lands on the head? These types of questions are answered under probability.
Probability measures the likelihood of an event’s occurrence. In situations where the outcome of an event is uncertain, we discuss the probability of specific outcomes to understand their chances of happening. The study of events influenced by probability falls under the domain of statistics.
Table of Content
- What is Probability Theory in Maths?
- Real-Life Example of Probability – Flipping a Coin
- Probability Theory Definition
- Theoretical and Experimental Probabilities
- Theoretical Probability
- Experimental Probability
- Probability Theory Examples
- Basics of Probability Theory
- Random Experiment
- Sample Space
- Event
- Random Variable
- Discrete Random Variable
- Continuous Random Variable
- Probability Theory Formulas
- Probability Theory in Statistics
- Applications of Probability Theory
- Solved Examples on Probability Theory
In this article, we will learn about, Probability theory, its formulas, examples, applications, and others in detail.