Probability in Maths
What is Probability in Maths?
Probability is a branch of mathematics that is a measure of how probable an incident is to occur. For example, when a coin is tossed in the air, there are two possible outcomes head or tail.
How many Types of Probability are there?
There are three types of probability:
- Theoretical Probability
- Experimental Probability
- Axiomatic Probability
What is the Probability Formula?
P(E) = Number of Favorable Outcomes /Total Number of Outcomes
What is Conditional Probability?
Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred. This concept is fundamental in probability theory and statistics, and it’s denoted as P(A|B), which is read as “the probability of A given B.”
How do I Calculate Probability?
To Calculate the probability of an event, find the ratio of the number of favorable outcomes to the total outcomes in that sample space. It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Number of Elements in Sample space).
What is Probability of Impossible Event?
The probability of an impossible event is zero.
What is Probability Density Function?
A Probability Density Function (PDF) represents the likelihood of a continuous random variable falling within a particular range of values. It is a statistical concept used in probability theory and statistics.
What is Probability Mass Function ?
A Probability Mass Function (PMF) represents the probability distribution of a discrete random variable, which can take on a finite or countably infinite number of possible values.
Probability in Maths
Probability is a field of mathematics that deals with events and quantifies their likelihood of occurring with numerical values ranging from 0 to 1. Higher probabilities indicate a greater chance of the event happening. It is expressed as a number between 0 and 1.
In this article, we will discuss what is probability in maths, its definition, formula, types, theorems, and solved examples on probability.
Table of Content
- What is Probability in Maths?
- Probability Definition
- Probability Theory
- Terms in Probability
- Probability of an Event
- Types of Events in Probability
- Probability Formula
- Probability Tree Diagram
- Types of Probability
- Theoretical Probability
- Experimental Probability
- Axiomatic Probability
- Probability Theorems
- Bayes’ Theorem on Conditional Probability
- Bayes Theorem Formula
- Probability Density Function
- Common Probability Problems
- Probability Examples and Solutions