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 mainly a ratio between the given event and the total number of events.
What are the chances of the following events when we pick a random number from 1 to 10 ?
The number is divisible by 1
100% are divisible by 1. We say probability is 1
The number is divisible by 11
0% are divisible by 11. We say probability is 0
The number is divisible by 2
50% are divisible by 2. We say probability is 1/2
The number is divisible by 5
20% are divisible by 5. We say probability is 1/5
Probability for School Students & Beginners
Probability for Aptitude Preparation
Probability Practice Questions
Probability for Programmers
Advanced Topics on Probability
Probability in Maths – FAQs
What do you mean by Probability?
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.
What are the three types of Probability?
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 the Probability of an Impossible Event?
The probability of an impossible event is zero.
What is the 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 the 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.
