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Probability Calculator





Event A
Event B

Table of Content


The online probability calculator is an efficient tool to identify the probable events and their occurrences.

What Is Probability?

A probability is the chance of occurrence of an event or likelihood of a particular event.

The number 1 is described as the chance of occurrence and 0 is the impossibility. It is possible to calculate probability between 0 and 1 and their values lie between two extremes. The probability also helps us understand how to find the expected value between 0 and 1 and can find it by the expected number calculator.

Probability Formula:

The probability formula is given as:

$$ \text{P(A)}\;=\frac{\text{n(E)}}{\text{n(S)}} $$


  • P(A) = Probability of the event
  • n(E) = Represent the favorable outcome
  • n(S) = Total number of event

It is quite simple to calculate the probability of an event to find out its favorable outcome. You can find probability 2 events by knowing the value of dividing the favorable outcome and a number of events. 

What Is the Probability Range?

The probability range of an event is between 0 and 1. The probability of the occurrence of the probability is between 0 and 1. 

0 ≤ P(A) ≤ 1

Rule of Addition:

P(A∪B) = P(A) + P(B) – P(A∩B)

When calculating the probability of the two events occurring, in the first step add both events then subtract the probability of both events. The addition rule of probability calculator 3 events is a simple way to solve the various functions of probability.

Rule of Complementary Events:

P(A’) + P(A) = 1

The compliments rules describe the sum of the probability of an event and its compliments are always equal to 1. The chance of occurrence should be selected by the chance calculator to make the probability equal to 1.

Disjoint Events:

P(A∩B) = 0

Now calculating the probability of disjoint probability of both occurring at the event when there are no elements equal to each other.

Independent Events: 

P(A∩B) = P(A) ⋅ P(B)

The independent events are the events when one event occurs and does not change the probability of the other event. You may use the multiplication rule of probability statistics calculator for finding the probability of various events.

Conditional Probability:

P(A | B) = P(A∩B) / P(B)

The conditional probability is the likelihood of an event or the outcomes based on the previous event outcome with the theoretical probability calculator.

Bayes Formula:

P(A | B) = P(B | A) ⋅ P(A) / P(B)

The Bayes Theorem states the events and the random variables separately. 

How to Use the Probability Calculator?

The conditional probability calculator is a simple statistical tool and follows the steps to find probability.


  • Enter the probability of the P(A) and P(B)
  • Choose the event happening
  • Hit the Calculate Button


  • Probability of the event  P(A) and P(B)


What Are the Three Types of Probability?

The three types of probability are:

  • Classical Probability
  • Relative Frequency Definition  
  • Subjective probability

You can calculate the probability of all three types of probability by using our conditional probability calculator.


From the source Wikipedia: Probability, Interpretations
From the source Calculate Probability, Find Probability

Alan Walker

Studies mathematics sciences, and Technology. Tech geek and a content writer. Wikipedia addict who wants to know everything. Loves traveling, nature, reading. Math and Technology have done their part, and now it's the time for us to get benefits.

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Victorina Moreno González
I think your explanation is very good, thank you very much, understood.