# Probability Calculator

Probability calculator is a web-based tool that helps you to find the probability of an event. Just input your values to check the probability.

Single Probability Calculator
Number of possible outcomes
Number of events occured

Multiple Event Probability Calculator
Number of possible outcomes
Number of events occur in A
Number of events occur in B

## What is Probability?

In simple words, the probability is defined as how likely something could happen and what are the chances a proposition is true or false. It is the part of a branch of mathematics called statistics. Probability is widely used when the occurrence of an event is uncertain.

The three major types of probabilities are:

1. Theoretical Probability

2. Experimental Probability

3. Axiomatic Probability

## How to Calculate Probability?

The calculation of probability involves the segregation of a problem into individual probabilities and multiplying the chances of occurrence with one another. The problems falling under the probability format can be calculated easily by following the steps mentioned below.

### Step 1

First of all, you have to determine the probability of the event that at least has one possible outcome. For instance, you can determine the possible outcomes of getting heads on a coin is that you either get heads, or you don’t get heads.

### Step 2

The next step is the identification of the total number of outcomes for the event determined in the previous step. In the event of flipping a coin, the total number of outcomes is 2, which are heads and tails.

### Step 3

The last step is to divide the possibility of an event’s occurrence with the total number of outcomes. Continuing with the same example, the possible number of times we can get heads after flipping a coin is 1, and the total number of outcomes is 2. Hence, the probability of getting heads would be calculated as 1/2, i.e., 0.5.

## How to Calculate Probability of a Single Event Using Probability Calculator?

The usage of our conditional probability calculator for the calculation of a single event’s probability doesn’t involve any intricacies. You can make use of this online probability calculator by following the easy steps mentioned below.

• Click on the "Single" button for the calculation of single event probability.

• Enter the number of possible outcomes.

• Enter the number of events that occurred.

• Click the "Calculate" button.The results will be displayed in a matter of seconds.

## Complement of A and B

While solving probability problems, different sets of objects are utilized. In these problems, you have a universal set that contains individual sets, normally referred to as A and B. The complement of a set A can be defined as all the objects in the universal set except the ones in the set A. The complement of set A is denoted as A’.

For instance, a universal set consists of {1,2,3,4,5,6,7,8,9,10,11}. Set A contains {2,3,5,7,11} and set B contains {2,4,6,8,10}. Let’s find the complement of A and B.

You can find the complement of the set by writing all the values of the universal set except for the ones in set A. that will give us A’ = {1,4,6,8,9,10}.

Similarly, the complement of B can be determined by writing the values other than the ones in set B. Hence, B’ = {1,3,5,7,9,11}.

## How to Find Probability of Multiple Events Using Probability Calculator?

Duplichecker.com has made it easier for the people to find the probability of multiple events as its calculation is a bit different from the ordinary or single event’s probability. After accessing the statistics probability calculator on our site, follow the steps mentioned below:

• Click on the Multiple button to access the probability calculator multiple events.

• Enter the number of possible outcomes

• Enter the number of events that occurred in A and B.

• Hit the Calculate button. The results will be displayed on your screen in a blink of any.

## The Intersection of A and B

The intersection of A and B can be defined as all of the elements that exist in both sets A and B. The intersection of A and B, in statistics problems, is written as A∩B.

For instance, if set A contains {a,b,c,d,e,f,g} and set B contains {b,f,h}, what will be A∩B?

The terms that exist in both sets are b and f. Hence, A∩B = {b,f}

## Union of A and B

The union of A and B is the combination of two sets that contains all the elements that exist in either of the sets. The union of A and B can be written as A∪B. An example for the union of A and B could be:

A = {1,2,3,4,5,6}

B = {2,4,9,10}

The A∪B for this example would be A∪B = {1,2,3,4,5,6,9,10}

## Conditional Probability Formula of A and B

The conditional probability is the calculation of the event’s A probability, given that event B has occurred. The probability of an event formula to define the conditional probability of A and B is:

P(A|B) = P(A∩B) P(B).