Probability Calculator

About the Online Probability Calculator 

An online probability calculator allows you to determine the likelihood of an event based on the probabilities of other related events. This free tool is accessible from anywhere in the world without any cost.

With this online resource, you can quickly analyze the relationships between two discrete events. There is no need for manual calculations, as the tool delivers accurate results within seconds. Additionally, you can save time and effort by avoiding complex calculations, as our calculator simplifies the process and provides precise outcomes rapidly.

How to Utilize the Online Probability Calculator? 

Using our calculator is simple and user-friendly. There are no complicated procedures to follow when calculating probabilities with this online Conditional Probability Calculator.

You can utilize this tool in two ways. Whether you need to calculate the probability of a single event or multiple events, our online Experimental Probability Calculator is the ideal choice for you.

Probability Calculator for a Single Event 

Access our probability calculator tool on bizmarketingideas. 

Click the “Single” button to calculate the probability of a single event. 

Input the number of possible outcomes in the designated field of our single event probability calculator. 

After entering the possible outcomes, specify the number of events that have occurred. 

That’s it! You will receive the probability of both the occurrence and non-occurrence of the event within seconds.

Probability Calculator for Multiple Events 

If you wish to calculate the probability of multiple events, our tool is the best option available online. To find the probability of multiple events, follow these steps:

Enter the number of possible outcomes in the provided box. 

Input the number of events that occur in set A and set B in the respective fields. 

As a result, you will receive a comprehensive probability analysis.

What Is Probability? 

Probability quantifies the likelihood of an event occurring, indicating whether it will happen or not. It is recognized as a branch of mathematics focused on the analysis of random events. While the outcome of a random event cannot be predicted until it happens, probability allows us to assess the likelihood of such occurrences. It operates on logical principles, helping us determine whether an event has a high or low probability of happening. Additionally, probability can indicate whether an event is dependent or independent of previously occurred events.

How to Calculate Probability? 

To calculate probability, one must break down a problem into its individual probabilities and then multiply the likelihoods of each event occurring. The following steps outline a straightforward method for calculating probability.

First, analyze the probability of an event that has at least one possible outcome. For instance, when tossing a coin, the possible outcomes are either landing on heads or not landing on heads. 

Next, identify the total number of outcomes for the event analyzed in the previous step. In the coin toss example, there are 2 possible results: heads and tails. 

Finally, divide the number of favorable outcomes by the total number of results. Continuing with the coin toss example, the chance of getting heads is 1, while the total number of outcomes is 2. Therefore, the probability of landing on heads is calculated as 1/2, which equals 0.5.

Find The Probability of A Union B (AUB)? 

In simple terms, the union of set A and set B represents the combination of all values from both sets. This union is denoted as A∪B. To demonstrate this concept, let us examine the following example.

A = {2, 3, 5, 6, 7} 

B = {2, 3, 9} 

In this case, A∪B would be A∪B = {2, 3, 5, 6, 7, 9}. 

For convenience, one can utilize a Statistics Probability Calculator to avoid manual calculations.

Determine the Probability of A Intersection B (A∩B). 

In the intersection of sets A and B, we identify all the common elements present in both sets. The intersection is represented as (A∩B).

To illustrate the concept of intersection, consider the following example:

A = {4, 6, 3, 8, 9} 

B = {5, 6, 3} 

The elements that are found in both sets are 6 and 3. Therefore, A∩B = {6, 3}.

Next, calculate the Conditional Probability of A given B: P(A | B). 

Conditional probability is defined as the likelihood of event A occurring, given that event B has already taken place. The formula below can be utilized to compute the conditional probability of A and B.

P(A|B) = P(A∩B) / P(B).