**Single Probability Calculator**

**Result**

Probability of event that occurs P(A)

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Probability of event that does not occurs P(A')

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**Multiple Events Probability Calculator**

**Formulas:**

Probability of P(A)=n(A) / n(S)

Probability of P(A')=1 - P(A)

Probability of P(B)=n(B) / n(S)

Probability of P(B')=1 - P(B)

Probability of P(A ∩ B)=P(A) x P(B)

Probability of P(A ∪ B)=P(A) + P(B) - P(A ∩ B)

Probability of P(A | B)=P(A ∩ B) / P(B)

**Result**

Probability of event that occurs P(A)

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Probability of event that does not occurs P(A')

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Probability of event B occuring P(B)

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Probability of event B not occuring P(B')

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Probability of both events occuring P(A ∩ B)

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Probability of either events occuring P(A ∪ B)

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Conditional Probability P(A | B)

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Probability Calculator will make it easy for you to know how much chance is there for a specific event to happen. You don’t need to involve in complex calculations and the paperwork; simply enter the possible outcomes and the number of events or tries and leave the rest on this Probability Calculator.

If you are one of us who forgot the probability equations that we learned in school and now you don’t know how to calculate probability, then don’t get panic as this Probability Distribution Calculator will make calculating probability the easiest task for you. If you want to calculate probability of A and B in single or multiple events, simply enter the possible outcomes and number of events and ta-da! Calculating Probability wasn’t that easy before the launch of this FREE Online Probability Calculator. Just put in a couple of figures and you’re done. It’s not a simple Probability Calculator for calculating probability of A and B rather it’s a complete Probability distribution calculator where you can calculate single and multiple probability notation.

Probability is simply the method of calculating mathematically the chance or risk if a certain event happens. In our everyday life, we apply probability theory even if we don’t have any idea of it but calculating probability makes the situation clear and it helps you in making some rational decisions.

Let’s understand probability with a common example of a dice roll. Suppose you have a standard 6 face dice and you roll it. Now what are the chances that you will get 4? Though this Online Calculator is not just a Dice Roll Probability Calculator, for understanding let’s calculator probability of getting 4 in a single dice roll.

By default, our calculator is set on “Single” option and here you will see two data input fields. In the first field, you will have to enter the number of possible outcomes.

So here in our dice roll example there are 6 possible outcomes because it’s a Standard Six Sided Dice. In the next field you have to tell how many times you are going to roll the dice. And here in our example we rolled the dice only once and we want to know what are the chances of getting 4. So enter in the field of “Number of Events Occurred” the number of times we rolled the dice which is “1”. Now click or tap on “CALCULATE” button to calculate probability. After calculating probability,

it will show that chance of getting 4 is about 0.167 i.e. almost 16.67% and risk of not getting 4 is about 0.833 or 83.33% almost. Wasn’t that simple and easy using this Normal Probability Calculator?

From the above example, you might be able to draft the formula for probability. But let’s discuss here the standard formula for probability.

Probability is normally denoted with capital “P” and desired event can be denoted with any Alphabet other than P and N like A, B, C, or X, Y, Z or any other letter.

Possible outcomes are expressed with small letter “n” and the number of events is denoted with “n(A)”.

Now come to the formula for probability, so here’s the formula based on theoretical probability definition:

Probability of Event P(A) =No of event Occurred

No. of Possible Outcomes

And the mathematical formula for probability is:

**P(A) = n(A)/n**

And if you want to calculate probability of certain even not happening then the formula is very simple:

**P(A’) = 1 – P(A)**

It is also sometimes called or termed as Single Event Complement Probability i.e. risk of a certain event not occurring.

Now you know how to find probability of a single event. Based on the same formula, you can find probability of multiple events. Well! All the formulae for Probability are mentioned above in the probability calculator section. You can learn them by heart if you want to find probability manually. But when you have our Probability Calculator, why you want to learn formula for probability or probability equations?

If things are not simple and you don’t have any idea how to calculate probability of multiple events or don’t have time for the complex calculations on paper, then again our Probability Distribution Calculator will help you. It’s not just a normal probability calculator. You can calculate probability of A and B or the probability of A or B where A and B are two events for which you want to calculate the probability.

We are not going to explain the derivation of the complex formula for joint and exclusive probability but we’ll try to clear the concepts if you are not already clear. Now let’s come back to our dice example. Let’s suppose you have not just one but at least two dice to roll at the same time. And you want 4 and 5 on the dice. Now we will calculate the joint probability i.e. probability of getting 4 and also the chance of getting 5 at the same time in single roll. This is called joint probability and mathematically it will be denoted as:

**P(A ∩ B)=P(A) x P(B)**

Now let’s discuss the exclusive probability. We have again a single dice but now you want either 4 or 5 to win the game. Chance of getting 4 or 5 in a single dice roll will be calculated using exclusive probability formula i.e.:

**P(A ∪ B)=P(A) + P(B) – P(A ∩ B)**

If you got the concepts clear, you don’t need to bother to learn the formula rather better idea is to save time and utilize our probability distribution calculator which is specifically designed to calculate probability.

Is it Also a Conditional Probability Calculator?

The simple answer to this question is: “Yes! It’s also a conditional probability calculator.” Well let’s discuss first what conditional probability is. If we attach compulsion or condition at the outcomes we want, then it is called conditional probability. The stipulated event must occur first and the stipulated event won’t occur, happening of second event will be useless. Most people get it confused with joint probability but in joint probability, two events happen at the same time. Well here’s conditional probability formula:

**P(A | B)=P(A ∩ B) / P(B)**

Now we can clearly see that if the stipulated event B will not occur or will have zero chance of happening, then probability will be undefined.

Well! Don’t get confused at all in the definitions and formula or probability equations. Simply use our Probability calculator to find probability of single or multiple events.