LCM of two numbers

Probability of Event A or B Occurring Calculator

Math Chemistry Engineering Financial More >>

↳

Probability and Disribution Algebra Arithmetic Combinatorics More >>

⤿

Probability Distribution

⤿

Probability of Two Events Important Formulas of Probability Odds Probability Probability of Three Events

✖Probability of Event A is the likelihood that event A happens.ⓘ Probability of Event A [P_(A)]			+10% -10%
✖Probability of Event B is the likelihood that event B happens.ⓘ Probability of Event B [P_(B)]			+10% -10%
✖Probability of Occurrence of Event A and Event B is the likelihood that two events A and B happen together.ⓘ Probability of Occurrence of Event A and Event B [P_(A∩B)]			+10% -10%

✖Probability of Occurrence of Event A or Event B is the likelihood that event A or B occur.ⓘ Probability of Event A or B Occurring [P_(A∪B)]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Probability Formula PDF PDF Image

Probability of Event A or B Occurring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B-Probability of Occurrence of Event A and Event B
P_(A∪B) = P_(A)+P_(B)-P_(A∩B)
This formula uses 4 Variables

Variables Used

Probability of Occurrence of Event A or Event B - Probability of Occurrence of Event A or Event B is the likelihood that event A or B occur.
Probability of Event A - Probability of Event A is the likelihood that event A happens.
Probability of Event B - Probability of Event B is the likelihood that event B happens.
Probability of Occurrence of Event A and Event B - Probability of Occurrence of Event A and Event B is the likelihood that two events A and B happen together.

STEP 1: Convert Input(s) to Base Unit

Probability of Event A: 0.5 --> No Conversion Required
Probability of Event B: 0.2 --> No Conversion Required
Probability of Occurrence of Event A and Event B: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_(A∪B) = P_(A)+P_(B)-P_(A∩B) --> 0.5+0.2-0.1

Evaluating ... ...

P_(A∪B) = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Probability of Occurrence of Event A or Event B

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Probability and Disribution » Probability » Probability of Two Events » Probability of Event A or B Occurring

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< Probability of Two Events Calculators

Probability of Event A or B Occurring

LaTeX Go Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B-Probability of Occurrence of Event A and Event B

Probability of Independent Events A and B Occurring Together

LaTeX Go Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B

Probability of Mutually Exclusive Events A or B Occurring

LaTeX Go Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B

Probability of Event A Not Occurring

LaTeX Go Probability of Non-Occurrence of Event A = 1-Probability of Event A

< Probability of Two or More Events Calculators

Probability of Exactly One Event Occurring

LaTeX Go Probability of Occurrence of Exactly One Event = (Probability of Event A*Probability of Non-Occurrence of Event B*Probability of Non-Occurrence of Event C)+(Probability of Non-Occurrence of Event A*Probability of Event B*Probability of Non-Occurrence of Event C)+(Probability of Non-Occurrence of Event A*Probability of Non-Occurrence of Event B*Probability of Event C)

Probability of Atleast One Event Occurring

LaTeX Go Probability of Occurrence of Atleast One Event = Probability of Event A+Probability of Event B+Probability of Event C-Probability of Occurrence of Event A and Event B-Probability of Occurrence of Event B and Event C-Probability of Occurrence of Event A and Event C+Probability of Occurrence of All Three Events

Probability of Atleast Two Events Occurring

LaTeX Go Probability of Occurrence of Atleast Two Events = (Probability of Event A*Probability of Event B)+(Probability of Non-Occurrence of Event A*Probability of Event B*Probability of Event C)+(Probability of Event A*Probability of Non-Occurrence of Event B*Probability of Event C)

Probability of All Independent Events Occurring

LaTeX Go Probability of Occurrence of All Three Events = Probability of Event A*Probability of Event B*Probability of Event C

Probability of Event A or B Occurring Formula

LaTeX Go

Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B-Probability of Occurrence of Event A and Event B
P_(A∪B) = P_(A)+P_(B)-P_(A∩B)

What is Probability?

In Mathematics, Probability theory is the study of chances. In real life, we predict chances depending on the situation. But Probability theory is bringing a mathematical foundation for the concept of Probability. For example, if a box contain 10 balls which include 7 black balls and 3 red balls and randomly chosen one ball. Then the Probability of getting red ball is 3/10 and Probability of getting black ball is 7/10. When coming to statistics, Probability is like the back bone of statistics. It has a wide application in decision making, data science, business trend studies, etc.

How to Calculate Probability of Event A or B Occurring?

Probability of Event A or B Occurring calculator uses Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B-Probability of Occurrence of Event A and Event B to calculate the Probability of Occurrence of Event A or Event B, The Probability of Event A or B Occurring formula is defined as the likelihood that event A or B occur where A and B are mutually inclusive events, i.e. the events can happen at the same time. Probability of Occurrence of Event A or Event B is denoted by P_(A∪B) symbol.

How to calculate Probability of Event A or B Occurring using this online calculator? To use this online calculator for Probability of Event A or B Occurring, enter Probability of Event A (P_(A)), Probability of Event B (P_(B)) & Probability of Occurrence of Event A and Event B (P_(A∩B)) and hit the calculate button. Here is how the Probability of Event A or B Occurring calculation can be explained with given input values -> 0.45 = 0.5+0.2-0.1.

FAQ

What is Probability of Event A or B Occurring?

The Probability of Event A or B Occurring formula is defined as the likelihood that event A or B occur where A and B are mutually inclusive events, i.e. the events can happen at the same time and is represented as P_(A∪B) = P_(A)+P_(B)-P_(A∩B) or Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B-Probability of Occurrence of Event A and Event B. Probability of Event A is the likelihood that event A happens, Probability of Event B is the likelihood that event B happens & Probability of Occurrence of Event A and Event B is the likelihood that two events A and B happen together.

How to calculate Probability of Event A or B Occurring?

The Probability of Event A or B Occurring formula is defined as the likelihood that event A or B occur where A and B are mutually inclusive events, i.e. the events can happen at the same time is calculated using Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B-Probability of Occurrence of Event A and Event B. To calculate Probability of Event A or B Occurring, you need Probability of Event A (P_(A)), Probability of Event B (P_(B)) & Probability of Occurrence of Event A and Event B (P_(A∩B)). With our tool, you need to enter the respective value for Probability of Event A, Probability of Event B & Probability of Occurrence of Event A and Event B and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Probability of Occurrence of Event A or Event B?

In this formula, Probability of Occurrence of Event A or Event B uses Probability of Event A, Probability of Event B & Probability of Occurrence of Event A and Event B. We can use 2 other way(s) to calculate the same, which is/are as follows -

Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B
Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B

Home

FREE PDFs

🔍 Search