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Probability of Atleast One Event Occurring Formula

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Probability of Occurrence of Atleast One Event is the likelihood that any one or more of these events will happen. Check FAQs
P(A∪B∪C)=P(A)+P(B)+P(C)-P(A∩B)-P(B∩C)-P(A∩C)+P(A∩B∩C)
P(A∪B∪C) - Probability of Occurrence of Atleast One Event?P(A) - Probability of Event A?P(B) - Probability of Event B?P(C) - Probability of Event C?P(A∩B) - Probability of Occurrence of Event A and Event B?P(B∩C) - Probability of Occurrence of Event B and Event C?P(A∩C) - Probability of Occurrence of Event A and Event C?P(A∩B∩C) - Probability of Occurrence of All Three Events?

Probability of Atleast One Event Occurring Example

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Here is how the Probability of Atleast One Event Occurring equation looks like with Values.

Here is how the Probability of Atleast One Event Occurring equation looks like with Units.

Here is how the Probability of Atleast One Event Occurring equation looks like.

0.92Edit=0.5Edit+0.2Edit+0.8Edit-0.1Edit-0.16Edit-0.4Edit+0.08Edit
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Home » Math » Probability and Disribution » Probability » Probability of Atleast One Event Occurring

Probability of Atleast One Event Occurring Solution

Follow our step by step solution on how to calculate Probability of Atleast One Event Occurring?

FIRST Step Consider the formula
P(A∪B∪C)=P(A)+P(B)+P(C)-P(A∩B)-P(B∩C)-P(A∩C)+P(A∩B∩C)
Next Step Substitute values of Variables
∴ P(A∪B∪C)=0.5+0.2+0.8-0.1-0.16-0.4+0.08
Next Step Prepare to Evaluate
∴ P(A∪B∪C)=0.5+0.2+0.8-0.1-0.16-0.4+0.08
LAST Step Evaluate
∴P(A∪B∪C)=0.92

Probability of Atleast One Event Occurring Formula Elements

Variables
Probability of Occurrence of Atleast One Event
Probability of Occurrence of Atleast One Event is the likelihood that any one or more of these events will happen.
Symbol: P(A∪B∪C)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Probability of Event A
Probability of Event A is the likelihood that event A happens.
Symbol: P(A)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Probability of Event B
Probability of Event B is the likelihood that event B happens.
Symbol: P(B)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Probability of Event C
Probability of Event C is the likelihood that event C happens.
Symbol: P(C)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
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.
Symbol: P(A∩B)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Probability of Occurrence of Event B and Event C
Probability of Occurrence of Event B and Event C is the likelihood that two events B and C happen together.
Symbol: P(B∩C)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Probability of Occurrence of Event A and Event C
Probability of Occurrence of Event A and Event C is the likelihood that two events A and C happen together.
Symbol: P(A∩C)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Probability of Occurrence of All Three Events
Probability of Occurrence of All Three Events is the likelihood that three events A, B and C happen together.
Symbol: P(A∩B∩C)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.

Credits

Creator Image
Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has created this Formula and 1100+ more formulas!
Verifier Image
Verified by Nikita Salampuria
The National Institute of Engineering (NIE), Mysuru
Nikita Salampuria has verified this Formula and 600+ more formulas!

Other formulas in Probability of Three Events category

​Go Probability of All Independent Events Occurring
P(A∩B∩C)=P(A)⋅P(B)⋅P(C)
​Go Probability of Atleast Two Events Occurring
P(Atleast Two)=(P(A)⋅P(B))+(P(A')⋅P(B)⋅P(C))+(P(A)⋅P(B')⋅P(C))

How to Evaluate Probability of Atleast One Event Occurring?

Probability of Atleast One Event Occurring evaluator uses 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 to evaluate the Probability of Occurrence of Atleast One Event, The Probability of Atleast One Event Occurring formula is defined as the likelihood that at least one of the events A, B, or C occurs which means any one or more of these events will happen, considering that they are mutually inclusive events, i.e. the events can happen at the same time. Probability of Occurrence of Atleast One Event is denoted by P(A∪B∪C) symbol.

How to evaluate Probability of Atleast One Event Occurring using this online evaluator? To use this online evaluator for Probability of Atleast One Event Occurring, enter Probability of Event A (P(A)), Probability of Event B (P(B)), Probability of Event C (P(C)), Probability of Occurrence of Event A and Event B (P(A∩B)), Probability of Occurrence of Event B and Event C (P(B∩C)), Probability of Occurrence of Event A and Event C (P(A∩C)) & Probability of Occurrence of All Three Events (P(A∩B∩C)) and hit the calculate button.

FAQs on Probability of Atleast One Event Occurring

What is the formula to find Probability of Atleast One Event Occurring?
The formula of Probability of Atleast One Event Occurring is expressed as 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. Here is an example- 1.185 = 0.5+0.2+0.8-0.1-0.16-0.4+0.08.
How to calculate Probability of Atleast One Event Occurring?
With Probability of Event A (P(A)), Probability of Event B (P(B)), Probability of Event C (P(C)), Probability of Occurrence of Event A and Event B (P(A∩B)), Probability of Occurrence of Event B and Event C (P(B∩C)), Probability of Occurrence of Event A and Event C (P(A∩C)) & Probability of Occurrence of All Three Events (P(A∩B∩C)) we can find Probability of Atleast One Event Occurring using the formula - 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.
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