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Probability of Atleast Two Events Occurring Formula

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Probability of Occurrence of Atleast Two Events is the likelihood that any two or more of these events will happen. Check FAQs
P(Atleast Two)=(P(A)⋅P(B))+(P(A')⋅P(B)⋅P(C))+(P(A)⋅P(B')⋅P(C))
P(Atleast Two) - Probability of Occurrence of Atleast Two Events?P(A) - Probability of Event A?P(B) - Probability of Event B?P(A') - Probability of Non-Occurrence of Event A?P(C) - Probability of Event C?P(B') - Probability of Non-Occurrence of Event B?

Probability of Atleast Two Events Occurring Example

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Here is how the Probability of Atleast Two Events Occurring equation looks like with Values.

Here is how the Probability of Atleast Two Events Occurring equation looks like with Units.

Here is how the Probability of Atleast Two Events Occurring equation looks like.

0.5Edit=(0.5Edit⋅0.2Edit)+(0.5Edit⋅0.2Edit⋅0.8Edit)+(0.5Edit⋅0.8Edit⋅0.8Edit)
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HomeIcon Home » Category Math » Category Probability and Disribution » Category Probability » fx Probability of Atleast Two Events Occurring

Probability of Atleast Two Events Occurring Solution

Follow our step by step solution on how to calculate Probability of Atleast Two Events Occurring?

FIRST Step Consider the formula
P(Atleast Two)=(P(A)⋅P(B))+(P(A')⋅P(B)⋅P(C))+(P(A)⋅P(B')⋅P(C))
Next Step Substitute values of Variables
∴ P(Atleast Two)=(0.5⋅0.2)+(0.5⋅0.2⋅0.8)+(0.5⋅0.8⋅0.8)
Next Step Prepare to Evaluate
∴ P(Atleast Two)=(0.5⋅0.2)+(0.5⋅0.2⋅0.8)+(0.5⋅0.8⋅0.8)
LAST Step Evaluate
∴P(Atleast Two)=0.5

Probability of Atleast Two Events Occurring Formula Elements

Variables
Probability of Occurrence of Atleast Two Events
Probability of Occurrence of Atleast Two Events is the likelihood that any two or more of these events will happen.
Symbol: P(Atleast Two)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Formulas to find Probability of Occurrence of Atleast Two EventsOpen Variable
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.
Formulas to find Probability of Event AOpen Variable
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.
Formulas to find Probability of Event BOpen Variable
Probability of Non-Occurrence of Event A
Probability of Non-Occurrence of Event A is the likelihood that event A does not happen or the probability of the complement of event A occurring.
Symbol: P(A')
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Formulas to find Probability of Non-Occurrence of Event AOpen Variable
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.
Formulas to find Probability of Event COpen Variable
Probability of Non-Occurrence of Event B
Probability of Non-Occurrence of Event B is the likelihood that event B does not happen or the probability of the complement of event B occurring.
Symbol: P(B')
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Formulas to find Probability of Non-Occurrence of Event BOpen Variable

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 One Event Occurring
P(A∪B∪C)=P(A)+P(B)+P(C)-P(A∩B)-P(B∩C)-P(A∩C)+P(A∩B∩C)
​Go Probability of Exactly One Event Occurring
P(Exactly One)=(P(A)⋅P(B')⋅P(C'))+(P(A')⋅P(B)⋅P(C'))+(P(A')⋅P(B')⋅P(C))
​Go Probability of Exactly Two Events Occurring
P(Exactly Two)=(P(A')⋅P(B)⋅P(C))+(P(A)⋅P(B')⋅P(C))+(P(A)⋅P(B)⋅P(C'))

How to Evaluate Probability of Atleast Two Events Occurring?

Probability of Atleast Two Events Occurring evaluator uses 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) to evaluate the Probability of Occurrence of Atleast Two Events, The Probability of Atleast Two Events Occurring formula is defined as the likelihood that at least two of the events A, B, or C occurs which means any two 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 Two Events is denoted by P(Atleast Two) symbol.

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

FAQs on Probability of Atleast Two Events Occurring

What is the formula to find Probability of Atleast Two Events Occurring?
The formula of Probability of Atleast Two Events Occurring is expressed as 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). Here is an example- 0.36 = (0.5*0.2)+(0.5*0.2*0.8)+(0.5*0.8*0.8).
How to calculate Probability of Atleast Two Events Occurring?
With Probability of Event A (P(A)), Probability of Event B (P(B)), Probability of Non-Occurrence of Event A (P(A')), Probability of Event C (P(C)) & Probability of Non-Occurrence of Event B (P(B')) we can find Probability of Atleast Two Events Occurring using the formula - 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).
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