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Probability of Occurrence of Exactly One Event is the likelihood that only one out of the three events A, B and C will happen, ensuring that no more than one event occurs. Check FAQs
P(Exactly One)=(P(A)⋅(1-P(B))⋅(1-P(C)))+((1-P(A))⋅P(B)⋅(1-P(C)))+((1-P(A))⋅(1-P(B))⋅P(C))
P(Exactly One) - Probability of Occurrence of Exactly One Event?P(A) - Probability of Event A?P(B) - Probability of Event B?P(C) - Probability of Event C?

Probability of Exactly One Event Occurring given Probability of Events Example

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Here is how the Probability of Exactly One Event Occurring given Probability of Events equation looks like with Values.

Here is how the Probability of Exactly One Event Occurring given Probability of Events equation looks like with Units.

Here is how the Probability of Exactly One Event Occurring given Probability of Events equation looks like.

0.42Edit=(0.5Edit⋅(1-0.2Edit)⋅(1-0.8Edit))+((1-0.5Edit)⋅0.2Edit⋅(1-0.8Edit))+((1-0.5Edit)⋅(1-0.2Edit)⋅0.8Edit)
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HomeIcon Home » Category Math » Category Probability and Disribution » Category Probability » fx Probability of Exactly One Event Occurring given Probability of Events

Probability of Exactly One Event Occurring given Probability of Events Solution

Follow our step by step solution on how to calculate Probability of Exactly One Event Occurring given Probability of Events?

FIRST Step Consider the formula
P(Exactly One)=(P(A)⋅(1-P(B))⋅(1-P(C)))+((1-P(A))⋅P(B)⋅(1-P(C)))+((1-P(A))⋅(1-P(B))⋅P(C))
Next Step Substitute values of Variables
∴ P(Exactly One)=(0.5⋅(1-0.2)⋅(1-0.8))+((1-0.5)⋅0.2⋅(1-0.8))+((1-0.5)⋅(1-0.2)⋅0.8)
Next Step Prepare to Evaluate
∴ P(Exactly One)=(0.5⋅(1-0.2)⋅(1-0.8))+((1-0.5)⋅0.2⋅(1-0.8))+((1-0.5)⋅(1-0.2)⋅0.8)
LAST Step Evaluate
∴P(Exactly One)=0.42

Probability of Exactly One Event Occurring given Probability of Events Formula Elements

Variables
Probability of Occurrence of Exactly One Event
Probability of Occurrence of Exactly One Event is the likelihood that only one out of the three events A, B and C will happen, ensuring that no more than one event occurs.
Symbol: P(Exactly One)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Formulas to find Probability of Occurrence of Exactly One EventOpen 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 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

Other Formulas to find Probability of Occurrence of Exactly One Event

​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))

Other formulas in Probability of Three Events category

​Go Probability of None of Events Occurring
P((A∪B∪C)')=1-(P(A)+P(B)+P(C)-(P(A)⋅P(B))-(P(B)⋅P(C))-(P(C)⋅P(A))+(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'))
​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))
​Go Probability of Atleast One Event Occurring given Probability of Events
P(A∪B∪C)=P(A)+P(B)+P(C)-(P(A)⋅P(B))-(P(B)⋅P(C))-(P(C)⋅P(A))+(P(A)⋅P(B)⋅P(C))

How to Evaluate Probability of Exactly One Event Occurring given Probability of Events?

Probability of Exactly One Event Occurring given Probability of Events evaluator uses Probability of Occurrence of Exactly One Event = (Probability of Event A*(1-Probability of Event B)*(1-Probability of Event C))+((1-Probability of Event A)*Probability of Event B*(1-Probability of Event C))+((1-Probability of Event A)*(1-Probability of Event B)*Probability of Event C) to evaluate the Probability of Occurrence of Exactly One Event, The Probability of Exactly One Event Occurring given Probability of Events formula is defined as the likelihood that only one out of the three events A, B and C will happen, ensuring that no more than one event occurs, considering that they are independent events, i.e. the outcome of one event does not affect the outcome of another, calculated using probability of events A, B and C. Probability of Occurrence of Exactly One Event is denoted by P(Exactly One) symbol.

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

FAQs on Probability of Exactly One Event Occurring given Probability of Events

What is the formula to find Probability of Exactly One Event Occurring given Probability of Events?
The formula of Probability of Exactly One Event Occurring given Probability of Events is expressed as Probability of Occurrence of Exactly One Event = (Probability of Event A*(1-Probability of Event B)*(1-Probability of Event C))+((1-Probability of Event A)*Probability of Event B*(1-Probability of Event C))+((1-Probability of Event A)*(1-Probability of Event B)*Probability of Event C). Here is an example- 0.42 = (0.5*(1-0.2)*(1-0.8))+((1-0.5)*0.2*(1-0.8))+((1-0.5)*(1-0.2)*0.8).
How to calculate Probability of Exactly One Event Occurring given Probability of Events?
With Probability of Event A (P(A)), Probability of Event B (P(B)) & Probability of Event C (P(C)) we can find Probability of Exactly One Event Occurring given Probability of Events using the formula - Probability of Occurrence of Exactly One Event = (Probability of Event A*(1-Probability of Event B)*(1-Probability of Event C))+((1-Probability of Event A)*Probability of Event B*(1-Probability of Event C))+((1-Probability of Event A)*(1-Probability of Event B)*Probability of Event C).
What are the other ways to Calculate Probability of Occurrence of Exactly One Event?
Here are the different ways to Calculate Probability of Occurrence of Exactly One Event-
  • 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)OpenImg
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