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)

Credits

Created by Team Softusvista
Softusvista Office (Pune), India
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Verified by Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
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9 Probability of Two Events Calculators

Probability of Neither of Events A or B Occurring
Go Probability of Non-Occurrence of Event A and B = 1-(Probability of Event A+Probability of Event B-Probability of Occurrence of Event A and Event B)
Probability of Event A or B Occurring but Not Together
Go Probability of Event A or B but Not Together = Probability of Event A+Probability of Event B-(2*Probability of Occurrence of Event A and Event B)
Probability of Event A or B Occurring
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 Event A Occurring given Event B occurs using Baye's Theorem
Go Probability of Event A given Event B Occurs = (Probability of Event B given Event A Occurs*Probability of Event A)/Probability of Event B
Probability of Dependent Events A and B Occurring Together
Go Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B given Event A Occurs
Probability of Event A Occurring given Event B occurs
Go Probability of Event A given Event B Occurs = Probability of Occurrence of Event A and Event B/Probability of Event B
Probability of Mutually Exclusive Events A or B Occurring
Go Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B
Probability of Independent Events A and B Occurring Together
Go Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B
Probability of Event A Not Occurring
Go Probability of Non-Occurrence of Event A = 1-Probability of Event A

15 Probability of Two or More Events Calculators

Probability of None of Events Occurring
Go Probability of Non Occurrence of Any Event = 1-(Probability of Event A+Probability of Event B+Probability of Event C-(Probability of Event A*Probability of Event B)-(Probability of Event B*Probability of Event C)-(Probability of Event C*Probability of Event A)+(Probability of Event A*Probability of Event B*Probability of Event C))
Probability of Exactly One Event Occurring
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 Exactly Two Events Occurring
Go Probability of Occurrence of Exactly Two Events = (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 Event A*Probability of Event B *Probability of Non-Occurrence of Event C)
Probability of Atleast One Event Occurring
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
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 Neither of Events A or B Occurring
Go Probability of Non-Occurrence of Event A and B = 1-(Probability of Event A+Probability of Event B-Probability of Occurrence of Event A and Event B)
Probability of Event A or B Occurring but Not Together
Go Probability of Event A or B but Not Together = Probability of Event A+Probability of Event B-(2*Probability of Occurrence of Event A and Event B)
Probability of Event A or B Occurring
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 Event A Occurring given Event B occurs using Baye's Theorem
Go Probability of Event A given Event B Occurs = (Probability of Event B given Event A Occurs*Probability of Event A)/Probability of Event B
Probability of All Independent Events Occurring
Go Probability of Occurrence of All Three Events = Probability of Event A*Probability of Event B*Probability of Event C
Probability of Dependent Events A and B Occurring Together
Go Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B given Event A Occurs
Probability of Event A Occurring given Event B occurs
Go Probability of Event A given Event B Occurs = Probability of Occurrence of Event A and Event B/Probability of Event B
Probability of Mutually Exclusive Events A or B Occurring
Go Probability of Occurrence of Event A or Event B = Probability of Event A+Probability of Event B
Probability of Independent Events A and B Occurring Together
Go Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B
Probability of Event A Not Occurring
Go Probability of Non-Occurrence of Event A = 1-Probability of Event A

Probability of Event A or B Occurring Formula

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
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