Probability of Event A or B Occurring but Not Together Calculator

✖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 Event A or B but Not Together is the likelihood that either event A or event B occurs but both events not occurring together.ⓘ Probability of Event A or B Occurring but Not Together [P_(AΔB)]

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Formula

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Probability of Event A or B Occurring but Not Together

Formula

`"P"_{"(AΔB)"} = "P"_{"(A)"}+"P"_{"(B)"}-(2*"P"_{"(A∩B)"})`

Example

`"0.5"="0.5"+"0.2"-(2*"0.1")`

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Probability of Event A or B Occurring but Not Together Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_(AΔB) = P_(A)+P_(B)-(2*P_(A∩B))
This formula uses 4 Variables

Variables Used

Probability of Event A or B but Not Together - Probability of Event A or B but Not Together is the likelihood that either event A or event B occurs but both events not occurring together.
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_(AΔB) = P_(A)+P_(B)-(2*P_(A∩B)) --> 0.5+0.2-(2*0.1)

Evaluating ... ...

P_(AΔB) = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Probability of Event A or B but Not Together

(Calculation completed in 00.005 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 1100+ more calculators!

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Mumbai University (DJSCE), Mumbai

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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 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 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 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 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 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 Event A Not Occurring

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

Probability of Event A or B Occurring but Not Together Formula

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)
P_(AΔB) = P_(A)+P_(B)-(2*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 but Not Together?

Probability of Event A or B Occurring but Not Together calculator uses 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) to calculate the Probability of Event A or B but Not Together, The Probability of Event A or B Occurring but Not Together formula is defined as the likelihood that either event A or event B occurs but both events not occurring together. Probability of Event A or B but Not Together is denoted by P_(AΔB) symbol.

How to calculate Probability of Event A or B Occurring but Not Together using this online calculator? To use this online calculator for Probability of Event A or B Occurring but Not Together, 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 but Not Together calculation can be explained with given input values -> 0.2 = 0.5+0.2-(2*0.1).

FAQ

What is Probability of Event A or B Occurring but Not Together?

The Probability of Event A or B Occurring but Not Together formula is defined as the likelihood that either event A or event B occurs but both events not occurring together and is represented as P_(AΔB) = P_(A)+P_(B)-(2*P_(A∩B)) or 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 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 but Not Together?

The Probability of Event A or B Occurring but Not Together formula is defined as the likelihood that either event A or event B occurs but both events not occurring together is calculated using 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). To calculate Probability of Event A or B Occurring but Not Together, 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.

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