Probability of Event A Occurring given Event B occurs using Baye's Theorem Calculator

✖Probability of Event B given Event A Occurs is the probability of a second event A occurring based on the probability of the first event B occurring, where two events occur in relation to one another.ⓘ Probability of Event B given Event A Occurs [P_(B\|A)]			+10% -10%
✖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 Event A given Event B Occurs is the probability of a second event B occurring based on the probability of the first event A occurring, where two events occur in relation to one another.ⓘ Probability of Event A Occurring given Event B occurs using Baye's Theorem [P_(A|B)]

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Formula

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Probability of Event A Occurring given Event B occurs using Baye's Theorem

Formula

`"P"_{"(A|B)"} = ("P"_{"(B|A)"}*"P"_{"(A)"})/"P"_{"(B)"}`

Example

`"0.5"=("0.2"*"0.5")/"0.2"`

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Probability of Event A Occurring given Event B occurs using Baye's Theorem Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probability of Event A given Event B Occurs = (Probability of Event B given Event A Occurs*Probability of Event A)/Probability of Event B
P_(A|B) = (P_(B|A)*P_(A))/P_(B)
This formula uses 4 Variables

Variables Used

Probability of Event A given Event B Occurs - Probability of Event A given Event B Occurs is the probability of a second event B occurring based on the probability of the first event A occurring, where two events occur in relation to one another.
Probability of Event B given Event A Occurs - Probability of Event B given Event A Occurs is the probability of a second event A occurring based on the probability of the first event B occurring, where two events occur in relation to one another.
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.

STEP 1: Convert Input(s) to Base Unit

Probability of Event B given Event A Occurs: 0.2 --> No Conversion Required
Probability of Event A: 0.5 --> No Conversion Required
Probability of Event B: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_(A|B) = (P_(B|A)*P_(A))/P_(B) --> (0.2*0.5)/0.2

Evaluating ... ...

P_(A|B) = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Probability of Event A given Event B Occurs

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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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 Occurring given Event B occurs using Baye's Theorem Formula

Probability of Event A given Event B Occurs = (Probability of Event B given Event A Occurs*Probability of Event A)/Probability of Event B
P_(A|B) = (P_(B|A)*P_(A))/P_(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.

What is Baye's Theorem?

Bayes’ theorem is a mathematical formula used to calculate conditional probability. It is named after Reverend Thomas Bayes, who first formulated the theorem in the 18th century. The theorem provides a way to revise existing predictions or theories given new or additional evidence. It is often used in science, engineering, economics, and other fields to make predictions or decisions based on incomplete or uncertain information.

How to Calculate Probability of Event A Occurring given Event B occurs using Baye's Theorem?

Probability of Event A Occurring given Event B occurs using Baye's Theorem calculator uses Probability of Event A given Event B Occurs = (Probability of Event B given Event A Occurs*Probability of Event A)/Probability of Event B to calculate the Probability of Event A given Event B Occurs, The Probability of Event A Occurring given Event B occurs using Baye's Theorem formula is defined as the conditional probability, i.e. the probability of a second event B occurring based on the probability of the first event A occurring, where two events occurring in relation to one another, and calculated using Baye's Theorem. Probability of Event A given Event B Occurs is denoted by P_(A|B) symbol.

How to calculate Probability of Event A Occurring given Event B occurs using Baye's Theorem using this online calculator? To use this online calculator for Probability of Event A Occurring given Event B occurs using Baye's Theorem, enter Probability of Event B given Event A Occurs (P_(B|A)), Probability of Event A (P_(A)) & Probability of Event B (P_(B)) and hit the calculate button. Here is how the Probability of Event A Occurring given Event B occurs using Baye's Theorem calculation can be explained with given input values -> 1.3775 = (0.2*0.5)/0.2.

FAQ

What is Probability of Event A Occurring given Event B occurs using Baye's Theorem?

The Probability of Event A Occurring given Event B occurs using Baye's Theorem formula is defined as the conditional probability, i.e. the probability of a second event B occurring based on the probability of the first event A occurring, where two events occurring in relation to one another, and calculated using Baye's Theorem and is represented as P_(A|B) = (P_(B|A)*P_(A))/P_(B) or 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 Event B given Event A Occurs is the probability of a second event A occurring based on the probability of the first event B occurring, where two events occur in relation to one another, Probability of Event A is the likelihood that event A happens & Probability of Event B is the likelihood that event B happens.

How to calculate Probability of Event A Occurring given Event B occurs using Baye's Theorem?

The Probability of Event A Occurring given Event B occurs using Baye's Theorem formula is defined as the conditional probability, i.e. the probability of a second event B occurring based on the probability of the first event A occurring, where two events occurring in relation to one another, and calculated using Baye's Theorem is calculated using Probability of Event A given Event B Occurs = (Probability of Event B given Event A Occurs*Probability of Event A)/Probability of Event B. To calculate Probability of Event A Occurring given Event B occurs using Baye's Theorem, you need Probability of Event B given Event A Occurs (P_(B|A)), Probability of Event A (P_(A)) & Probability of Event B (P_(B)). With our tool, you need to enter the respective value for Probability of Event B given Event A Occurs, Probability of Event A & Probability of 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 Event A given Event B Occurs?

In this formula, Probability of Event A given Event B Occurs uses Probability of Event B given Event A Occurs, Probability of Event A & Probability of Event B. We can use 2 other way(s) to calculate the same, which is/are as follows -

Probability of Event A given Event B Occurs = Probability of Occurrence of Event A and Event B/Probability of Event B
Probability of Event A given Event B Occurs = Probability of Occurrence of Event A and Event B/Probability of Event B

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