Probability of Dependent Events A and B Occurring Together Solution

STEP 0: Pre-Calculation Summary
Formula Used
Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B given Event A Occurs
P(A∩B) = P(A)*P(B|A)
This formula uses 3 Variables
Variables Used
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.
Probability of Event A - Probability of Event A is the likelihood that event A happens.
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.
STEP 1: Convert Input(s) to Base Unit
Probability of Event A: 0.5 --> No Conversion Required
Probability of Event B given Event A Occurs: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P(A∩B) = P(A)*P(B|A) --> 0.5*0.2
Evaluating ... ...
P(A∩B) = 0.1
STEP 3: Convert Result to Output's Unit
0.1 --> No Conversion Required
FINAL ANSWER
0.1 <-- Probability of Occurrence of Event A and Event B
(Calculation completed in 00.004 seconds)

Credits

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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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Verified by Nikhil
Mumbai University (DJSCE), Mumbai
Nikhil has verified this Calculator and 300+ more calculators!

Probability of Two Events Calculators

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 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 Two or More Events Calculators

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 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 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 Formula

Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B given Event A Occurs
P(A∩B) = P(A)*P(B|A)

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 Dependent Events A and B Occurring Together?

Probability of Dependent Events A and B Occurring Together calculator uses Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B given Event A Occurs to calculate the Probability of Occurrence of Event A and Event B, The Probability of Dependent Events A and B Occurring Together formula is defined as the likelihood that two events A and B happen together where A and B are dependent events, i.e. the outcome of one event affects the outcome of another. Probability of Occurrence of Event A and Event B is denoted by P(A∩B) symbol.

How to calculate Probability of Dependent Events A and B Occurring Together using this online calculator? To use this online calculator for Probability of Dependent Events A and B Occurring Together, enter Probability of Event A (P(A)) & Probability of Event B given Event A Occurs (P(B|A)) and hit the calculate button. Here is how the Probability of Dependent Events A and B Occurring Together calculation can be explained with given input values -> 0.2755 = 0.5*0.2.

FAQ

What is Probability of Dependent Events A and B Occurring Together?
The Probability of Dependent Events A and B Occurring Together formula is defined as the likelihood that two events A and B happen together where A and B are dependent events, i.e. the outcome of one event affects the outcome of another and is represented as P(A∩B) = P(A)*P(B|A) or 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 is the likelihood that event A happens & 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.
How to calculate Probability of Dependent Events A and B Occurring Together?
The Probability of Dependent Events A and B Occurring Together formula is defined as the likelihood that two events A and B happen together where A and B are dependent events, i.e. the outcome of one event affects the outcome of another is calculated using Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B given Event A Occurs. To calculate Probability of Dependent Events A and B Occurring Together, you need Probability of Event A (P(A)) & Probability of Event B given Event A Occurs (P(B|A)). With our tool, you need to enter the respective value for Probability of Event A & Probability of Event B given Event A Occurs 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 and Event B?
In this formula, Probability of Occurrence of Event A and Event B uses Probability of Event A & Probability of Event B given Event A Occurs. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B
  • Probability of Occurrence of Event A and Event B = Probability of Event A*Probability of Event B
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