Mathematics

How to Calculate and Solve for Mutually Exclusive | Probability

Last Updated on March 28, 2024

The image above represents mutually exclusive. To calculate mutually exclusive, four essential parameters are needed and these are xA, NA, xB and NB.

The formula for calculating mutually exclusive:

P(A or B) = P(A) + P(B)

Where;

P(A or B) = Mutually Exclusive
P(A) = xANA
P(B) = xBNB

Let’s solve an example;
Find the mutually exclusive when the xA is 12, NA is 14, xB is 9 and NB is 17.

This implies that;

xA = 12
NA = 14
xB = 9
NB = 17

P(A or B) = P(A) + P(B)
So, P(A or B) = xANA + xBNB
P(A or B) = 1214 + 917
That is, P(A or B) = 12(17) + 9(14)(14)(17)
P(A or B) = 204 + 126238
P(A or B) = 330238
Dividing the numerator and denominator by 2
P(A or B) = 165119
P(A or B) = 1.386

Therefore, the mutually exclusive is 1.386.

Read more: How to Calculate and Solve for P(A and B) | Probability

How to Calculate and Solve for Mutually Exclusive Probability With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the mutually exclusive.

To get the answer and workings of the mutually exclusive using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Probability under Mathematics.

Now, Click on Mutually Exclusive under Probability

The screenshot below displays the page or activity to enter your values, to get the answer for the mutually exclusive according to the respective parameters which are the xA, NA, xB and NB.

How to Calculate and Solve for Mutually Exclusive | Probability

Now, enter the values appropriately and accordingly for the parameters as required by the xA is 12, NA is 14, xB is 9 and NB is 17.

How to Calculate and Solve for Mutually Exclusive | Probability

Finally, Click on Calculate

How to Calculate and Solve for Mutually Exclusive | Probability

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the mutually exclusive and presents the formula, workings and steps too.

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