How to Calculate and Solve for Mutually Non-Exclusive | Probability

Last Updated on March 28, 2024

The image above represents mutually non-exclusive.

To compute for mutually non-exclusive, four essential parameters are needed and these parameters are x_A, N_A, x_B and N_B.

The formula for calculating mutually non-exclusive:

P(A or B) = P(A) + P(B) – P(A and B)

Where;

P(A or B) = Mutually Non-Exclusive
P(A) = ^x_A ⁄ _NA
P(B) = ^x_B ⁄ _NB

Let’s solve an example;
Find the mutually non-exclusive when the x_A is 10, N_A is 20, x_B is 5 and N_B is 12.

This implies that;

x_A = 10
N_A = 20
x_B = 5
N_B = 12

P(A or B) = P(A) + P(B) – P(A and B)
P(A or B) = P(A) + P(B) – (P(A) x P(B))
So, P(A or B) = ^x_A ⁄ _NA + ^x_B ⁄ _NB – (^x_A ⁄ _NA x ^x_B ⁄ _NB)
P(A or B) = ¹⁰ ⁄ ₂₀ + ⁵ ⁄ ₁₂ – (¹⁰ ⁄ ₂₀ x ⁵ ⁄ ₁₂)
P(A or B) = ^{10(12) + 5(20)} ⁄ _(20)(12) – (^(10)(5) ⁄ _(20)(12))
Then, P(A or B) = ^{120 + 100} ⁄ ₂₄₀ – (⁵⁰ ⁄ ₂₄₀)
P(A or B) = ²²⁰ ⁄ ₂₄₀ – ⁵⁰ ⁄ ₂₄₀
That is, P(A or B) = ^{(220 – 50)} ⁄ ₂₄₀
P(A or B) = ¹⁷⁰ ⁄ ₂₄₀
Dividing the numerator and denominator by 10
P(A or B) = ¹⁷ ⁄ ₂₄
P(A or B) = 0.708

Therefore, the mutually non-exclusive is 0.708.

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

How to Calculate and Solve for Mutually Non-Exclusive Probability Using Nickzom Calculator

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

To get the answer and workings of the mutually non-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 Non-Exclusive under Probability

The screenshot below displays the page or activity to enter your values, to get the answer for the mutually non-exclusive according to the respective parameters which are the x_A, N_A, x_B and N_B.

Now, enter the values appropriately and accordingly for the parameters as required by the x_A is 10, N_A is 20, x_B is 5 and N_B is 12.

Finally, Click on Calculate

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