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

The image above represents mutually non-exclusive.

To compute for mutually non-exclusive, four essential parameters are needed and these parameters are xA, NA, xB and NB.

The formula for calculating mutually non-exclusive:

P(A or B) = P(A) + P(B) – P(A and B)


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

Let’s solve an example;
Find the mutually non-exclusive when the xA is 10, NA is 20, xB is 5 and NB is 12.

This implies that;

xA = 10
NA = 20
xB = 5
NB = 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))
P(A or B) = xANA + xBNB – (xANA x xB 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))
P(A or B) = 120 + 100 240 – (50 240)
P(A or B) = 220 240 – 50 240
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.

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 –

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

Android (Paid) –
Android (Free) –
Apple (Paid) –
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 xA, NA, xB and NB.

Now, enter the values appropriately and accordingly for the parameters as required by the xA is 10, NA is 20, xB is 5 and NB 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.

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