How to Calculate and Solve for Mutually Exclusive | Probability

The image above represents mutually exclusive.

To compute for 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)
P(A or B) = xANA + xBNB
P(A or B) = 1214 + 917
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.

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