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) = ^{xA} ⁄ _{N}_{A}

P(B) = ^{xB} ⁄ _{N}_{B}

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))

P(A or B) = ^{xA} ⁄ _{N}_{A} + ^{xB} ⁄ _{N}_{B} – (^{xA} ⁄ _{N}_{A} x ^{xB } ⁄ _{N}_{B})

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.**

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