The image above represents standard normal variable.

To compute for standard normal variable, three essential parameters are needed and these parameters are **value (x), mean (μ) **and **standard deviation (σ).**

The formula for calculating standard normal variable:

z = ^{(x – μ)} ⁄ _{σ}

Where;

z = Standard Normal Variable

x = Value

μ = Mean

σ = Standard Deviation

Let’s solve an example;

Find the standard normal variable when the value is 4, the mean is 20 and the standard deviation is 26.

This implies that;

x = Value = 4

μ = Mean = 20

σ = Standard Deviation = 26

z = ^{(x – μ)} ⁄ _{σ}

z = ^{(4 – 20)} ⁄ _{26}

z = ^{(-16)} ⁄ _{26}

z = -0.615

Therefore, the **standard normal variable** is **-0.615.**

**Calculating for Value when the Standard Normal Variable, the Mean and the Standard Deviation is Given.**

x = zσ + μ

Where;

x = Value

z = Standard Normal Variable

μ = Mean

σ = Standard Deviation

Let’s solve an example;

Find the value when the standard normal variable is 12, the mean is 10 and the standard deviation is 4.

This implies that;

z = Standard Normal Variable = 12

μ = Mean = 10

σ = Standard Deviation = 4

x = zσ + μ

x = (12)(4) + 10

x = 48 + 10

x = 58

Therefore, the **value **is **58.**

**Calculating for Mean when the Standard Normal Variable, the Value and the Standard Deviation is Given.**

μ = x – zσ

Where;

μ = Mean

z = Standard Normal Variable

x = Value

σ = Standard Deviation

Let’s solve an example;

Find the mean when the standard normal variable is 6, the value is 30 and the standard deviation is 3.

This implies that;

z = Standard Normal Variable = 6

x = Value = 30

σ = Standard Deviation = 3

μ = x – zσ

μ = 30 – (6)(3)

μ = 30 – 18

μ = 12

Therefore, the **mean **is **12.**

**Calculating for Standard Deviation when the Standard Normal Variable, the Value and the Mean is Given.**

σ = ^{x – μ} / _{z}

Where;

σ = Standard Deviation

z = Standard Normal Variable

x = Value

μ = Mean

Let’s solve an example;

Find the standard deviation when the standard normal variable is 8, the value is 40 and the mean is 8.

This implies that;

z = Standard Normal Variable = 8

x = Value = 40

μ = Mean = 8

σ = ^{x – μ} / _{z}

σ = ^{40 – 8} / _{8}

σ = ^{32} / _{8}

σ = 4

Therefore, the **standard deviation **is **4.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the standard normal variable.

To get the answer and workings of the standard normal variable 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 **Standard Normal Variable**** **under **Probability**

The screenshot below displays the page or activity to enter your values, to get the answer for the standard normal variable according to the respective parameters which are the **value (x), mean (μ) **and **standard deviation (σ).**

Now, enter the values appropriately and accordingly for the parameters as required by the **value (x)** is **4**,** mean (μ) **is **20 **and **standard deviation (σ) **is **26.**

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the standard normal variable and presents the formula, workings and steps too.

The image above represents standard deviation.

To compute for standard deviation, three essential parameters are needed and these parameters are **Number of possible outcomes in any single trial (n), Probability of a success in any single trial (p) **and **Probability of a failure in any single trial (q).**

The formula for calculating standard deviation:

σ = √(npq)

Where;

σ = Standard deviation

n = Number of Possible Outcomes in Any Single Trial

p = Probability of a Success in Any Single Trial

q = Probability of a Failure in Any Single Trial

Let’s solve an example;

Find the standard deviation when the number of possible outcomes in any single trial is 14, the probability of a success in any single trial is 0 and the probability of a failure in any single trial is 1.

This implies that;

n = Number of Possible Outcomes in Any Single Trial = 14

p = Probability of a Success in Any Single Trial = 0

q = Probability of a Failure in Any Single Trial = 1

σ = √(npq)

σ = √((14)(0)(1))

σ = √(0)

σ = 0

Therefore, the **standard deviation** is **0.**

**Calculating for Number of Possible Outcomes in Any Single Trial when the Standard Deviation, the Probability of a Success in Any Single Trial and the Probability of a Failure in Any Single Trial is Given.**

n = ^{σ2} / _{pq}

Where;

n = Number of Possible Outcomes in Any Single Trial

σ = Standard deviation

p = Probability of a Success in Any Single Trial

q = Probability of a Failure in Any Single Trial

Let’s solve an example;

Given that standard deviation is 5, the probability of a success in any single trial is 1 and the probability of a failure in any single trial is 1. Find the number of possible outcomes in any single trial?

This implies that;

σ = Standard deviation = 5

p = Probability of a Success in Any Single Trial = 1

q = Probability of a Failure in Any Single Trial = 1

n = ^{σ2} / _{pq}

n = ^{52} / _{1 x 1}

n = ^{25} / _{1}

n = 25

Therefore, the **number of possible outcomes in any single trial** is **25.**

**Calculating for Probability of a Success in Any Single Trial when the Standard Deviation, the Number of Possible Outcomes in Any Single Trial and the Probability of a Failure in Any Single Trial is Given.**

p = ^{σ2} / _{nq}

Where;

p = Probability of a Success in Any Single Trial

σ = Standard deviation

n = Number of Possible Outcomes in Any Single Trial

q = Probability of a Failure in Any Single Trial

Let’s solve an example;

Given that standard deviation is 2, the number of possible outcomes in any single trial is 2 and the probability of a failure in any single trial is 1. Find the probability of a success in any single trial?

This implies that;

σ = Standard deviation = 2

n = Number of Possible Outcomes in Any Single Trial = 2

q = Probability of a Failure in Any Single Trial = 1

p = ^{σ2} / _{nq}

p = ^{22} / _{2 x 1}

p = ^{4} / _{2}

p = 2

Therefore, the **probability of a success in any single trial** is **2.**

**Calculating for Probability of a Failure in Any Single Trial when the Standard Deviation, the Number of Possible Outcomes in Any Single Trial and the Probability of a Success in Any Single Trial is Given.**

q = ^{σ2} / _{nq}

Where;

q = Probability of a Failure in Any Single Trial

σ = Standard deviation

n = Number of Possible Outcomes in Any Single Trial

p = Probability of a Success in Any Single Trial

Let’s solve an example;

Given that standard deviation is 3, the number of possible outcomes in any single trial is 2, the probability of a success in any single trial is 1. Find the probability of a failure in any single trial?

This implies that;

σ = Standard deviation = 3

n = Number of Possible Outcomes in Any Single Trial = 2

p = Probability of a Success in Any Single Trial = 1

q = ^{σ2} / _{nq}

q = ^{32} / _{2 x 1}

q = ^{9} / _{2}

q = 4.5

Therefore, the **probability of a failure in any single trial **is **4.5.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the standard deviation.

To get the answer and workings of the standard deviation 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 **Standard Deviation**** **under **Probability**

The screenshot below displays the page or activity to enter your values, to get the answer for the standard deviation according to the respective parameters which are the **Number of possible outcomes in any single trial (n), Probability of a success in any single trial (p) **and **Probability of a failure in any single trial (q).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Number of possible outcomes in any single trial (n)** is **14**,** Probability of a success in any single trial (p) **is **0 **and **Probability of a failure in any single trial (q)** is **1**.

Finally, Click on Calculate

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

The image above represents mean.

To compute for mean, two essential parameters are needed and these are **number of possible outcomes in any single trial (n) **and **probability of success in any single trial (p).**

The formula for calculating mean:

μ = np

Where;

μ = Mean

n = Number of Possible Outcomes in Any Single Trial

p = Probability of success in any single trial

Let’s solve an example;

Find the mean when the number of possible outcomes in any single trial is 8 and the probability of success in any single trial is 1.

This implies that;

n = Number of Possible Outcomes in Any Single Trial = 8

p = Probability of success in any single trial = 1

μ = np

μ = (8)(1)

μ = 8

Therefore, the **mean** is **8.**

**Calculating for the Number of Possible Outcomes in Any Single Trial when the Mean and the Probability of Success in Any Single Trial is Given.**

n = ^{μ} / _{p}

Where;

n = Number of Possible Outcomes in Any Single Trial

μ = Mean

p = Probability of Success in Any Single Trial

Let’s solve an example;

Find the number of possible outcomes in any single trial when the mean is 15 and the probability of success in any single trial is 1.

This implies that;

μ = Mean = 15

p = Probability of Success in Any Single Trial = 1

n = ^{μ} / _{p}

n = ^{15} / _{1}

n = 15

Therefore, the **number of possible outcomes in any single trial **is **15.**

**Calculating for the Probability of Success in Any Single Trial when the Mean and the Number of Possible Outcomes in Any Single Trial is Given.**

p = ^{μ} / _{n}

Where;

p = Probability of Success in Any Single Trial

μ = Mean

n = Number of Possible Outcomes in Any Single Trial

Let’s solve an example;

Given the mean is 4 and the number of possible outcomes in any single trial is 2. Find the Probability of success in any single trial?

This implies that;

μ = Mean = 4

n = Number of Possible Outcomes in Any Single Trial = 2

p = ^{μ} / _{n}

p = ^{4} / _{2}

p = 2

Therefore, the **probability of success in any single trial **is **2.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the mean.

To get the answer and workings of the mean 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 **Mean**** **under **Probability**

The screenshot below displays the page or activity to enter your values, to get the answer for the mean according to the respective parameters which are the **number of possible outcomes in any single trial (n) **and **probability of success in any single trial (p).**

Now, enter the values appropriately and accordingly for the parameters as required by the **number of possible outcomes in any single trial (n) **is **8 **and **probability of success in any single trial (p)** is **1**.

Finally, Click on Calculate

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

The image above represents Poisson probability distribution.

To compute for Poisson probability distribution, two essential parameters are needed and these parameters are **Mean of the Theoretical Distribution (μ)** and **Number of successes of event A (r).**

The formula for Poisson probability distribution:

P(x = r) = ^{e-μ(μr)} ⁄ _{r!}

Where;

P(x = r) = Poisson Probability Distribution

r = Number of Successes of Event A

μ = Mean of the Theoretical Distribution

Let’s solve an example;

Find the poisson probability distribution when the mean of the theoretical distribution is 12 and the number of successes of event A is 6.

This implies that;

r = Number of Successes of Event A = 6

μ = Mean of the Theoretical Distribution = 12

P(x = r) = ^{e-μ(μr)} ⁄ _{r!}

P(x = r) = ^{e-12(12)6} ⁄ _{6!}

P(x = r) = ^{(0.00000614)(2985984)} ⁄ _{(720)}

P(x = r) = 0.025

Therefore, the **Poisson probability distribution **is **0.025.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the poisson probability distribution.

To get the answer and workings of the poisson probability distribution 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

**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 **Poisson Probability Distribution**** **under **Probability**

The screenshot below displays the page or activity to enter your values, to get the answer for the poisson probability distribution according to the respective parameters which are the **Mean of the Theoretical Distribution (μ) and Number of successes of event A (r).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Mean of the Theoretical Distribution (μ)** is **12**** and Number of successes of event A (r)** is **6.**

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the poisson probability distribution and presents the formula, workings and steps too.

The image above represents general binomial distribution.

To compute for general binomial distribution, four essential parameters are needed and these parameters are **n, r, q **and **q.**

The formula for calculating general binomial distribution:

P(r successes) = ^{n!}⁄_{(n – r)!r!}q^{(n – r)}p^{r}

Where;

P(r successes) = General Binomial Distribution

p = P(A)

q = P(not A)

Let’s solve an example;

Find the general binomial distribution when n is 8, r is 6, p is 1 and q is 0.

This implies that;

n = 8

r = 6

p = 1

q = 0

P(r successes) = ^{n!} ⁄ _{(n – r)!r!}q^{(n – r)}p^{r}

P(6 successes) = ^{8!} ⁄ _{(8 – 6)!6!}(0)^{(8 – 6)}(1)^{6}

P(6 successes) = ^{8!} ⁄ _{2!6!}(0)^{2}(1)^{6}

P(6 successes) = ^{40320} ⁄ _{(2)(720)}(0)^{2}(1)^{6}

P(6 successes) = ^{40320} ⁄ _{1440}(0)^{2}(1)^{6}

P(6 successes) = (28)(0)^{2}(1)^{6}

P(6 successes) = (28)(0)(1)

P(6 successes) = 0

Therefore, the **general binomial distribution **is **0.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the general binomial distribution.

To get the answer and workings of the general binomial distribution 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

**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 **General Binomial Distribution**** **under **Probability**

The screenshot below displays the page or activity to enter your values, to get the answer for the general binomial distribution according to the respective parameters which are the **n, r, p **and **q.**

Now, enter the values appropriately and accordingly for the parameters as required by the **n** is **8**,** r** is **6**,** p **is **1 **and **q** is **0**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the general binomial distribution and presents the formula, workings and steps too.

The image above represents dependent events.

To compute for dependent events, four essential parameters are needed and these parameters are **Number of Times Event A can occur** **(****x _{A}), Number of Times Event B can occur (x_{B}**

The formula for calculating independent events:

P(A and B) = P(A) x P(B|A)

Where;

P(A and B) = Dependent events

^{xA} = Number of Times Event A can occur

^{xB} = Number of Times Event B can occur

N = Total Number of All Possible Outcomes

P(A) = ^{xA} ⁄ _{N}

P(B|A) = ^{xB} ⁄ _{(N – 1)}

Let’s solve an example;

Find the dependent events when the number of times event A can occur is 8, number of times event B can occur is 11 and the total number of all possible outcomes is 18.

This implies that;

^{xA} = Number of Times Event A can occur = 8

^{xB} = Number of Times Event B can occur = 11

N = Total Number of All Possible Outcomes = 18

P(A and B) = P(A) x P(B|A)

P(A and B) = ^{xA} ⁄ _{N} x ^{xB} ⁄ _{(N – 1)}

P(A and B) = ^{8} ⁄ _{18} x ^{11} ⁄ _{17}

P(A and B) = ^{(8)(11)} ⁄ _{(18)(17)}

P(A and B) = ^{88} ⁄ _{306}

Dividing the numerator and denominator by **2**

P(A and B) = ^{44} ⁄ _{153}

P(A and B) = 0.287

Therefore, the **d****ependent events **is **0.287.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the dependent events.

To get the answer and workings of the dependent events 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

**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 **Dependent Events **under **Probability**

The screenshot below displays the page or activity to enter your values, to get the answer for the dependent events according to the respective parameters which are the **Number of Times Event A can occur** **(****x _{A}), Number of Times Event B can occur (x_{B}**

Now, enter the values appropriately and accordingly for the parameters as required by the **Number of Times Event A can occur(x _{A})** is

Finally, Click on Calculate

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

The image above represents independent events.

To compute for independent events, four essential parameters are needed and these parameters are **Number of Times Event A can occur** **(****x _{A}), Number of Times Event B can occur (x_{B}**

The formula for calculating independent events:

P(A and B) = P(A) x P(B)

Where;

P(A and B) = Independent events

^{xA} = Number of Times Event A can occur

^{xB} = Number of Times Event B can occur

N = Total Number of All Possible Outcomes

P(A) = ^{xA} ⁄ _{N}

P(B) = ^{xB} ⁄ _{N}

Let’s solve an example;

Find the independent events when the number of times event A can occur is 11, number of times event B can occur is 15 and the total number of all possible outcomes is 22.

This implies that;

^{xA} = Number of Times Event A can occur = 11

^{xB} = Number of Times Event B can occur = 15

N = Total Number of All Possible Outcomes = 22

P(A and B) = P(A) x P(B)

P(A and B) = ^{xA} ⁄ _{N} x ^{xB} ⁄ _{N
}P(A and B) = ^{11} ⁄ _{22} x ^{15} ⁄ _{22
}P(A and B) = ^{(11)(15)} ⁄ _{(22)(22)
}P(A and B) = ^{165} ⁄ _{484
}Dividing the numerator and denominator by **11
**P(A and B) =

Therefore, the **independent events **is **0.3409.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the independent events.

To get the answer and workings of the independent events 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

**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 **Independent Events **under **Probability**

The screenshot below displays the page or activity to enter your values, to get the answer for the independent events according to the respective parameters which are the **Number of Times Event A can occur** **(****x _{A}), Number of Times Event B can occur (x_{B}**

Now, enter the values appropriately and accordingly for the parameters as required by the **Number of Times Event A can occur(x _{A})** is

Finally, Click on Calculate

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

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

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} ⁄ _{NA}

P(B) = ^{xB} ⁄ _{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))

P(A or B) = ^{xA} ⁄ _{NA} + ^{xB} ⁄ _{NB} – (^{xA} ⁄ _{NA} 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** – https://www.nickzom.org/calculator-plus

**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

Now, enter the values appropriately and accordingly for the parameters as required by the **x _{A}** is

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.

The image above represents mutually exclusive.

To compute for mutually exclusive, four essential parameters are needed and these are **x _{A}, N_{A}, x_{B}** and

The formula for calculating mutually exclusive:

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

Where;

P(A or B) = Mutually Exclusive

P(A) = ^{xA} ⁄ _{NA}

P(B) = ^{xB} ⁄ _{NB}

Let’s solve an example;

Find the mutually exclusive when the x_{A} is 12, N_{A} is 14, x_{B} is 9 and N_{B} is 17.

This implies that;

x_{A} = 12

N_{A} = 14

x_{B} = 9

N_{B} = 17

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

P(A or B) = ^{xA} ⁄ _{NA} + ^{xB} ⁄ _{NB}

P(A or B) = ^{12} ⁄ _{14} + ^{9} ⁄ _{17}

P(A or B) = ^{12(17) + 9(14)} ⁄ _{(14)(17)}

P(A or B) = ^{204 + 126} ⁄ _{238}

P(A or B) = ^{330} ⁄ _{238}

Dividing the numerator and denominator by **2**

P(A or B) = ^{165} ⁄ _{119}

P(A or B) = 1.386

Therefore, the **mutually exclusive **is **1.386.**

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

**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 **x _{A}, N_{A}, x_{B}** and

Now, enter the values appropriately and accordingly for the parameters as required by the **x _{A}** is

Finally, Click on Calculate

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.

The image above represents impossibility.

To compute for impossibility, one essential parameter is needed and this parameter is **Total Number of All Possible Outcomes (N).**

The formula for calculating impossibility:

**P(A)** = ^{x }⁄ _{N}

Where;

P(A) = Imposssibility

N = Total Number of All Possible Outcomes

Let’s solve an example;

Find the impossibility when the total number of all possible outcomes is 12.

This implies that;

N = Total Number of All Possible Outcomes = 12

**P(A)** = ^{x }⁄ _{N}

P(A) = ^{0 }⁄ _{12}

P(A) = 0

Therefore, **P(impossibility) **is **0.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the impossibility.

To get the answer and workings of the impossibility 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

**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 **Impossibility **under **Probability**

The screenshot below displays the page or activity to enter your value, to get the answer for the impossibility according to the respective parameter which is the **Total Number of All Possible Outcomes (N).**

Now, enter the value appropriately and accordingly for the parameter as required by the **Total Number of All Possible Outcomes (N) **is **12.**

Finally, Click on Calculate

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