The image above represents general binomial distribution. Four essential parameters are needed to calculate general binomial distribution: 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}

So, 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}

Then, 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.**

Read more: How to Calculate and Solve for Expectation | Probability

**How to Calculate General Binomial Distribution Probability Using Nickzom Calculator**

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:

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**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 **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.