# Understanding Binomial And Geometric Distributions Worksheet

## What is a Binomial Distribution?

A binomial distribution is a probability distribution that describes the number of successes in a given number of trials. The binomial distribution is based on a simple yes or no question – “Will a certain event occur in a single trial?” If the answer is yes, then the trial is considered a success. If the answer is no, then the trial is considered a failure. The binomial distribution is used to calculate the probability of a certain number of successes in a given number of trials.

## What is a Geometric Distribution?

A geometric distribution is a probability distribution that describes the number of successes in a series of trials. The geometric distribution is based on the number of trials needed to achieve a success. The geometric distribution is used to calculate the probability of achieving a certain number of successes in a series of trials.

## How to Use a Binomial And Geometric Distributions Worksheet

A binomial and geometric distributions worksheet can be used to calculate the probability of a certain number of successes in a given number of trials. The worksheet is based on a simple yes or no question – “Will a certain event occur in a single trial?” If the answer is yes, then the trial is considered a success. If the answer is no, then the trial is considered a failure.

### Step 1: Identify the Number of Trials

The first step in using a binomial and geometric distributions worksheet is to identify the number of trials. This is the number of times the experiment will be repeated in order to obtain a success. For example, if you are trying to calculate the probability of achieving a success in three trials, then the number of trials is three.

### Step 2: Calculate the Probability of Success

The next step in using a binomial and geometric distributions worksheet is to calculate the probability of success. This is done by dividing the number of successes by the total number of trials. For example, if the number of successes is two and the total number of trials is three, then the probability of success is two divided by three.

### Step 3: Calculate the Probability of Failure

The final step in using a binomial and geometric distributions worksheet is to calculate the probability of failure. This is done by subtracting the probability of success from one. For example, if the probability of success is two-thirds, then the probability of failure is one minus two-thirds, which is one-third.