This tool helps you quickly calculate the probability of an event occurring based on given inputs.

## Chance Calculator Explanation

This chance calculator allows you to determine the probability of achieving a certain number of successes in a series of events. Here’s how to use it:

### How to Use:

- Enter the total number of possible outcomes in the
**Total Possible Outcomes**field. - Input the number of successful outcomes in the
**Successful Outcomes**field. - Specify how many times the event will occur in the
**Event Occurrences**field. - Enter the number of successes you would like to achieve in the
**Desired Successes**field. - Click
**Calculate**to see the result in the**Result**field.

### How It Calculates the Results:

The calculator determines the probability using the binomial probability formula which is:

P(X = k) = (n choose k) * (p^k) * ((1-p)^(n-k))

Where:

**X**= number of successes**n**= number of trials (Event Occurrences)**k**= number of desired successes**p**= probability of success in a single trial (Successful Outcomes / Total Possible Outcomes)

### Limitations:

This calculator assumes each event is independent and the probability of success remains constant across all events. It is intended for probability calculations where these conditions are met.