What is the formula to determine relative frequency in an experiment?

Relative frequency is calculated by dividing the frequency of an event by the total number of trials.

In more detail, relative frequency helps us understand how often an event occurs in comparison to the total number of trials or observations. To find the relative frequency, you first need to count how many times the event of interest happens. This count is known as the frequency. Next, you need to know the total number of trials or observations in your experiment.

The formula for relative frequency is:

\[ \text{Relative Frequency} = \frac{\text{Frequency of the Event}}{\text{Total Number of Trials}} \]

For example, if you are rolling a die and you want to find the relative frequency of rolling a 4, you would count how many times you roll a 4 (let's say 15 times) and then divide that by the total number of rolls (let's say 100 rolls). So, the relative frequency would be:

\[ \text{Relative Frequency} = \frac{15}{100} = 0.15 \]

This means that the relative frequency of rolling a 4 is 0.15, or 15%. Relative frequency is useful because it gives you a proportion that can be compared across different experiments or situations, regardless of the total number of trials. It helps in making predictions and understanding the likelihood of events in a practical, real-world context.