How do you determine the relative frequency of an event happening 12 times out of 48 trials?

To determine the relative frequency, divide the number of times the event occurs by the total number of trials.

Relative frequency is a way to show how often an event happens compared to the total number of trials. In this case, the event happens 12 times out of 48 trials. To find the relative frequency, you use the formula:

\[ \text{Relative Frequency} = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}} \]

So, you would calculate:

\[ \text{Relative Frequency} = \frac{12}{48} \]

When you divide 12 by 48, you get 0.25. This means the relative frequency of the event happening is 0.25.

Relative frequency can also be expressed as a percentage. To convert 0.25 to a percentage, you multiply by 100:

\[ 0.25 \times 100 = 25\% \]

Therefore, the event happens 25% of the time. This method helps you understand the likelihood of an event occurring based on past data, which is useful in probability and statistics.