How do you calculate the relative frequency of drawing a king 4 times out of 52 trials?

To calculate the relative frequency, divide the number of successful trials by the total number of trials.

Relative frequency is a way to estimate the probability of an event based on experimental data. In this case, you want to find the relative frequency of drawing a king 4 times out of 52 trials. First, identify the number of successful trials, which is 4 (the number of times a king was drawn). Next, identify the total number of trials, which is 52 (the total number of times you drew a card).

The formula for relative frequency is:

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

Substitute the given values into the formula:

\[ \text{Relative Frequency} = \frac{4}{52} \]

To simplify this fraction, divide both the numerator and the denominator by their greatest common divisor, which is 4:

\[ \text{Relative Frequency} = \frac{4 \div 4}{52 \div 4} = \frac{1}{13} \]

So, the relative frequency of drawing a king 4 times out of 52 trials is \( \frac{1}{13} \). This means that, based on your experimental data, you can expect to draw a king approximately once in every 13 trials. This method helps you understand how often an event occurs in practice, which can be useful for making predictions in similar future experiments.