What is the relative frequency of rolling an even number 30 times out of 60 rolls?

The relative frequency of rolling an even number 30 times out of 60 rolls is 0.5 or 50%.

Relative frequency is a way of expressing how often an event occurs compared to the total number of trials. In this case, you rolled an even number 30 times out of 60 rolls. To find the relative frequency, you divide the number of successful outcomes (rolling an even number) by the total number of trials (total rolls). So, you calculate it as 30 divided by 60, which equals 0.5.

To express this as a percentage, you multiply the relative frequency by 100. Therefore, 0.5 multiplied by 100 equals 50%. This means that, based on your experiment, an even number was rolled 50% of the time.

Understanding relative frequency helps you to analyse the likelihood of different outcomes in experiments or real-life situations. In this example, a fair six-sided die has three even numbers (2, 4, and 6) out of six possible outcomes. The theoretical probability of rolling an even number is 3 out of 6, or 0.5 (50%). Your experimental result matches this theoretical probability, suggesting that your die is fair and your experiment was conducted properly.