A six-sided number cube is rolled 600 times. The results are 246 even numbers and 354 odd numbers.

Question

How does the relative frequency of rolling an odd number compare to the theoretical probability?

Select from the drop-down menus to correctly complete the statements.

The relative frequency of rolling an odd number is
greater than
the theoretical probability. The theoretical probability is
0.59
and the relative frequency is
Choose...
.

Answer 1

The theoretical probability of rolling an odd number on a six-sided die is calculated based on the fact that there are three odd numbers (1, 3, and 5) out of six possible outcomes. Therefore, the theoretical probability is:

\[ P(\text{odd}) = \frac{3}{6} = 0.5 \]

To find the relative frequency of rolling an odd number based on your results, you would take the number of times an odd number was rolled (354) and divide it by the total number of rolls (600):

\[ \text{Relative frequency} = \frac{354}{600} \approx 0.59 \]

Now, comparing the relative frequency with the theoretical probability:

The relative frequency of rolling an odd number is greater than the theoretical probability. The theoretical probability is 0.5 and the relative frequency is 0.59.