To compare the experimental probability of rolling a 1 to the theoretical probability, we need to calculate the experimental probability first.
The experimental probability of rolling a 1 is calculated as follows:
\[ \text{Experimental Probability of rolling a 1} = \frac{\text{Number of times 1 was rolled}}{\text{Total number of rolls}} = \frac{8}{60} \]
Now, we can simplify \( \frac{8}{60} \):
\[ \frac{8}{60} = \frac{2}{15} \approx 0.1333 \]
Next, we find the theoretical probability of rolling a 1 with a fair six-sided die. The theoretical probability is:
\[ \text{Theoretical Probability of rolling a 1} = \frac{1}{6} \approx 0.1667 \]
Now we can compare the two probabilities:
- Experimental Probability of rolling a 1 = \( \frac{2}{15} \approx 0.1333 \)
- Theoretical Probability of rolling a 1 = \( \frac{1}{6} \approx 0.1667 \)
Since \( 0.1333 < 0.1667 \), we can conclude that:
The experimental probability (8/60) is less than the theoretical probability (1/6).