To compare the experimental probability to the theoretical probability, we first need to calculate each one.
Theoretical Probability: For a regular six-sided number cube (die), the even numbers are 2, 4, and 6. There are 3 even numbers out of 6 possible outcomes, so the theoretical probability of rolling an even number is:
\[ P(\text{even}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{3}{6} = \frac{1}{2} = 0.5 \]
Experimental Probability: Sadiq rolled the die 10 times and got an even number 7 times, so the experimental probability of rolling an even number is:
\[ P(\text{even}) = \frac{\text{Number of even outcomes}}{\text{Total rolls}} = \frac{7}{10} = 0.7 \]
Comparison: Now, we can compare the experimental probability (0.7) to the theoretical probability (0.5):
- The experimental probability (0.7) is greater than the theoretical probability (0.5).
Therefore, the correct response is:
The experimental probability was greater than the theoretical probability.