To compare Sadiq's experimental probability to the theoretical probability of rolling an even number on a six-sided die, we first determine each probability.
Theoretical Probability: On a six-sided die (with faces numbered 1 through 6), the even numbers are 2, 4, and 6. Thus, there are 3 favorable outcomes for rolling an even number. The theoretical probability of rolling an even number is calculated as follows:
\[ \text{Theoretical Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}} = \frac{3}{6} = \frac{1}{2} = 0.5 \]
Experimental Probability: Sadiq rolled the die 10 times and got an even number 7 times. The experimental probability can be computed as follows:
\[ \text{Experimental Probability} = \frac{\text{Number of times an even number was rolled}}{\text{Total number of rolls}} = \frac{7}{10} = 0.7 \]
Comparison: Now we compare the experimental probability (0.7) with the theoretical probability (0.5):
- Experimental Probability: 0.7
- Theoretical Probability: 0.5
Since 0.7 (experimental) is greater than 0.5 (theoretical), the correct response is:
The experimental probability was greater than the theoretical probability.