To compare the experimental probability to the theoretical probability, we first need to determine the theoretical probability of rolling an even number on a six-sided number cube.
The even numbers on a six-sided die are 2, 4, and 6. This gives us 3 even numbers out of a total of 6 possible outcomes:
\[ \text{Theoretical probability of rolling an even number} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{3}{6} = \frac{1}{2} = 0.5. \]
Now, Sadiq rolls the die 10 times and gets an even number 7 times. To find the experimental probability, we use the formula:
\[ \text{Experimental probability} = \frac{\text{Number of times the event occurs}}{\text{Total trials}} = \frac{7}{10} = 0.7. \]
Now we compare the two probabilities:
- Theoretical probability: 0.5
- Experimental probability: 0.7
Since 0.7 (experimental probability) is greater than 0.5 (theoretical probability), the correct response is:
The experimental probability was greater than the theoretical probability.
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