To compare Sadiq's experimental probability to the theoretical probability, we first need to calculate both.
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Theoretical Probability: A regular six-sided number cube (die) has 6 faces, and the even numbers on the die are 2, 4, and 6. Therefore, there are 3 even numbers out of 6 possible outcomes.
The theoretical probability of rolling an even number is: \[ P(\text{Even}) = \frac{\text{Number of even outcomes}}{\text{Total number of outcomes}} = \frac{3}{6} = \frac{1}{2} = 0.5 \]
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Experimental Probability: Sadiq rolled the die 10 times and got an even number 7 times. So, his experimental probability of rolling an even number is: \[ P(\text{Even, experimental}) = \frac{7}{10} = 0.7 \]
Now we compare the two probabilities:
- The theoretical probability of rolling an even number is 0.5.
- The experimental probability of rolling an even number is 0.7.
Since 0.7 (experimental) is greater than 0.5 (theoretical), we conclude that:
The experimental probability was greater than the theoretical probability.