Question

Sadiq rolls a regular six-sided number cube 10 times and gets an even number 7 times. How does his experimental probability compare to the theoretical probability?(1 point)
Responses

The theoretical and experimental probabilities are opposites.
The theoretical and experimental probabilities are opposites.

The experimental probability was greater than the theoretical probability.
The experimental probability was greater than the theoretical probability.

The theoretical probability is greater than the experimental probability.
The theoretical probability is greater than the experimental probability.

The experimental and theoretical probability are equal.
The experimental and theoretical probability are equal.

Answer 1

To determine how Sadiq's experimental probability compares to the theoretical probability of rolling an even number on a six-sided die, we first need to calculate both probabilities.

1. **Theoretical Probability**:
- A six-sided die has the numbers 1, 2, 3, 4, 5, and 6.
- The even numbers on a six-sided die are 2, 4, and 6 (3 even numbers).
- Therefore, the theoretical probability of rolling an even number is:
\[
\text{Theoretical Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{3}{6} = \frac{1}{2} = 0.5
\]

2. **Experimental Probability**:
- Sadiq rolled the die 10 times and got an even number 7 times.
- Thus, the experimental probability is:
\[
\text{Experimental Probability} = \frac{7}{10} = 0.7
\]

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.**

So, the correct choice is:
- The experimental probability was greater than the theoretical probability.