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)

Question

Responses

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.

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

The experimental probability was greater than the theoretical probability.

Answer 1

To compare Sadiq's experimental probability to the theoretical probability, we first need to determine both probabilities.

1. Theoretical Probability: A regular six-sided number cube (die) has three even numbers: 2, 4, and 6. The probability of rolling an even number is: \[ P(\text{even}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{6} = \frac{1}{2} \]

2. Experimental Probability: Sadiq rolled the die 10 times and got an even number 7 times. Therefore, the experimental probability of rolling an even number is: \[ P(\text{even, experimental}) = \frac{\text{Number of times even number was rolled}}{\text{Total rolls}} = \frac{7}{10} = 0.7 \]

Now, let's compare:

• Theoretical probability = 0.5 (or \(\frac{1}{2}\))
• 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.