Question

which statements about experimental probability are true? experimental probability is written as a ratio. experimental probability includes the number of possible outcomes. experimental probability is found by conducting trials of an experiment. experimental probability includes the number of times an event occurs in the numerator, and the total number of trials in the denominator. experimental probability includes the number of times an event occurs in the denominator, and the total number of trials in the numerator.

Explanation:

To solve this, we analyze each statement about experimental probability:

1. "Experimental probability is written as a ratio."

Experimental probability is calculated as $\boldsymbol{\frac{\text{Number of times event occurs}}{\text{Total number of trials}}}$, which is a ratio. So this is true.

2. "Experimental probability includes the number of possible outcomes."

Experimental probability depends on actual trials (not "possible outcomes"—that’s theoretical probability). So this is false.

3. "Experimental probability is found by conducting trials of an experiment."

By definition, experimental probability requires performing experiments/trials to count event occurrences and total trials. So this is true.

4. "Experimental probability includes the number of times an event occurs in the numerator, and the total number of trials in the denominator."

The formula for experimental probability is $\boldsymbol{\frac{\text{Number of event occurrences}}{\text{Total number of trials}}}$. So this matches the formula—true.

5. "Experimental probability includes the number of times an event occurs in the denominator, and the total number of trials in the numerator."

This reverses the formula (numerator should be event occurrences, denominator total trials). So this is false.

Answer:

The true statements are:

• Experimental probability is written as a ratio.
• Experimental probability is found by conducting trials of an experiment.
• Experimental probability includes the number of times an event occurs in the numerator, and the total number of trials in the denominator.