Question

during samuels experiment, the experimental probability was 0.25. what else must be true about the experiment? the experimental probability of the outcome is $\frac{1}{4}$. the experiment has four possible outcomes. the theoretical probability of the outcome is $\frac{1}{4}$. four trials were run during the experiment.

Explanation:

Step1: Convert decimal to fraction

We know that $0.25=\frac{25}{100}=\frac{1}{4}$.

Step2: Analyze each option

• Option 1: Since $0.25 = \frac{1}{4}$, the experimental - probability of the outcome being $\frac{1}{4}$ is correct.
• Option 2: Just because the experimental probability of one outcome is $\frac{1}{4}$, we cannot say that the experiment has four possible outcomes. There could be many outcomes and this particular one has an experimental probability of $\frac{1}{4}$.
• Option 3: The experimental probability and theoretical probability are not necessarily the same. Just because the experimental probability is $\frac{1}{4}$ does not mean the theoretical probability is $\frac{1}{4}$.
• Option 4: The number of trials is not related to the experimental probability value in this way. Just because the experimental probability is $\frac{1}{4}$ does not mean four trials were run.

Answer:

The experimental probability of the outcome is $\frac{1}{4}$.