Question

use the interactive spinner to simulate who among elisondra and her three friends will order first during restaurant visits.
if the theoretical probability of sarah ordering first is 0.25,
what is the experimental probability of sarah ordering first?
experimental probability:
p(sarah) = \frac{observed frequency}{number of trails} =

Explanation:

Step1: Understand the formula for experimental probability

The formula for experimental probability is \(P(\text{Sarah})=\frac{\text{Observed frequency}}{\text{Number of trials}}\).

Step2: Analyze the spinner

Assume we have \(n\) trials. If the theoretical probability of Sarah is \(0.25\) (since the spinner is divided into 4 equal - parts, each part has a probability of \(\frac{1}{4}=0.25\)). But for experimental probability, we need to consider the observed data. However, since the count for all is \(0\) (initial state), we assume after a certain number of trials. Let's say we have \(N\) trials. If we spin the spinner a large number of times, and assume the spinner is fair (theoretical probability is based on equal - area division). But if we consider the formula structure and the given options, and the fact that the spinner is divided into 4 equal sections (so each person has an equal chance).

Answer:

\(0.25\)