Question

use the interactive spinner to simulate who among elisondra and her three friends will order first at 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(\text{sarah}) = \frac{\text{observed frequency}}{\text{number of trials}} = square ). a table has columns “result”, “elisondra”, “dyna”, “sarah”, “raquel”, “total” with “count” row showing 0s. a spinner (pie chart) has sections labeled sarah, raquel, dyna, elisondra.

Explanation:

Answer:

To find the experimental probability of Sarah ordering first, we use the formula for experimental probability: \( P(\text{Sarah})=\frac{\text{Observed frequency of Sarah ordering first}}{\text{Total number of trials}} \)

Step 1: Identify the number of trials and the observed frequency

The total number of trials (meals) is 40 (since Elisondra and her three friends order first 40 times). The theoretical probability of Sarah ordering first is 0.25. To find the observed frequency, we use the formula for probability: \( \text{Observed frequency}=\text{Probability}\times\text{Number of trials} \)

Substitute the values: \( \text{Observed frequency of Sarah}= 0.25\times40 \)

Step 2: Calculate the observed frequency

\( 0.25\times40 = 10 \)

Step 3: Calculate the experimental probability

Now, use the experimental probability formula: \( P(\text{Sarah})=\frac{\text{Observed frequency of Sarah}}{\text{Total number of trials}}=\frac{10}{40} = 0.25 \)

So the experimental probability of Sarah ordering first is \( 0.25 \) (or \( \frac{1}{4} \)).