Question

a spinner is divided into three sections: red, yellow, and blue. a student spins the spinner multiple times and records the color the spinner lands on each time. the table below shows the frequency of the colors the spinner lands on. \

$$\begin{tabular}{|c|c|c|c|} \\hline color & red & yellow & blue \\\\ \\hline frequency & 10 & 14 & 6 \\\\ \\hline \\end{tabular}$$

use the drop-down menus to complete each statement. the spinner was spun a total of \\( \boldsymbol{\square} \\) times. based on the results of the experiment, if the student spins the spinner once more, it is \\( \boldsymbol{\square} \\) to land on yellow.

Explanation:

Step1: Calculate total spins

To find the total number of times the spinner was spun, we add the frequencies of each color. The frequencies are 10 (red), 14 (yellow), and 6 (blue). So we calculate \(10 + 14 + 6\).
\(10 + 14 + 6 = 30\)

Step2: Analyze probability of yellow

The frequency of yellow is 14, which is higher than the frequencies of red (10) and blue (6). So when spinning once more, it is more likely to land on yellow because it had the highest frequency in the experiment.

Answer:

The spinner was spun a total of 30 times. If the student spins the spinner once more, it is most likely to land on yellow.