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A spinner has 5 equal sections. After spinning the spinner 8 times, the following frequencies are recorded in the table shown.

\begin{tabular}{|c|c|c|}
\hline
Event & Frequency & Probability \\
\hline
Yellow & 0 & [tex]$1 / 5$[/tex] \\
\hline
Orange & 0 & [tex]$1 / 5$[/tex] \\
\hline
Red & 5 & [tex]$1 / 5$[/tex] \\
\hline
Violet & 1 & [tex]$1 / 5$[/tex] \\
\hline
Blue & 2 & [tex]$1 / 5$[/tex] \\
\hline
\end{tabular}

In the simplest form, what is the experimental probability that the spinner lands on yellow?

A) 0

B) [tex]$\frac{5}{8}$[/tex]


Sagot :

Sure, let's determine the experimental probability of the spinner landing on yellow based on the given frequencies and spins.

1. Identify the total number of spins: According to the table, the total number of spins is 8.

2. Identify the number of times the spinner lands on yellow: From the table, the frequency of landing on yellow is 0.

3. Calculate the experimental probability: The experimental probability is calculated as the number of times a specific event occurs (in this case, landing on yellow) divided by the total number of trials (spins).

So, the experimental probability of landing on yellow would be:
[tex]\[ \text{Experimental Probability of Yellow} = \frac{\text{Frequency of landing on Yellow}}{\text{Total number of spins}} = \frac{0}{8} \][/tex]

4. Simplify the fraction: \(\frac{0}{8} = 0\)

Therefore, the experimental probability that the spinner lands on yellow is \(0\).

The correct answer is:
A) 0
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