A number cube was rolled as part of an experiment. The results are displayed in the table below.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Number & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
Frequency & 4 & 6 & 5 & 7 & 3 & 5 \\
\hline
\end{tabular}

What is the best explanation of how to find the experimental probability of rolling a 3?

A. To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.

B. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary.

C. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary.

D. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.

Question

11-08-2024
Mathematics

Answered

A number cube was rolled as part of an experiment. The results are displayed in the table below.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Number & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
Frequency & 4 & 6 & 5 & 7 & 3 & 5 \\
\hline
\end{tabular}

What is the best explanation of how to find the experimental probability of rolling a 3?

A. To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.

B. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary.

C. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary.

D. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-08-11T19:12:15-04:00

To find the experimental probability of rolling a 3, you should write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.

Let's go through the steps in detail:

1. Identify the frequency of rolling a 3: According to the table, the frequency of rolling a 3 is 5.

2. Calculate the total number of trials: Add up the frequencies of rolling each number.
[tex]\[ 4 (for\ 1) + 6 (for\ 2) + 5 (for\ 3) + 7 (for\ 4) + 3 (for\ 5) + 5 (for\ 6) = 30 \][/tex]

3. Write the ratio: The experimental probability of rolling a 3 is the ratio of the frequency of rolling a 3 to the total number of trials.
[tex]\[ \frac{frequency\ of\ 3}{total\ number\ of\ trials} = \frac{5}{30} \][/tex]

4. Simplify the ratio: Simplify if necessary.
[tex]\[ \frac{5}{30} = \frac{1}{6} \approx 0.16666666666666666 \][/tex]

Therefore, the correct explanation is: "To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary."