Marnie conducted an experiment using a bag of 12 marbles containing an equal number of blue, red, and green marbles. She randomly chose one marble, noted the color, and returned the marble to the bag. Marnie did this for a total of 20 trials. The table below shows the results.

\begin{tabular}{|c|c|}
\hline
Event & Count \\
\hline
Blue & 7 \\
\hline
Red & 8 \\
\hline
Green & 5 \\
\hline
\end{tabular}

What was the experimental probability of choosing a blue marble from the bag?

A. [tex]$\frac{7}{20}$[/tex]

B. [tex]$\frac{7}{13}$[/tex]

C. [tex]$\frac{7}{12}$[/tex]



Answer :

To determine the experimental probability of choosing a blue marble from Marnie's experiment, we follow these steps:

1. Identify the total number of trials: According to the table, Marnie conducted 20 trials in total.

2. Identify the number of successful events: The table indicates that Marnie chose a blue marble 7 times.

3. Calculate the experimental probability:
- The formula for experimental probability is given by the number of successful events divided by the total number of trials.
- Here, the number of successful events (blue marbles chosen) is 7, and the total number of trials is 20.

[tex]\[ \text{Experimental Probability} = \frac{\text{Number of Successful Events}}{\text{Total Number of Trials}} = \frac{7}{20} \][/tex]

So, the experimental probability of choosing a blue marble from the bag is:

[tex]\[ \frac{7}{20} \][/tex]

Therefore, the correct answer is [tex]\(\frac{7}{20}\)[/tex].