Question

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.

Event
Count
Blue
7
Red
8
Green
5

What was the experimental probability of choosing a blue marble from a bag?
StartFraction 7 over 20 EndFraction
StartFraction 7 over 13 EndFraction
StartFraction 7 over 12 EndFraction
StartFraction 7 over 8 EndFraction

Answers

GPT-4o mini
To find the experimental probability of choosing a blue marble, you can use the following formula:

\[
\text{Experimental Probability} = \frac{\text{Number of times the event occurred}}{\text{Total number of trials}}
\]

In Marnie's experiment, she chose a blue marble 7 times out of a total of 20 trials. Therefore, the experimental probability of choosing a blue marble is:

\[
\text{Probability of Blue} = \frac{7}{20}
\]

Among the given answer choices, the correct answer is:

\(\frac{7}{20}\).

(Note: This option isn't listed in your provided choices, but it is the calculation of experimental probability based on the data.)