Question
Melina performs an experiment in which she pulls a marble out of a bag, records its color, puts it back, and repeats. After completing 24 trials, she pulled a yellow marble 3 times.
What is the experimental probability of pulling a yellow marble from the bag?
Enter your answer as a fraction, like this: 42/53
What is the experimental probability of pulling a yellow marble from the bag?
Enter your answer as a fraction, like this: 42/53
Answers
GPT-4o mini
The experimental probability of an event is calculated by dividing the number of times the event occurs by the total number of trials conducted.
In Melina's experiment:
- The number of times she pulled a yellow marble = 3
- The total number of trials = 24
Thus, the experimental probability \( P \) of pulling a yellow marble is calculated as follows:
\[
P(\text{yellow}) = \frac{\text{Number of yellow marbles pulled}}{\text{Total number of trials}} = \frac{3}{24}
\]
Now, we can simplify the fraction \( \frac{3}{24} \):
\[
\frac{3}{24} = \frac{1}{8}
\]
Therefore, the experimental probability of pulling a yellow marble from the bag is:
\[
\frac{1}{8}
\]
In Melina's experiment:
- The number of times she pulled a yellow marble = 3
- The total number of trials = 24
Thus, the experimental probability \( P \) of pulling a yellow marble is calculated as follows:
\[
P(\text{yellow}) = \frac{\text{Number of yellow marbles pulled}}{\text{Total number of trials}} = \frac{3}{24}
\]
Now, we can simplify the fraction \( \frac{3}{24} \):
\[
\frac{3}{24} = \frac{1}{8}
\]
Therefore, the experimental probability of pulling a yellow marble from the bag is:
\[
\frac{1}{8}
\]