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.

Question

What is the experimental probability of pulling a yellow marble from the bag?

Enter your answer as a fraction, like this: 42/53

Answer 1

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:

\[ \frac{1}{8} \]