A jar contained 18 red marbles, 14 green marbles, and 20 blue marbles. A marble was selected at random, the color was recorded, and the marble was placed back in the jar. The table shows the results after 60 trials.

Question

What was the relative frequency of selecting a blue marble?

Enter your answer rounded to the nearest percent in the box.

%

Outcome Number of times outcome occurred
Red 22
Green 18
Blue 20

Answer 1

To find the relative frequency of selecting a blue marble, you can use the following formula:

\[ \text{Relative frequency} = \frac{\text{Number of times outcome occurred}}{\text{Total number of trials}} \]

From the table, we see that the number of times a blue marble was selected is 20. The total number of trials is 60.

Now, plug in the values:

\[ \text{Relative frequency of blue} = \frac{20}{60} \]

Calculating this gives:

\[ \text{Relative frequency of blue} = \frac{1}{3} \approx 0.3333 \]

To express this as a percentage, multiply by 100:

\[ 0.3333 \times 100 \approx 33.33% \]

Rounding to the nearest percent, the relative frequency of selecting a blue marble is:

\[ \boxed{33%} \]