To determine the proportion of purple marbles drawn in Marcie's experiment, follow these steps:
1. Count the number of times each color was drawn:
- Red: 5 times
- Blue: 6 times
- Green: 4 times
- Purple: 1 time
- Yellow: 4 times
2. Find the total number of draws:
Add the number of times each color was drawn to get the total:
[tex]\[
5 (\text{red}) + 6 (\text{blue}) + 4 (\text{green}) + 1 (\text{purple}) + 4 (\text{yellow}) = 20 \text{ draws}
\][/tex]
3. Calculate the proportion of purple marbles:
- The number of times purple marble was drawn = 1
- Total number of draws = 20
The proportion of purple marbles is calculated as follows:
[tex]\[
\frac{\text{Number of times purple was drawn}}{\text{Total number of draws}} \times 100 = \frac{1}{20} \times 100 = 5\%
\][/tex]
Therefore, the proportion of the marbles in the bag that Marcie would expect to be purple is:
[tex]\[
\boxed{5\%}
\][/tex]
So the correct answer is:
D. [tex]$5\%$[/tex]
