To find the proportion of purple marbles based on Marcie's experiment, follow these steps:
1. Calculate the total number of marbles drawn:
- Red marbles: 5
- Blue marbles: 6
- Green marbles: 4
- Purple marbles: 1
- Yellow marbles: 4
Total marbles = 5 (red) + 6 (blue) + 4 (green) + 1 (purple) + 4 (yellow) = 20 marbles
2. Determine the number of purple marbles drawn:
There is 1 purple marble drawn.
3. Calculate the proportion of purple marbles:
[tex]\[
\text{Proportion of purple marbles} = \frac{\text{Number of purple marbles}}{\text{Total number of marbles}} = \frac{1}{20}
\][/tex]
4. Convert the proportion to a percentage:
[tex]\[
\text{Percentage of purple marbles} = \left(\frac{1}{20}\right) \times 100\% = 5\%
\][/tex]
Thus, the proportion of the marbles in the bag that Marcie would expect to be purple is [tex]\(5\%\)[/tex].
The correct answer is:
D. [tex]\(5\%\)[/tex]
