To determine the probability that Taylor pulls out a white shell, follow these steps:
1. Determine the total number of shells:
Taylor collected 4 white shells and 9 grey shells.
Therefore, the total number of shells is:
[tex]\[
\text{Total shells} = 4 \text{ white shells} + 9 \text{ grey shells} = 13 \text{ shells}
\][/tex]
2. Determine the probability of drawing a white shell:
The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes. Here, the favorable outcome is drawing a white shell.
Thus, the probability [tex]\(P(\text{white shell})\)[/tex] is given by:
[tex]\[
P(\text{white shell}) = \frac{\text{Number of white shells}}{\text{Total number of shells}} = \frac{4}{13}
\][/tex]
Through these calculations, we determine that the probability of pulling out a white shell is:
[tex]\[
\boxed{\frac{4}{13}}
\][/tex]
Therefore, the correct answer is:
C. [tex]\(\frac{4}{13}\)[/tex]
