Decide which method (theoretical or relative frequency) is appropriate, and compute or estimate the probability of the following event.

Randomly selecting a yellow tie from a drawer that holds nine blue ties, three red ties, and eleven yellow ties

Decide which method (theoretical or relative frequency) is appropriate. Choose the correct answer below.
A. The theoretical method should be used because all outcomes are not equally likely.
B. The relative frequency method should be used because there is data from many observations
C. The relative frequency method should be used because there is no data from observations.
D. The theoretical method should be used because all outcomes are equally likely.

Step 1 ：Decide which method (theoretical or relative frequency) is appropriate for the following event: Randomly selecting a yellow tie from a drawer that holds nine blue ties, three red ties, and eleven yellow ties.

Step 2 ：The theoretical method should be used in this case. This is because we know the total number of outcomes (the total number of ties) and the number of successful outcomes (the number of yellow ties).

Step 3 ：All outcomes are equally likely because each tie has an equal chance of being selected. Therefore, the correct answer is 'The theoretical method should be used because all outcomes are equally likely.'

Step 4 ：Calculate the probability of selecting a yellow tie by dividing the number of successful outcomes (yellow ties) by the total number of outcomes (total ties).

Step 5 ：The total number of ties is 23 and the number of yellow ties is 11.

Step 6 ：The probability of selecting a yellow tie is \( \frac{11}{23} \approx 0.478 \)

Step 7 ：Final Answer: The correct answer is 'The theoretical method should be used because all outcomes are equally likely.' The probability of selecting a yellow tie is approximately \(\boxed{0.478}\).