To determine the probability that at least one of the next five birds Cory sees is a dark-eyed junco, we need to follow these steps:
1. Identify the digits representing dark-eyed juncos: According to the given information, the digits 3 and 4 represent dark-eyed juncos.
2. Count the total occurrences of dark-eyed juncos in the simulation results: We need to scan through the entire set of simulation results and count how many times the digits 3 and 4 appear.
The simulation results are:
```
05716, 16803, 96568, 32177, 33855,
76635, 92290, 88864, 72794, 14333,
79019, 05943, 77510, 74051, 87238,
97895, 86481, 94036, 12749, 24005
```
After counting, we find that the digits 3 and 4 appear a total of 0 times.
3. Calculate the total number of birds observed: The simulation results are presented in blocks of 5 digits, each representing a bird. We can count the number of blocks and multiply by 5 (since each block represents 5 birds).
There are 20 blocks with each block consisting of 5 digits. Therefore, the total number of birds observed is:
[tex]\[
20 \times 5 = 100
\][/tex]
4. Determine the probability of seeing at least one dark-eyed junco: This is given by the ratio of the number of dark-eyed juncos observed to the total number of birds observed.
Since the number of observed dark-eyed juncos is 0 and the total number of birds is 100, the probability is:
[tex]\[
\frac{0}{100} = 0.0
\][/tex]
Based on the above calculations, the probability that at least one of the next five birds Cory sees is a dark-eyed junco is:
[tex]\[
\boxed{0.0}
\][/tex]
