To determine the probability that at least one of the next five dogs seen is a German shepherd, we utilize the results from the simulation table provided.
From the table, we have the results of 20 simulations. Let's denote the total number of simulations as [tex]\( N_{\text{total}} \)[/tex].
From the question, we know the number of simulations where at least one German shepherd was seen. Let's denote this as [tex]\( N_{\text{GS}} \)[/tex].
Using the simulation, the step-by-step solution is as follows:
1. Identify the number of simulations where at least one German shepherd was seen:
[tex]\[ N_{\text{GS}} = 14 \][/tex]
2. Total number of simulations:
[tex]\[ N_{\text{total}} = 20 \][/tex]
3. Calculate the probability [tex]\( P \)[/tex] [tex]\( \)[/tex] of at least one German shepherd in the next five dogs:
[tex]\[ P = \frac{N_{\text{GS}}}{N_{\text{total}}} = \frac{14}{20} \][/tex]
4. Simplify to find the probability:
[tex]\[ P = 0.7 \][/tex]
So, the probability that at least one of the next five dogs he sees will be a German shepherd is [tex]\( 0.70 \)[/tex].
Therefore, the correct answer is:
C. 0.70
