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There were $6$ dogs at the dog park last Saturday, and $2$ of them were German shepherds. Considering this data, how many of the next $12$ dogs to arrive at the park next Saturday should you expect to be German shepherds? $\newline$ ____ German shepherds $\newline$

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Make predictions using experimental probability

Full solution

Q. There were

6

dogs at the dog park last Saturday, and

2

of them were German shepherds. Considering this data, how many of the next

12

dogs to arrive at the park next Saturday should you expect to be German shepherds?

\newline

____ German shepherds

\newline

Identify Proportion: Step $1$ : Identify the proportion of German shepherds among the dogs initially at the park. $\newline$ Calculation: $2$ German shepherds out of $6$ dogs. $\newline$ Proportion = $\frac{2}{6} = \frac{1}{3}$
Apply Proportion: Step $2$ : Apply the proportion to the next group of dogs expected at the park. $\newline$ Calculation: Expect $\frac{1}{3}$ of the next $12$ dogs to be German shepherds. $\newline$ Expected number = $\frac{1}{3} \times 12 = 4$

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