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There were $3$ chihuahuas at the dog park last Saturday, along with $9$ other dogs. Considering this data, how many of the next $20$ dogs to arrive at the park next Saturday should you expect to be chihuahuas? $\newline$ ____ chihuahuas $\newline$

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Full solution

Q. There were

3

chihuahuas at the dog park last Saturday, along with

9

other dogs. Considering this data, how many of the next

20

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

\newline

____ chihuahuas

\newline

Calculate Total Dogs: Step $1$ : Calculate the total number of dogs at the park last Saturday. $\newline$ Total dogs = Chihuahuas + Other dogs $\newline$ Total dogs = $3 + 9 = 12$
Determine Probability: Step $2$ : Determine the probability of a dog being a Chihuahua. $\newline$ Probability (Chihuahua) = Number of Chihuahuas / Total number of dogs $\newline$ Probability (Chihuahua) = $\frac{3}{12} = \frac{1}{4}$
Calculate Expected Chihuahuas: Step $3$ : Calculate the expected number of Chihuahuas among the next $20$ dogs. $\newline$ Expected Chihuahuas = Probability (Chihuahua) $\times$ Number of new dogs $\newline$ Expected Chihuahuas = $\frac{1}{4} \times 20 = 5$

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