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Of the last 18 trains to pull into Castroville Station, 12 were full. Considering this data, how many of the next 12 trains would you expect to be full?

◻ trains

Of the last $18$ trains to pull into Castroville Station, $12$ were full. Considering this data, how many of the next $12$ trains would you expect to be full? $\newline$ $\square$ trains

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Full solution

Q. Of the last

18

trains to pull into Castroville Station,

12

were full. Considering this data, how many of the next

12

trains would you expect to be full?

\newline

\square

trains

Calculate total trains: Step $1$ : Calculate the total number of trains that pulled into Castroville Station. $\newline$ Total trains = $18$
Determine full trains: Step $2$ : Determine the number of trains that were full. Trains that were full $= 12$
Calculate probability: Step $3$ : Calculate the probability of a train being full. $\newline$ Probability (train is full) = Number of full trains / Total trains $\newline$ Probability (train is full) = $\frac{12}{18}$ $\newline$ Probability (train is full) = $\frac{2}{3}$
Predict expected full trains: Step $4$ : Use the probability to predict how many of the next $12$ trains will be full. $\newline$ Expected full trains = Probability (train is full) $\times$ Next trains $\newline$ Expected full trains = $\frac{2}{3} \times 12$ $\newline$ Expected full trains = $8$

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