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Shelley's Cupcakes recently sold $8$ cupcakes, of which $4$ were coconut cupcakes. Considering this data, how many of the next $20$ cupcakes sold would you expect to be coconut cupcakes? $\newline$ ____ coconut cupcakes

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Q. Shelley's Cupcakes recently sold

8

cupcakes, of which

4

were coconut cupcakes. Considering this data, how many of the next

20

cupcakes sold would you expect to be coconut cupcakes?

\newline

____ coconut cupcakes

Find Cupcake Sales: First, let's find out how many cupcakes were sold and how many of them were coconut. We know $8$ cupcakes were sold, and $4$ of these were coconut.
Calculate Probability: Next, we calculate the probability of selling a coconut cupcake. This is the number of coconut cupcakes divided by the total number of cupcakes sold. $\newline$ $P(\text{coconut cupcakes}) = \frac{4}{8} = \frac{1}{2}$
Predict Coconut Cupcakes: Now, we use this probability to predict how many of the next $20$ cupcakes sold will be coconut. We multiply the probability by the number of upcoming sales: $\newline$ Expected coconut cupcakes = $\frac{1}{2} \times 20 = 10$

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