Question

a survey is conducted to study the favorite dessert of individuals in different regions. the two-way table is given below:

\

$$\begin{tabular}{|l|c|c|c|} \\hline & cake & cookies & ice cream \\\\ \\hline south & 6 & 5 & 12 \\\\ \\hline midwest & 14 & 4 & 4 \\\\ \\hline north & 10 & 7 & 6 \\\\ \\hline \\end{tabular}$$

what is the probability that a randomly selected person from this survey is from the midwest, given their favorite dessert is cake?

\\(p(\text{midwest} \mid \text{cake}) = ?\\%\\)

round your answer to the nearest whole percent.

Explanation:

Identify the relevant values from the table

$$
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$$

Calculate the conditional probability

$$
LATEXBLOCK1
$$

Convert to percentage and round to the nearest whole percent

$$
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$$

Answer:

A survey is conducted to study the favorite dessert of individuals in different regions. The two-way table is given below:

	Cake	Cookies	Ice Cream
Midwest	14	4	4
North	10	7	6

What is the probability that a randomly selected person from this survey is from the Midwest, given their favorite dessert is cake?

\(P(\text{Midwest} \mid \text{Cake}) =\) <blank>47</blank>%

Round your answer to the nearest whole percent.