Question

a survey is conducted to study pet ownership in different age groups. the two-way table is given below:

\

$$\begin{tabular}{|c|c|c|c|} \\hline & dog & cat & no pet \\\\ \\hline young adult & 17 & 17 & 15 \\\\ \\hline middle aged & 23 & 10 & 15 \\\\ \\hline senior citizen & 22 & 25 & 1 \\\\ \\hline \\end{tabular}$$

what is the probability that a randomly selected person from this survey is a senior citizen, given they own no pet?

\\(p(\text{senior citizen} \mid \text{no pet}) = ?\\%\\)

round your answer to the nearest whole percent.

Explanation:

Identify the given values from the table

$$
LATEXBLOCK0
$$

Calculate the conditional probability

$$
LATEXBLOCK1
$$

Convert to percent and round to the nearest whole percent

$$
LATEXBLOCK2
$$

Answer:

What is the probability that a randomly selected person from this survey is a senior citizen, given they own no pet?

\(P(\text{Senior Citizen} \mid \text{No Pet}) =\) <blank>3</blank>%