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Each participant tastes snack A and snack B and then chooses their favorite. Some participants have eaten snack A before and some have not. The results of the test are shown in a table. Using the data in the table, the company that makes snack A calculates probabilities related to a randomly selected person.
\begin{tabular}{|c|l|l|l|} \hline & Prefers Snack A & Prefers Snack B & Total \\ \hline Has Eaten Snack A before & 144 & 92 & 236 \\ \hline Has Not Eaten Snack A before & 108 & 228 & 336 \\ \hline Total & 252 & 320 & 572 \\ \hline \end{tabular}
Complete the conclusions based on the data in the table.
- Given a person who has eaten snack [tex]$A$[/tex] before, the probability they will prefer snack [tex]$A$[/tex] is [tex]$\backsim$[/tex] \_\_\_. - Given a person who has not eaten snack [tex]$A$[/tex] before, the probability they will prefer snack [tex]$B$[/tex] is \_\_\_.
Complete the conclusions based on the data in the table.
Given a person who has eaten snack [tex]$A$[/tex] before, the probability that the customer will prefer snack [tex]$A$[/tex] is approximately 0.61.
Given a person who has not eaten snack [tex]$A$[/tex] before, the probability that the customer will prefer snack [tex]$B$[/tex] is approximately 0.68.
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