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$Bob entered his sister into their town's Smelly Shoe Competition. Bob observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes. Tennis shoes High heels Under 18 5 6 18 or older 3 5 What is the probability that a randomly selected contestant is under 18 and is wearing high heels? Simplify any fractions.$

Bob entered his sister into their town's Smelly Shoe Competition. Bob observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes. $\newline$ \begin{tabular}{|l|c|c|} $\newline$ \hline & Tennis shoes & High heels \\ $\newline$ \hline Under $18$ & $5$ & $6$ \\ $\newline$ \hline $18$ or older & $3$ & $5$ \\ $\newline$ \hline $\newline$ \end{tabular} $\newline$ What is the probability that a randomly selected contestant is under $18$ and is wearing high heels? $\newline$ Simplify any fractions.

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Probability of independent and dependent events

Full solution

Q. Bob entered his sister into their town's Smelly Shoe Competition. Bob observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes.

\newline

\begin{tabular}{|l|c|c|}

\newline

\hline & Tennis shoes & High heels \\

\newline

\hline Under

18

&

5

&

6

\\

\newline

\hline

18

or older &

3

&

5

\\

\newline

\hline

\newline

\end{tabular}

\newline

What is the probability that a randomly selected contestant is under

18

and is wearing high heels?

\newline

Simplify any fractions.

Calculate Total Under $18$ : Total number of contestants under $18$ is the sum of those wearing tennis shoes and high heels, which is $5 + 6$ . $\newline$ Calculation: $5 + 6 = 11$ .
Calculate Total High Heels: Total number of contestants wearing high heels is the sum of those under $18$ and $18$ or older, which is $6 + 5$ . $\newline$ Calculation: $6 + 5 = 11$ .
Calculate Total Contestants: Total number of contestants is the sum of all contestants in both age groups and shoe types, which is $5 + 6 + 3 + 5$ . $\newline$ Calculation: $5 + 6 + 3 + 5 = 19$ .

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