Questions: Evelyn is recording what kinds of shoes people are wearing at the mall. sandals 4 sneakers 5 loafers 6 high heels 6 boots 3 What is the experimental probability that the next person Evelyn sees will be wearing loafers? Write your answer as a fraction or whole number. P(loafers) =

$Evelyn is recording what kinds of shoes people are wearing at the mall. sandals 4 sneakers 5 loafers 6 high heels 6 boots 3 What is the experimental probability that the next person Evelyn sees will be wearing loafers? Write your answer as a fraction or whole number. P(loafers) =$

Transcript text: Evelyn is recording what kinds of shoes people are wearing at the mall. \begin{tabular}{|l|l|} \hline sandals & 4 \\ \hline sneakers & 5 \\ \hline loafers & 6 \\ \hline high heels & 6 \\ \hline boots & 3 \\ \hline \end{tabular} What is the experimental probability that the next person Evelyn sees will be wearing loafers? Write your answer as a fraction or whole number. P(loafers) = $\square$ Submit

Solution

Solution Steps

To find the experimental probability that the next person Evelyn sees will be wearing loafers, we need to divide the number of people wearing loafers by the total number of people observed. This will give us the probability as a fraction.

Step 1: Count the Number of People Wearing Loafers

The number of people wearing loafers is given as $ 6 $.

Step 2: Calculate the Total Number of People Observed

To find the total number of people observed, we sum the number of people wearing each type of shoe: \[ \text{Total} = 4 \, (\text{sandal}) + 5 \, (\text{sneaker}) + 6 \, (\text{loafer}) + 6 \, (\text{high heel}) + 3 \, (\text{boot}) = 24 \]

Step 3: Calculate the Experimental Probability

The experimental probability $ P(\text{loafers}) $ is calculated as follows: \[ P(\text{loafers}) = \frac{\text{Number of loafers}}{\text{Total number of people}} = \frac{6}{24} = \frac{1}{4} \]