a wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. the…

a wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. the consulting company gathered data from each customer who purchased hiking shoes, and recorded the shoe brand and the customers level of happiness. what is the probability that a randomly selected customer purchased a footlong shoe and is pleased? simplify any fractions.

a wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. the consulting company gathered data from each customer who purchased hiking shoes, and recorded the shoe brand and the customers level of happiness. what is the probability that a randomly selected customer purchased a footlong shoe and is pleased? simplify any fractions.

Answer

Explanation:

Step1: Calculate total number of customers

The total number of customers is the sum of all values in the table. So, $(4 + 4+6 + 4)=18$.

Step2: Identify number of favorable cases

The number of customers who purchased a Footlong shoe and are pleased is 4.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable cases}}{\text{Total number of cases}}$. So, $P = \frac{4}{18}=\frac{2}{9}$.

Answer:

$\frac{2}{9}$