Question

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.

	displeased	pleased
a toes knows shoe	20	12
a toe-tastic shoe	16	5
a step-to-it shoe	12	8

what is the probability that a randomly selected customer did not purchase a step-to-it shoe and is not displeased?
simplify any fractions.

Explanation:

Step1: Find target count

Non-Step-To-It & not displeased = pleased customers of other brands: 6 + 12 + 5 = 23

Step2: Calculate total customers

Sum all values: 2+6+20+12+16+5+12+8 = 81

Step3: Compute probability

Probability = target count / total = 23/81

Answer:

$\frac{23}{81}$