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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 customer's level of happiness. A Footlong shoe A Toes Knows shoe Displeased 3 3 Pleased 3 3 What is the probability that a randomly selected customer is pleased or purchased a Toes Knows shoe? 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 customer's level of happiness.\newline\begin{tabular}{|l|c|c|}\newline\hline & A Footlong shoe & A Toes Knows shoe \\\newline\hline Displeased & 33 & 33 \\\newline\hline Pleased & 33 & 33 \\\newline\hline\newline\end{tabular}\newlineWhat is the probability that a randomly selected customer is pleased or purchased a Toes Knows shoe?\newlineSimplify any fractions.\newline□ \square

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Q. 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 customer's level of happiness.\newline\begin{tabular}{|l|c|c|}\newline\hline & A Footlong shoe & A Toes Knows shoe \\\newline\hline Displeased & 33 & 33 \\\newline\hline Pleased & 33 & 33 \\\newline\hline\newline\end{tabular}\newlineWhat is the probability that a randomly selected customer is pleased or purchased a Toes Knows shoe?\newlineSimplify any fractions.\newline□ \square
  1. Total customers calculation: Total customers = Displeased Footlong + Pleased Footlong + Displeased Toes Knows + Pleased Toes Knows\newlineTotal customers = 3+3+3+33 + 3 + 3 + 3\newlineTotal customers = 1212
  2. Pleased customers calculation: Pleased customers=Displeased Footlong+Pleased Footlong\text{Pleased customers} = \text{Displeased Footlong} + \text{Pleased Footlong}\newlinePleased customers=3+3\text{Pleased customers} = 3 + 3\newlinePleased customers=6\text{Pleased customers} = 6
  3. Customers who purchased Toes Knows: Customers who purchased Toes Knows =Displeased Toes Knows+Pleased Toes Knows= \text{Displeased Toes Knows} + \text{Pleased Toes Knows}\newlineCustomers who purchased Toes Knows =3+3= 3 + 3\newlineCustomers who purchased Toes Knows =6= 6
  4. Probability of pleased customer: Probability of pleased customer = Pleased customersTotal customers\frac{\text{Pleased customers}}{\text{Total customers}}\newlineProbability of pleased customer = 612\frac{6}{12}\newlineProbability of pleased customer = 12\frac{1}{2}
  5. Probability of purchasing Toes Knows: Probability of purchasing Toes Knows = Customers who purchased Toes Knows 612\frac{6}{12}\newlineProbability of purchasing Toes Knows = 12\frac{1}{2}
  6. Probability of pleased or Toes Knows: Probability of pleased or Toes Knows = Probability of pleased customer + Probability of purchasing Toes Knows −- Probability of pleased and Toes Knows\newlineProbability of pleased or Toes Knows = 12\frac{1}{2} + 12\frac{1}{2} −- (Pleased Toes Knows // Total customers)\newlineProbability of pleased or Toes Knows = 12\frac{1}{2} + 12\frac{1}{2} −- (312\frac{3}{12})\newlineProbability of pleased or Toes Knows = 12\frac{1}{2} + 12\frac{1}{2} −- 12\frac{1}{2}22\newlineProbability of pleased or Toes Knows = 12\frac{1}{2}33 −- 12\frac{1}{2}22\newlineProbability of pleased or Toes Knows = 12\frac{1}{2}66

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