A produce buyer for a juice company is buying peaches. He makes a choice of either Wisconsin, California, or imported peaches. For this contract he must also choose fancy or extra fancy. Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes in parts (a) and (b) below.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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A produce buyer for a juice company is buying peaches. He makes a choice of either Wisconsin, California, or imported peaches. For this contract, he must also choose fancy or extra fancy. Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes in parts (a) and (b) below.

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Write out the sample space. Choose the correct answer below.

- A. \( S = \{(California, fancy), (California, extra fancy), (Wisconsin, fancy), (Wisconsin, extra fancy), (imported, fancy), (imported, extra fancy)\} \) (Selected as correct)

- B. \( S = \{(California, fancy), (Wisconsin, fancy), (Wisconsin, extra fancy), (imported, extra fancy)\} \)

- C. \( S = \{(California, fancy), (Wisconsin, extra fancy), (imported, extra fancy)\} \)

- D. \( S = \{(California, fancy), (California, extra fancy), (Wisconsin, fancy), (Wisconsin, extra fancy), (Oregon, fancy), (Oregon, extra fancy), (imported, fancy), (imported, extra fancy)\} \)

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(a) The peaches selected are fancy.

\[
\frac{1}{2} \quad (\text{Type an integer or a simplified fraction.})
\]

(b) The peaches selected are from Wisconsin or extra fancy.

\[
\quad (\text{Type an integer or a simplified fraction.})
\]
Transcribed Image Text:A produce buyer for a juice company is buying peaches. He makes a choice of either Wisconsin, California, or imported peaches. For this contract, he must also choose fancy or extra fancy. Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes in parts (a) and (b) below. --- Write out the sample space. Choose the correct answer below. - A. \( S = \{(California, fancy), (California, extra fancy), (Wisconsin, fancy), (Wisconsin, extra fancy), (imported, fancy), (imported, extra fancy)\} \) (Selected as correct) - B. \( S = \{(California, fancy), (Wisconsin, fancy), (Wisconsin, extra fancy), (imported, extra fancy)\} \) - C. \( S = \{(California, fancy), (Wisconsin, extra fancy), (imported, extra fancy)\} \) - D. \( S = \{(California, fancy), (California, extra fancy), (Wisconsin, fancy), (Wisconsin, extra fancy), (Oregon, fancy), (Oregon, extra fancy), (imported, fancy), (imported, extra fancy)\} \) --- (a) The peaches selected are fancy. \[ \frac{1}{2} \quad (\text{Type an integer or a simplified fraction.}) \] (b) The peaches selected are from Wisconsin or extra fancy. \[ \quad (\text{Type an integer or a simplified fraction.}) \]
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