A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the company's 221 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below. Shirt Jacket Male 97 16 Female 84 24 Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the employee is female and prefers a shirt? (b) What is the probability that the employee is female or prefers a shirt?

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A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the
company's 221 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table
below.
Shirt Jacket
Male
97
16
Female
84
24
Suppose an employee of the company is chosen at random.
Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth.
(If necessary, consult a list of formulas.)
(a) What is the probability that the employee is female and prefers a shirt?
(b) What is the probability that the employee is female or prefers a shirt?
Transcribed Image Text:A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the company's 221 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below. Shirt Jacket Male 97 16 Female 84 24 Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the employee is female and prefers a shirt? (b) What is the probability that the employee is female or prefers a shirt?
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