On a particular day, a fitness studio had 174 customers. For each, an employee recorded whether the customer was new and what class the customer took. The data are summarized in the table below.Yoga Dance Boxing PilatesNew 11 29 23 31Not new 22 33 14 11Suppose a customer from that particular day 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 customer was not new and took a dance class?(b) What is the probability that the customer was new, given that the customer took a boxing class?

On a particular day, a restaurant that is open for lunch and dinner had 186 customers. Each customer came in for one meal. An employee recorded at which meal each customer came in and whether the customer ordered dessert. The data are summarized in the table below.DessertNo dessertLunch15 69Dinner39 63Suppose a customer from that day 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 customer did not order dessert?(b)What is the probability that the customer came for dinner or did not order dessert?

An internet research company surveyed 90 online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary.Type of purchase Number of shoppersToys 28Electronics 24Beauty supplies 17Office supplies 21Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that all three of the shoppers purchased toys?Do not round your intermediate computations. Round your final answer to three decimal places.(If necessary, consult a list of formulas.)

A club with 50 college students is doing volunteer work this semester. Each student is volunteering at one of four locations. Here is a summary.Location Number of studentsNursing home 14Soup kitchen 15Hospital 8Pet shelter 13Three students from the club are selected at random, one at a time without replacement. What is the probability that none of the three students volunteer at the hospital?Do not round your intermediate computations. Round your final answer to three decimal places.(If necessary, consult a list of formulas.)

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.The probability that a customer purchased a Toe-tastic shoe is 0.64, the probability that a customer is very pleased is 0.36, and the probability that a customer purchased a Toe-tastic shoe or is very pleased is 0.69.What is the probability that a randomly chosen customer purchased a Toe-tastic shoe and is very pleased?Write your answer as a whole number, decimal, or simplified fraction.

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 215 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below.ShirtJacketMale54 69Female79 13Suppose 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 prefers a jacket?(b)What is the probability that the employee is male or prefers a jacket?