At a school's open house, T-shirts and sweatshirts were sold.Each item was purchased by either a student or a parent.The two-way frequency table summarizes a random sample of 50 items sold that night.Student ParentT-shirt 8 19Sweatshirt 12 11Let T-shirt be the event that an item randomly chosen from among those sold was a T-shirt.Let student be the event that an item randomly chosen from among those sold was purchased by a student.Find the following probabilities. Write your answers as decimals.(If necessary, consult a list of formulas.)(a) =P(student)(b) P(T-shirtand=student)(c) P(T-shirt|=student)

Kanika has to choose a t-shirt for her outfit from a collection of 6 yellow t-shirts, 2 black t-shirts and 4 blue t-shirts. If a t-shirt is chosen randomly, then what is the chance that a black or a blue t-shirt is chosen by Kanika for her outfit? Enter the answer correct to one decimal place.

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?

orWatch a videoA T-shirt stand on the boardwalk recently sold 6 purple shirts and 9 shirts in other colors. What is the experimental probability that the next shirt sold will be purple?Simplify your answer and write it as a fraction or whole number.

The two-way table shows the results of a survey that asked students whether they like choir or band. Find the probability that a student likes band given the student does not like choir. Round to the nearest tenth of a percent.%

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.)