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 222 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 64 86 Female 55 17 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? 0 (b) What is the probability that the employee is female or prefers a shirt? 0 X

A committee consists of five executives, three women and two men. Their names are Maria (M),John (J), Susan (S), Will (W) and Holly (H). The committee needs to select a chairperson and a secretary. Itdecides to make the selection randomly by drawing straws. The person getting the longest straw will beappointed chairperson, and the one getting the shortest straw will be appointed as secretary. The possibleoutcomes can be represented in the following manner.MS SM HM JM WM MH SH HS JS WSMJ SJ HJ JH WH MW SW HW JW WJHere, for example, MS represents the outcome that Maria is appointed chairperson and Susan is appointed assecretary.(a)  List the outcomes constitution each of the following four eventsA = Event a male is appointed chairpersonB = Event Holly is appointed chairpersonC = Event Will is appointed secretaryD = Event only females are appointed(b)  Calculate P(not A)(c)  Calculate P(B and D)(d)  Calculate P(B or C)   (maria,susan and holly are female/women and john and will are male)

Dr. A. Ventura is interested in determining what kinds and how many pets people own in Bakersfield. He stands outside Petco and asks people what kind of pet they own. This is the result of his survey: dog=1; cat=2; bird=3; reptile=4; fish=5; other=6 1,1,2,2,2,1,1,3,2,3,1,1,1,2,2,4,4,2,2,1,1,1,5,4,3,4,1,1,1,2,2,6,1,1,2,2,1,2,1,2,6,3,4,5

A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the students be selected?