1. Some people really object to pineapple on their pizza whereas others quite like it. Last week 120 diners were selected at random from those who were eating at amall food court. The selected diners were asked if they liked pineapple on pizza or hated it. The table below contains data gathered in thatstudy.

Pineapple on Pizza as a Function of Gender

	Likes	Hates
Females	35	30
Males	10	45

Suppose one of these diners is to be randomly selected for a follow-up interview. Use the information in the table to answer the questions below. In showing your work, define and use appropriate notation.

A. What is the probability that the selected diner isfemale?

B. Whatistheprobabilitythattheselecteddinerisfemaleorhatespineappleonpizza?

C. What is the probability that the selected diner is male and hates pineapple onpizza?

2. Inthesurveyofdinersdescribedinproblem1,dinerswerealsoclassifiedbyage:

Pineapple on Pizza as a Function of Gender and Age

	Likes	Hates	Totals
Females under 40	14	1	15
Males under 40	1	24	25
Females over 40	21	29	50
Males over 40	9	21	30
Totals	45	75	120

Suppose one of these diners is to be randomly selected. Calculate the probability that:

D. The selected diner is under 40, given that the diner isfemale.

E. The selected diner hates pineapple on pizza, given that the dineris over40.

F. The selected diner is male and over40.