From the research conducted by a Cancer Research Institute, it has been found that 5 percent of male cancer patients can recover, while 2.5 percent of female cancer patients can recover. The male and female cancer patients each make up 50 percent of the population, which consists of 100 cancer patients. A medical researcher wants to conduct further research on a patient who has recovered from cancer. What is the probability of randomly selecting: a. A male individual? b. A female individual?

Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?

A car dealership sells two types of cars: sedans and SUVs. The dealership conducted a survey and found that out of 200 customers, 120 purchased sedans, 80 purchased SUVs, and 40 purchased both types of cars. Calculate the probability that a randomly selected customer purchased either a sedan or an SUV.

Of the last 60 people who went to the cash register at a department store, 13 had blond hair, 19 had black hair, 22 had brown hair, and 6 had red hair. Determine the empirical probability that the next person to come to the register has blond hair.

Below are the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status.  If a patient is selected at random: What is the probability that they are overweight? What is the probability that they are obese and diabetic? What proportion of the diabetics are obese? What proportion of normal weight patients are not diabetic? What proportion of patients are normal weight or underweight?     Underweight Normal Weight Overweight Obese Row Totals   Diabetic 8 34 65 43     Not Diabetic 12 85 93 40     Column Totals

A survey reports that 53% of college students use Google as their search engine.  If 100 students of a college were randomly selected and were asked whether he or she uses Google as their search engine, what is the probability that at least 66 will say yes?

Sixty percent of clowns aren’t funny.   If you randomly encounter three different clowns, what is the probability that none of them are funny?

Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector randomly selects three players from the     production line. What is the probability that exactly one of these three blue ray players is defective?

College students were surveyed to check what they favored between basketball, football or baseball. The result of the survey is listed in the table below.     Favorite sports   Basketball Football Baseball Total Male 22 40 15   Female 45 12 16   Total         If three students from this group are selected at random, find the probability that All students’ favors football. Two students favor basketball and one favors baseball. None of the students favors baseball.