Practice 12-2 Conditional Probability 1. The table contains information about Education and Salary of Employees the 1205 employees at one business. Find Under S20,000 to Over each probability. Round to the nearest $20,000 $30,000 S30,000 tenth of a percent. Less than high school 69 36 2 a. P(employee has less than a high High School 112 98 14 school education) 102 103 143 b. P(employee earns under $20,000) Some college c. P(employee earns over $30,000 13 178 25 College degree and has less than a high school education) d. P(employee earns under $20,000 and has a college degree) given that th e employee has on ly a high school education, the probability that the employee earns over $30,000 f. given that the employee earns over $30,000, the probability that the employee has only a high school education or less 2. High school students in one school chose their favorite leisure activity. Find each probability. Round to the nearest tenth of a percent. Favorite Leisure Activities Sports Hiking Reading Phoning Shopping other 48 85 02 71 29 Female 39 Male a. P(sports female b. P(female l sports) c. P(reading l male d. P male l reading) g. male I shopping) h. P(female shopping) e. P(hiking I female) f. P(hiking l male) 3. The senior class is 55% female, and 32% are females who play a competitive sport. Find the probability that a student plays a competitive sport, given that the student is female. Draw a tree diagram. Find each probability 4. A softball game has an 80% chance of being canceled for a light drizzle and a 30% chance of being canceled for a heavy fog when there is no drizzle. There is a 70% chance of heavy fog and a 30% chance of t drizzle. a. Find the probability that the game will be canceled b. Find the probability there will be a light drizzle and the game will not be canceled. The students of a high school are 51% males: 45% of the m ales and 49% of the females attend concerts. a. Find the probability that a student attends concerts. b. Find the probability that a student is a female and does not attend concerts.
