——————————————————————————————— 1. A survey of 850 family houses showed that 220 own Laptops, 450 own PCs, and 130 own both Laptops and PCs. a. How many houses in the survey own either a Laptop or a PC? (a) 280 (b) 540 (c) 800 (d) 720 (e) None of the above b. How many own a Laptop and do not own a PC? (a) 220 (b) 320 (c) 90 (d) 350 (e) None of the above c. How many do not own any of the items: Laptops or PCs? (a) 50 (b) 80 (c) 310 (d) 350 (e) None of the above —————————————————————————————— 2. If A and B are events in a sample space set S and P A 0. 5, P B 0. 3, and PA B 0. 1. Then a. P A B (a) 0. 2 (b) 0. 3 (c) 0. 1 (d) 0. 4 (e) None of the above 3. P A B (a) 0. 3 (b) 0. 2 (c) 0. 1 (d) 0. 4 (e) None of the above —————————————————————————————— 4. In a family with 3 children, excluding multiple births, what is the probability of having 2 girls and 1 boy in any order (a) 3 (b) 2 (c) 1 (d) 3 (e) None of the above 3 3 8 9 —————————————————————————————— 5. A committee of 8 people must be selected from a pool of 7 women and 12 men. What is the probability that the committee has a. 5 women and 3 men? b. At least 1 woman? c. All women? 6. By examining the past driving records of drivers in a certain city, an insurance company has determined the following empirical probabilities. Miles driven per year Less than 10,000 (M1) 10,000-15,000 (M2) More than 15,000 (M3) Total Accident A No Accident A Total 0.03 0.12 0.15 0.07 0.33 0.40 0.1 0.35 0.45 0.2 0.8 1

MTH 101 (Final Sample)

If a driver is selected at random, what is the probability that the driver a. drives less than 10,000 miles or has no accident b. drives 10,000 or more miles per year and has an accident 7. A fair die is painted so that 2 sides are red, 3 sides are white, and 1 side is blue. If the die is rolled once, what is the probability that the top side is white? 8. An opinion poll is to be conducted among