Study Guide Sections 6.6 to 6.8, 11.9
1. A map has a scale of 1 inch: 250 miles. If the map distance is 5 inches, find the actual
distance. (set up and solve a proportion)
2.
Write the scale 1 in : 2 ft without units.
3. A map has a scale of 1 cm : 2 km. What is the distance on the map if the actual
distance is 108 kilometers?
Use the following information to answer Questions 4-6.
A bag contains 8 blue marbles, 6 red marbles, 15 green marbles, and 16 orange marbles. A
marble is chosen at random from the bag.
4. What is the probability that the marble is red?
5. What are the odds in favor of choosing a green marble?
6. What are the odds against choosing an orange marble?
7. During hockey practice, you scored 8 goals out of 20 shots. Using experimental
probability, predict how many goals you would score out of 50 shots.
8. You roll a blue and a red number cube. Use the counting principle to find the number of
different outcomes that are possible.
In Exercises 9 and 10, use the following information. You roll a 6-sided number cube and a 10sided number decahedron.
9. How many different possible outcomes are there for the pairs of the numbers rolled?
10. What is the probability that you roll the same number on the cube and the decahedron?
11. You randomly choose a 7-digit code to open your garage door. What is the probability
that you choose the code 1234567?
Tell whether the events A and B are independent or dependent. Then find P(A and B).
12. You randomly draw a sock from a drawer that contains 4 black socks, 12 white socks, 2
purple socks, and 10 blue socks. Without replacing the first sock, you randomly draw
another sock.
Event A: The first sock is blue.
Event B: The second sock is purple.
13. You randomly draw a marble from a bag that contains 7 blue marbles, 12 red marbles, 9
green marbles, and 17 yellow marbles. You replace the first marble, and then you
randomly draw another marble.
Event A: The first marble is blue.
Event B: The second marble is green.