Download ExamView - Study Guide - Section 6.8

Name: ________________________ Class: ___________________ Date: __________
ID: A
Study Guide - Section 6.8 - Counting Principle
1. Use a tree diagram to find the number of choices that are possible if you choose one of 6 bicycles and one of
5 colors.
2. Prestige Builders has a development of new homes. There are four different floor plans and seven exterior
colors. How many choices are there for one home?
____
3. At a carnival concessions stand, you may choose to purchase a hamburger, a chicken burger, a Polish
sausage, or a fish sandwich. You may buy a side order of fries, potato salad, or green salad. You may drink
iced tea, soda, milk, juice, or water. How many meal choices do you have?
a. 72
b. 60
c. 12
d. 19
4. A lock has a 4-digit combination. Each of the digits is a number from 0 to 9. Find the probability that the
combination of the lock is "1234".
5. Two number cubes are rolled. Find the number of outcomes for rolling two odd numbers.
6. Two number cubes are rolled. Find the number of outcomes for rolling at least one odd number.
7. The school cafeteria offers the following lunch choices:
main course A or B
salad or vegetable
milk, juice, or water
gelatin, pudding, or cake
a. Use the counting principle to find the number of different lunches that are possible.
b. Find the probability of choosing a unique lunch combination.
c. When you arrive for lunch, there are no main course B lunches left. If you randomly select your side dish,
drink, and dessert, what is the probability that you will choose main course A, with a salad, milk, and cake?
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ID: A
Study Guide - Section 6.8 - Counting Principle
Answer Section
1. 30 choices
2. 28 choices
3. B
1
4.
10, 000
5. 9
6. 27
7. a. 2·2·3·3 = 36 different lunches
b.
1
36
c.
1
18
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