Course 2 • Chapter 9 Probability 147

NAME _____________________________________________ DATE __________________ PERIOD _________

Copy

righ

t © T

he M

cGra

w-H

ill C

ompa

nies

, Inc

. Per

mis

sion

is g

rant

ed to

repr

oduc

e fo

r cla

ssro

om u

se.

Lesson 5 ReteachFundamental Counting Principle

Example CLOTHING Andy has 5 shirts, 3 pairs of pants, and 6 pairs of socks. How many different outfits can Andy choose with a shirt, pair of pants, and pair of socks?

number of pairs number of shirts number of pants of socks total number of outfi ts

5 3 6 = 90

Andy can choose 90 different outfits.

ExercisesUse the Fundamental Counting Principle to find the total number of outcomes in each situation.

1. rolling two number cubes

2. tossing 3 coins

3. picking one consonant and one vowel

4. choosing one of 3 processor speeds, 2 sizes of memory, and 4 sizes of hard drive

5. choosing a 4-, 6-, or 8-cylinder engine and 2- or 4-wheel drive

6. rolling 2 number cubes and tossing 2 coins

7. choosing a color from 4 colors and a whole number from 4 to 10

If event M can occur in m ways and is followed by event N that can occur in n ways, then the event M followed by N can occur in m × n ways. This is called the Fundamental Counting Principle.

· ·

⎧ # ⎨ # ⎩ ⎧ # ⎨ # ⎩ ⎧ # ⎨ # ⎩ ⎧ # ⎨ # ⎩

137_152_CC_A_RSPC2_C09_662331.indd Page 147 7/21/11 8:01 AM s-60user137_152_CC_A_RSPC2_C09_662331.indd Page 147 7/21/11 8:01 AM s-60user /Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY/.../Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY/...

PDF Pass

148 Course 2 • Chapter 9 Probability

NAME _____________________________________________ DATE __________________ PERIOD _________

Copyright © The M

cGraw

-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 5 Skills PracticeFundamental Counting Principle

Use the Fundamental Counting Principle to find the total number of outcomes in each situation.

1. rolling two number cubes and tossing one coin

2. choosing rye or Bermuda grass and 3 different mixtures of fertilizer

3. making a sandwich with ham, turkey, or roast beef; Swiss or provolone cheese; and mustard or mayonnaise

4. tossing 4 coins

5. choosing from 3 sizes of bottled water and from distilled, filtered, or spring water

6. choosing from 3 flavors and 3 sizes of juice

7. choosing from 35 flavors of ice cream; one, two, or three scoops; and sugar or waffle cone

8. picking a day of the week and a date in the month of April

9. rolling 3 number cubes and tossing 2 coins

10. choosing a 4-letter password using only 5 letters that may each be used more than once

11. choosing a bicycle with or without shock absorbers; with or without lights; and 5 color choices

12. a license plate that has 3 numbers from 0 to 9 and 2 letters where each number and a letter may be used more than once

137_152_CC_A_RSPC2_C09_662331.indd Page 148 7/21/11 8:01 AM s-60user137_152_CC_A_RSPC2_C09_662331.indd Page 148 7/21/11 8:01 AM s-60user /Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY/.../Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY/...

PDF Pass

Course 2 • Chapter 9 Probability 147

NAME _____________________________________________ DATE __________________ PERIOD _________

Copy

righ

t © T

he M

cGra

w-H

ill C

ompa

nies

, Inc

. Per

mis

sion

is g

rant

ed to

repr

oduc

e fo

r cla

ssro

om u

se.

Lesson 5 Homework PracticeFundamental Counting Principle

Use the Fundamental Counting Principle to find the total number of outcomes in each situation.

1. choosing from 8 car models, 5 exterior paint colors, and 2 interior colors

2. selecting a year in the last decade and a month of the year

3. picking from 3 theme parks and 1-day, 2-day, 3-day, and 5-day passes

4. choosing a meat and cheese sandwich from the list shown in the table

5. tossing a coin and rolling 3 number cubes

6. selecting coffee in regular or decaf, with or without cream, and with or without sweeteners

7 COINS Find the number of possible outcomes if 2 quarters, 4 dimes, and 1 nickel are tossed.

8. SOCIAL SECURITY Find the number of possible 9-digit social security numbers if the digits may be repeated.

9. AIRPORTS Jolon will be staying with his grandparents for a week. There are four flights that leave the airport near Jolon’s home that connect to an airport that has two different flights to his grandparents’ hometown. Find the number of possible flights. Then find the probability of taking the earliest flight from each airport if the flight is selected at random.

10. ANALYZE TABLES The table shows the kinds of homes offered by a residential builder. If the builder offers a discount on one home at random, find the probability it will be a 4-bedroom home with an open porch. Explain your reasoning.

Cheese Meat

Provolone Salami

Swiss Turkey

American Tuna

Cheddar Ham

Number of Bedrooms

Style of Kitchen

Type of Porch

5-bedroom Mediterranean Open

4-bedroom Contemporary Screen

3-bedroom Southwestern

137_152_CC_A_HWPSC2_C09_662334.indd Page 147 28/07/11 7:37 AM s-60user137_152_CC_A_HWPSC2_C09_662334.indd Page 147 28/07/11 7:37 AM s-60userVolumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY/ASSESSMENT_MASTERS_COURSE1-3..Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY/ASSESSMENT_MASTERS_COURS

PDF Pass