7th Grade Math

= Step-by-Step Solutions begin on page R1.

Extra Practice begins on page EP2.

A number cube is rolled and a marble is selected at

random from the bag at the right. Find each probability.

Example 1

6. P(1 and red) 7. P(3 and purple)


7. P(even and yellow) 9. P(odd and not green)


8. P(less than 4 and blue) 11. P(greater than 1 and red)

Example 2 12. GAMES Corbin is playing a board game that requires rolling two number

cubes to move a game piece. He needs to roll a sum of 6 on his next turn

and then a sum of 10 to land on the next two bonus spaces. What is the

probability that Corbin will roll a sum of 6 and then a sum of 10 on his

next two turns?

Example 3 13. LAUNDRY A laundry basket contains 18 blue socks and 24 black socks.

What is the probability of randomly picking 2 black socks from the

basket?

Mrs. Ameldo’s class has 5 students with blue eyes, 7 with brown eyes,

4 with hazel eyes, and 4 with green eyes. Two students are selected at

random. Find each probability.

14. P(two blue) 1515 P(green then brown)


15. P(hazel then blue) 17. P(brown then blue)


16. P(two green) 19. P(two not hazel)

(^) B 20. MARKETING A discount supermarket has found that 60% of their
customers spend more than $75 each visit. What is the probability that
the next two customers will each spend more than $75?

21. SCHOOL Use the information below and Clearview Middle School
    Favorite Subject
    Art 16%
    Language Arts 13%
    Math 28%
    Music 7%
    Science 21%
    Social Studies 15%

the table at the right.

At Clearview Middle School, 56% of the

students are girls and 44% are boys.

a. If two students are chosen at random,

what is the probability that the first

student is a girl and that the second

student’s favorite subject is science?

b. What is the probability that of two randomly

selected students, one is a boy and the other

is a student whose favorite subject is not art or math?

22. MOVIES You and a friend plan to see 2 movies over the weekend. You
    can choose from 6 comedy, 2 drama, 4 romance, 1 science fiction, or
    3 action movies. You write the movie titles on pieces of paper, place them
    in a bag, and each randomly select a movie. What is the probability that
    neither of you selects a comedy? Is this a dependent or independent
    event? Explain.

ng two number

Lesson 2B Compound Events 453

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