Probability and Counting Principle

A radio host plans to play one song from each of 3 CDs by a single artist.  The first CD includes 12 songs.  the second CD includes 14 songs, and the third includes 13 songs.  How many different combinations are possible?

• 39

• 2184

• 117

There is one each of the following colors of jelly-beans in a hat: pink, blue, yellow, red, and black. What is the probability that you select a blue, return the marble and select a pink?

• 1/25

• 2/25

• 1/5

• 1/20

You and three friends go to cold stones and order an ice cream. The menu has 9 types of ice creams and each of you is equally likely to order any type. What is the probability that each of you orders a different type?

• 1/9

• 3/9

• 56/81

• 504/729

Heather must choose a PIN code for her ATM card. The pin is a 4 digit code. How many possible PIN numbers are there?

• 10,000

• More than 1 million

• 4

• None of these

A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?

• 12

• 80

• 28

• 1024

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?

• 36

• 64

• 720

• 46656

If you roll two dice, how many possible outcomes?

• 360

• 1

• 36

• 12

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

• fundamental counting principle

• experimental probability

• theoretical probability

• tree diagram

Find the total number of outcomes for picking a day of the week and a month of the year.

• 19

• 84

• 60

• 210

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6

• 12

• 24

• 36