Counting Principle and Probability

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips, salad and beverage can be ordered?

• 30

• 17

• 90

• 270

The student council is selling sweatshirts with the school name and emblem.  The shirts come in colors, styles, and sizes.  There are 3 colors (white, gray, black); 2 styles (hooded, crew); and 3 sizes (small, medium, large).  How many different types of sweatshirts are available?

• 11

• 18

• 9

In a given calling area, telephone numbers have the same first 3 digits.  The four-digit number that follows is different for each telephone number.  How many numbers are possible?

• 10, 000

• 1, 000

• 4

Members of a video club choose a personal identification number (PIN) consisting of 2 letters followed by 2 digits.  How many PIN's are possible if letters and digits are repeated? 

• 67, 600

• 72

• 1, 000, 000

There is one each of the following colors of marbles 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

How many outcomes are there with tossing a coin and rolling a dice?

• 2

• 6

• 12

• 24

If I flip a coin 10 times, how many times should I get heads?

• 1

• 10

• 3

• 5

Which shows the sample space for flipping two coins?

• H, T

• HH, HT, TH, TT

• HH, TT

• Dime, Nickel

If a numbered cube is rolled 54 times, how many times would you expect to get a 6?

• 1

• 8

• 3

• 9