Probability and Counting Rules

What is the probability of flipping a coin and getting heads?

• 1/3

• 1/4

• 1/2

• 2/3

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8

• 64

• 8!

• 56

How many ways can 9 persons line up in a row for a pictorial?

• 362,880

• 360,000

• 352,880

• 332,800

How many arrangements of answers are possible for a true/false test with 10 questions?

• 1024

• 100

• 20

• 10

In how many different ways can first, second, and third prize winners be chosen in a random drawing if 50 people entered a contest?

• 50

• 19600

• 117600

• 150

Two fair dice are rolled, determine the probability that the sum of the two dice is 11.

• 2/12

• 2/36

• 11/36

• 11/12

If the letters A, B, C, D, E, and F are to be used in a five-letter code, how many different codes are possible if repetitions are not permitted?

• 625

• 720

• 7776

• 1296

A store manager wants to display 4 different brands of toothpaste in a row. How many ways can this be done?

• 4

• 12

• 6

• 24

When a die is rolled twice, there are __________ possible outcomes.

• 8

• 18

• 36

• 48

Evaluate the following: ₇P₃.

• 210

• 35

• 5040

• 6