Basic Probability and Counting

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

• 362,880

• 360,000

• 352,880

• 332,800

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans.

• ₁₅C₂=105

• ₁₅P₂=210

• 15 x 2 = 30

• 100 ways

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

• 8

• 64

• 8!

• 56

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15

• 40

• 80

• 10

At Wafer Technologies, identification codes each consist of the following sequence: 1 digit, 4 letters, 1 digit. For any 1 code, the digits (0-9) may be the same but he letters, each from the English alphabet, must all be different. Which of the following expressions gives the probability that a randomly selected identification code contains the word MATH, spelled correctly?

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

• 6

• 12

• 24

• 36

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

• 1

• 1_/2

• 1/₄

• 1/8

A tree diagram is useful in determining the __________of a probability experiment.

• result

• possible outcomes

• event

• none of the above

Roll a die one time. Find P(rolling a 4).

• 1/4

• 2/3

• 1/6

• 1/2

What is the probability of spinning red?

• 0

• 5/12

• 1/2

• 3/4