Probability of Simple Events Review

Probability: Simple Events

Multiple Choice

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

• 1/2

• 1/3

• 1/4

• Never, Tails never fails.

Multiple Choice

What is the probability of spinning an even number?

• 3/50

• 3/100

• 1/2

• 3/4

Multiple Choice

P(cereal or steak)

• 9/40

• 1/40

• 8/40

• 1/2

Multiple Choice

Sample space is defined as...

• the likelihood of an event occurring.

• a diagram of all possible outcomes.

• the probability of an event.

• a list of all possible outcomes.

Multiple Choice

What is the sample space when rolling a regular number cube?

• 1

• 2, 4, 6

• 1, 2, 3, 4, 5, 6

• 6

Multiple Choice

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

• 6

• 12

• 24

• 36

Multiple Choice

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the CORRECT Sample Space List of possible combinations?

• TW, CW, PW

• TW, TM, TC, CW, PW

• TW, TM, CW, CM, PW, PM

• TCP, MW

Multiple Choice

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

• 2

• 6

• 12

• 24

Multiple Choice

Getting a 0 from a bag that contains the number 1 to 9

• impossible

• unlikely

• likely

• certain

Multiple Choice

Sample space describes all the possible ___________ for an event.

• probabilities

• outcomes

• numbers

Multiple Choice

What are ALL the possible outcomes of spinning this spinner?

• { Red, Yellow, Blue}

• {Yellow, Blue, Green}

• {Red, Yellow, Blue, Purple}

• {Red, Yellow, Blue, Green}

Multiple Choice

You rolled 2 dice ten times and recorded the sum of each of the rolls. What is the experimental probability that the next sum you roll will the a 7?

• 0%

• 1/7

• 7/10

• 3/10

Multiple Choice

Find the experimental probability of spinning Letter Q.

• 15/15

• 3/10

• 3/50

• 7/10

Multiple Choice

Find the theoretical probability of spinning Letter Q.

• 1/4

• 3/10

• 3/50

• 15/4

Fundamental Counting Principles

Multiple Choice

How many license plates of 3 symbols (letters and digits) can be made using at least 2 letters for each?

• 24,336

• 1,757,600

• 37,856

• 46,656

Multiple Choice

How many 3-letter code words can be formed if at least one of the letters is to be chosen from the vowels a, e, i, o, and u?

• 12,215

• 8,315

• 4,155

• 12,090

Multiple Choice

Tree Diagram

• A written list of all possible outcomes
• A description of all possible outcomes
• A drawing with branches of all possible outcomes

Multiple Choice

The tree diagram shows the outcomes of rolling a die and flipping a coin.

How many total outcomes are there?

• 6

• 12

• 24

• 36

Multiple Choice

How many total outfit options are represented?

• 12

• 22

• 3

Multiple Choice

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

Multiple Choice

Which of the following situations is represented by this tree diagram?

• 3 shirt options, 6 pants options, and 12 shoe options

• 3 shirt options, 2 pants options, and 2 shoe options

• 2 shirt options, 3 pants options, and 1 shoe option

Multiple Choice

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the complete set of possible combinations?

• TW, CW, PW

• TW, TM, TC, CW, PW

• TW, TM, CW, CM, PW, PM

• TCP, MW

Multiple Choice

Use the fundamental counting principle to find the total number of outcomes (or outfits) if you have a suitcase with 5 different shirts, 3 types of jackets, 2 different pants, and 3 types of shoes.

• 13, because 5 + 3 + 2 + 3 = 13

• 120, because 5 x 4 x 3 x 2 =120

• 90, because 5 x 3 x 2 x 3 = 90

• 52, because (5 + 3 + 2 + 3) x 4 = 52

Multiple Choice

A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?

• 5 x 3 x 4 = 60

• 5 + 3 + 4 = 12

Multiple Choice

If Angelo has 12 T – shirts , 6 pairs of pants and 3 pairs of shoes, how many possibilities can he dress himself up for the day ?

• 72

• 16

• 216

• 720

Multiple Choice

If I use the fundamental counting principle, how many different outcomes are there if I flip 4 different 2-sided coins?

• 8, because 4 x 2 = 8

• 6, because 4 + 2 = 6

• 16, because 2 x 2 x 2 x 2 = 16

• 256, because 4 x 4 x 4 x 4 = 256

Multiple Choice

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

• 15

• 40

• 80

• 10

Multiple Choice

A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?

• 5 x 3 x 4 = 60

• 5 + 3 + 4 = 12

Multiple Choice

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

• 7 because 2 + 3 + 2

• 12 because 2 x 3 x 2

Multiple Choice

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

• 15

• 40

• 80

• 10