Finding Probabilities of Compound Events

FCP and Independent Compound Probability

Multiple Choice

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.  How many different 1-scoop ice cream cones can a customer order? 

• 34
• 2
• 3
• 93

Multiple Choice

A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there if you cannot reuse a number?

• 40
• 5040
• 6561
• 10,000

Multiple Choice

A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there?

• 40
• 5040
• 6561
• 10,000

Multiple Choice

A team of 8 basketball players needs to choose a captain and co-captain.

• 64
• 56
• 15
• 40,320

Multiple Choice

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

• 19
• 84
• 60
• 210

Multiple Choice

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

• 12
• 7
• 223
• 64

Multiple Choice

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

Multiple Choice

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

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

If you roll two dice, how many possible outcomes?

• 360
• 1
• 36
• 12

Multiple Choice

If you roll a die then flip a coin, how many possible outcomes?

• 2

• 6

• 12

• 64

Multiple Choice

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16
• 1 ⁄ 2
• 1 ⁄ 4
• 1 ⁄ 8

Multiple Select

Jared is going to perform an experiment where he spins each spinner once. What is the probability that the first spinner will land on A, the second spinner will land on an even number and the third spinner will land on BLUE?

• ¹/₈

• ¹/₂₄

• ¹/₁₂

• ¹/₂₄

Multiple Choice

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 3/100
• 1/2
• 1/6
• 1/8

Multiple Choice

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3
• 5/36
• 1/9
• 1/36

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

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

To find the probability of 2 or more events, you have to ________ the probability of each event.

• multiply

• divide

• add

• subtract

Multiple Choice

What is the probability of choosing a red marble, replacing it, and then choosing a blue marble? simplify your answer (solve using a dry erase or paper)

*hint: "and" means to multiply*

• 3 out of 50

• 6 out of 100

• 3 out of 100

• 2 out of 20

Multiple Choice

Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill, 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp? 

• 5/24
• 11/30
• 2/75
• 7/60

Multiple Choice

A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails? 

• 17/26
• 1/13
• 5/13
• 5/26

Multiple Choice

What is the chances of rolling a six on the first roll of a 1-6 number cube and rolling an odd number on the second roll of the same cube.

• 1/12

• 1/6

• 1/8

• 1/2

Multiple Choice

A bag has 6 black checkers and 4 red checkers.

Find the probability of drawing a black checker from a bag , replacing it, and drawing another black checker.

• 2/3

• 9/25

• 2/5

• 3/5