Probability, Combinations and Arrangements

Basic Probability

100

A number cube is rolled. Find the probability. P(5)

1/6

200

A number cube is rolled. Find the P(not 3).

5/6

300

A number cube is rolled. Find P(4 or 6)

1/3

400

A number cube is rolled. Find the P(multiple of 2)

1/2

500

You have the letter cards P-O-T-T-E-R and a number cube. What is the probability of pulling a "T" and rolling an odd? P(T and odd)

1/6

Advanced Probability

100

Using the word Mississippi, what is the probability of choosing the letter i?

4/11

200

You will roll a number on a number cube. Express in words and numbers.

Certain. 1

300

If you flip a coin four times, what is the probability of getting "tails" four times in a row?

1/8

400

You roll a number cube and then spin a spinner with 8 sections, each with a different color. The spinner has the colors yellow, gray, white, orange, red, violet, green, and purple. What is the probability of rolling an odd number and spinning green?

1/16

500

You have the letter cards P-O-T-T-E-R and a number cube. What is the probability of drawing a vowel and rolling a number less than 5?

2/9

Tree Diagram

100

How many outfits are possible from a choice of jeans or khaki shorts and a choice of a yellow, white, or blue shirt? Use a tree diagram.

6

200

What are the possible outcomes of apple, peach or cherry pie with milk, juice or tea

6

300

Draw a tree diagram to represent all possible outcomes for rolling two number cubes.

36

400

Draw a tree diagram to represent all possible choices at Subway. Bread: White, Wheat, Italian Meat: Ham, Turkey, Roast Beef Cheese: American, Swiss, Provolone

27

500

Draw a tree diagram to show all possible choices for picking a team uniform. Colors: Red, Gold, White, Blue Designs: Striped, Solid, Checked

12

Combinations

100

A store sells jackets. They offer them in four sizes: small, medium, large, and X-large; and each size is available in five colors: red, green, blue, yellow, and pink. How many types of the jacket do they sell?

20

200

What are all the possible choices at Subway? Bread: White, Wheat, Italian Meat: Ham, Turkey, Roast Beef Cheese: American, Swiss, Provolone Condiments: Lettuce, Tomato, Onion

108

300

Nine friends decided to form a baseball team just for fun. There are nine different positions in baseball, and all nine friends can play all nine positions. How many ways can the players arrange themselves into the nine positions?

362,880

400

What are all your possible locker combinations? (0-39)

60,840

500

How many possible meals could you order at McDonald's? Sandwiches: Big Mac, McChicken, Cheeseburger, McDouble, Premium Chicken, McRib, Southern Style Chicken Sides: Fries, Apples Drinks: Coke, Diet Coke, Sprite, Orange, Dr. Pepper Desserts: McFlurry, Apple Pie, Parfait

210

Arrangements

100

How many ways can you arrange these four digits? 2 5 8 3

24

200

How many ways can 2 video games be chosen from 5 video games?

20

300

How many ways can a person choose to watch two television shows from four television shows?

12

400

How many ways can you arrange five books on a shelf?

120

500

If there are 11 students in the Spelling Bee, how many different ways can they finish?

39,916,800