Compound Probabilities

Compound Events

100

How many steps does the following action involve? Spin a spinner twice

2

200

How many steps does this outcome have? (2,1,5,4,3)

5

300

Is the following event independent or dependent? Pick a person for a group, then pick another person.

Dependent

400

Is the following event independent or dependent? Pick two different letters from the alphabet

Dependent

500

A person can order a new car with a choice of 8 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or without a CD player. How many steps are needed to purchase a car if you select one option from each category?

5

Sample Spaces

100

How many different ways can you write the letters of the word RED?

6

200

Two friends at a restaurant each order a fruit drink. The available flavors are orange, peach, or kiwi. Write a list to represent the sample space of the friends' fruit drinks.

OO KO OP KP OK KK PO PP PK

300

Three friends at a restaurant each order a different flavored fruit drink. The available flavors are orange, mango, and kiwi. Write an organized list to represent the sample space of the friends' fruit drinks.

OMK OKM MOK MKO KOM KMO

400

Two friends each choose a slice of pizza with one topping. They do not want to have the same toppings on their pizza slices. The topping choices are pepperoni, bacon, ham, and mushrooms. Write an organized list to represent the sample space of topping combinations.

PB HP PH HB PM HM BP MP BH MB BM MH

500

Anita forgot the last two digits for her bicycle lock. She remembers that each digit is 1 through 5. How many pairs of digits are there? How many possible combinations are there if she remembers that the first digit is either a 3, 4, or 5?

part 1: 25 Part 2: 15

Counting Outcomes

100

A restaurant offers 4 different appetizers and 12 different main course. How many ways can a person order a two-course meal?

48 ways

200

The owner of a stereo store wants to advertise that he has many different sound systems in stock. The store carries 6 different CD players, 7 different receivers, and 10 different speakers. A sound system consists of one of each item. How many different sound systems can the store owner advertise?

420

300

A person can order a new car with a choice of 8 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or without a CD player. In how many different ways can a new car be ordered with regard to these options?

128 ways

400

In a bag of marbles, there are 3 blue, 3 red, and 4 green. You pick three marbles out of the bag, one at a time without replacement. How many ways can you pick two red marbles first and one blue marble last?

18 ways

500

You are going to make a password using 4 of the letters followed by 3 of the digits shown below. Without repeating letters or digits, how many different passwords can you make? How many passwords can you make that begin with the letter D? T G M F E D S 4 7 2 6 5 3

Part 1: 100,800 Part 2: 14,400

Theoretical Probabilities

100

A fair coin is tossed two times, the outcomes are HH, HT, TH, TT. What is the probability of getting exactly zero heads?

1/4

200

List the outcomes for rolling a number cube and then tossing a coin. What is the probability of spinning a number greater than 1 and tossing a head?

2/5

300

You are picking a vowel (a,e,i,o, and u) and then a number (1,2, or 3). What is the probability of choosing an O and a 3?

1/15

400

A coin is tossed two times. After tossing the coin 200 times, the results are the following: HH: 59 HT: 35 TH: 48 TT: 58 For which compound event is the result closest to the result predicted by theoretical probability?

TH

500

You have a spinner with 4 sections on it, red, blue, green, and yellow. You also have a coin. You do an experiment and find the following results: RH: 6 RT: 9 BH: 4 BT: 5 GH: 7 GT: 4 YH: 2 YT: 8 What is the theoretical probability of spinning a blue and tossing a tails? What is the experimental probability of spinning a blue and tossing a tails?

Part 1: 1/8 Part 2: 1/9

Review

100

Ms. Adams needs to buy some cat food. At the nearest store, 5 bags of cat food costs $26.25. How much would Ms. Adams spend on 3 bags of cat food?

$15.75

200

A recipe includes 9 cups of flour and 3/4 c of buttermilk. Write the ratio of the amount of flour to the amount of buttermilk as a fraction in simplest form.

12:1 or 12/1 or 12

300

11.0 - (-2.3)

13.3

400

Last year the Rubics cube club had 5 members. This year, there are 9 members in the club. What is the percent change in the number of members in the club? (include increase or decrease)

80% increase

500

Use the formula F =9/5C + 32 to convert -35 degrees Celsius to Fahrenheit.

-31 degrees Fahrenheit