Resources

Resources

Probability of simple events

Apples are on sale for

\text{per kilogram}

. Is the total cost of the apples proportional to the total mass?

\newline

1

\newline

1

\newline

(Choice A) Yes A Yes

\newline

(Choice B) No B No

You pick a card at random.

\newline

1234

\newline

P(1)

\newline

Write your answer as a percentage.

\newline

\_\_\_\%

You pick a card at random.

\newline

2345

\newline

P(4)

\newline

Write your answer as a percentage.

\newline

\_\_\_\%

You pick a card at random.

\newline

1234

\newline

P(4)

\newline

Write your answer as a percentage.

\newline

\_\_\_\%

At the town flea market, Monica purchases a big box of used tennis balls to throw to her dog. She scoops some tennis balls out of the box at random. Here are the colors of the balls:

\newline

yellow, blue, yellow, red, green, blue, yellow, red, yellow, green, yellow, red, green

\newline

Based on the data, what is the probability of choosing a yellow tennis ball from the box?

\newline

Write your answer as a fraction or whole number.

\newline

\_\_

Henry bought an electric guitar which was advertised at

\$ 1280

excluding GST. If the GST rate was

7\%

\newline

(a)the amount of GST he paid

\newline

(b) the price of the guitar inclusive of GST.

8

-minute long game, a professional video game player performed a total of

2,400

actions. What is the player's average number of actions per minute?

\newline

1

\newline

30

\newline

160

\newline

300

\newline

400

You've decided you want a plant for your room. At the gardening store, there are

4

different kinds of plants (tulip, fern, cactus, and ficus) and

4

different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).

\newline

If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?

You're at a clothing store that dyes your clothes while you wait. You get to pick from

4

pieces of clothing (shirt, pants, socks, or hat) and

3

colors (purple, blue, or orange).

\newline

If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with an orange hat?

You're playing a game where you defend your village from an orc invasion. There are

3

characters (elf, hobbit, or human) and

5

defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.

\newline

If you randomly choose your character and tool, what is the probability that you'll be a magic elf?

You're at a clothing store that dyes your clothes while you wait. You get to pick from

4

pieces of clothing (shirt, pants, socks, or hat) and

3

colors (purple, blue, or orange).

\newline

If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with socks that aren't blue?

10

people on a basketball team, and the coach needs to choose

5

to put into a game. How many different possible ways can the coach choose a team of

5

if each person has an equal chance of being selected?

\newline

You flip a coin.

\newline

P(\text{tails})

\newline

Write your answer as a percentage.

\newline

\_\_\_\_\%

Taub has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at

\$ 32

, before discount and tax. After the discount, and before tax, the price is

\$ 29.12

. Find the percent discount.

\newline

\%

Mariam invests money in an account paying simple interest. She invests

\$ 160

and no money is added or removed from the investment. After one year, she has

\$ 166.40

. What is the simple percent interest per year?

\newline

Answer: _________

\%

Adriel invests money in an account paying simple interest. He invests

\$ 150

and no money is added or removed from the investment. After one year, he has

\$ 159

. What is the simple percent interest per year?

\newline

Answer: __________

\%

Malik invests money in an account paying simple interest. He invests

\$ 30

and no money is added or removed from the investment. After one year, he has

\$ 30

30

. What is the simple percent interest per year?

\newline

\%

Myesha rolls a standard six-sided die, numbered from

1

6

. Which word or phrase describes the probability that she will roll a

1

\newline

an equal chance or

50

-50

\newline

\newline

\newline

A multiple choice exam consists of

30

multiple choice questions, with

5

possible answers per question. Assuming that you randomly select an answer for each question, what is the probability that you get exactly

15

16

17

questions correct?

The stock of Company A gained

\$ 1.30

throughout the day and ended at a value of

\$ 53.30

. By what percentage did the stock rise?

\newline

The stock of Company A gained \$\(0\).\(21\) throughout the day and ended at a value of \( \$ 3.71 \). By what percentage did the stock rise?\(\newline\)Answer:

The stock of Company A lost

\$ 4.86

throughout the day and ended at a value of

\$ 103.14

. By what percentage did the stock decline?

\newline

A clothing warehouse that houses

14,000

garments must replace all damaged and lost garments. If

1.5\%

of the garments were damaged and

0.6\%

of the garments were lost, how many garments must the warehouse replace?

\newline

1

\newline

84

\newline

126

\newline

210

\newline

294

2019

, the population of the City of Detroit was approximately

670

thousand. The land area of the City of Detroit is approximately

138.7

square miles. Which of the following is closest to the population density of the City of Detroit in

2019

in people per square mile of land area?

\newline

1

\newline

5

\newline

207

\newline

4,831

\newline

92,929

8

-minute long game, a professional video game player performed a total of

2,400

actions. What is the player's average number of actions per minute?

\newline

1

\newline

30

\newline

160

\newline

300

\newline

400

1

24

students in a class. Every month, Nia's teacher randomly selects

4

students from their class to act as class president, vice president, secretary, and treasurer. No one student can hold two positions.

\newline

In a given month, what is the probability that Nia is chosen as president?

\newline

1

\newline

\frac{1}{{ }_{24} \mathrm{P}_{4}}

\newline

\frac{1}{{ }_{24} \mathrm{C}_{4}}

\newline

\frac{{ }_{23} \mathrm{P}_{3}}{{ }_{24} \mathrm{P}_{4}}

\newline

\frac{\left({ }_{24} \mathbf{P}_{1}\right) \cdot\left({ }_{24} \mathrm{P}_{3}\right)}{{ }_{24} \mathrm{P}_{4}}

15

performers, of which

5

\newline

What is the probability that a randomly selected performer will be a clown? Write your answer as a fraction or whole number.

\newline

P(\text{clown}) =