Compound Probability

by RIS Mathematics Gr7

| 35 Questions DUE THURSDAY!!

How can you find the number of possible outcomes of one or more events? (Please write this in your notes, along with the Math Practices from the activity today)

1

1

Nick and Casey are playing darts on the above board that has five regions labeled A, B, C, D and E.

In which of the regions is a dart least likely to fall?

E

F...?

A

C

B

D

2

1

Explain why you chose your answer to Question 1?

3

1

Jamal is planning a picnic to take place on Sunday. The weather report says there is a 40% chance of overcast skies, a 30% chance of sunshine, a 20% chance of hail and a 10% chance of rain. Based on this forecast, which statement below is true?

Rain is more likely than hail on Sunday.

Hail is more likely than overcast skies on Sunday.

Hail or rain is more likely than overcast skies on Sunday.

Overcast skies are more likely than hail or rain on Sunday.

4

1

Peter Piper picked a pickled pepper out of a pepper jar. If the probability of drawing a pickled pepper was 2/5, how many total peppers could be in the jar (psst. you can't have a half of a pepper)?

2

7

8

10

12

5

1

Which of the following experiments does not have equally likely outcomes?

Choosing a number between 20–100 that is a factor of 4 and 6.

Choose a letter at random from the alphabet.

Tossing a 6-sided die.

None of them do...

6

1

In an experiment it was found that 20 out of 50 bean plants died when placed in certain soil. What was the probability that an individual bean plant died?

7

1

This lock has 3 wheels. Each wheel is numbered from 0 to 9.

There are ____ possible outcomes for the first wheel.

8

1

This lock has 3 wheels. Each wheel is numbered from 0 to 9.

There are ____ possible outcomes for the second wheel.

9

1

This lock has 3 wheels. Each wheel is numbered from 0 to 9.

There are ____ possible outcomes for the third wheel.

10

1

This lock has 3 wheels. Each wheel is numbered from 0 to 9.

The least three-digit combination possible is ______.

11

1

This lock has 3 wheels. Each wheel is numbered from 0 to 9.

The greatest three-digit combination possible is ______.

12

1

This lock has 3 wheels. Each wheel is numbered from 0 to 9.

How many possible combinations are there?

13

1

This lock has 3 wheels. Each wheel is numbered from 0 to 9.

How can you use multiplication to determine the number of possible combinations?

I added the possible outcomes together

I multiplied the possible outcomes together

I found the difference in the possible outcomes

I divided the possible outcomes

14

1

This lock has 4 wheels.

Wheel 1: 0–9

Wheel 2: A–J

Wheel 3: K–T

Wheel 4: 0–9

How many possible combinations are there?

15

1

Create a secure password... psst, don't tell anyone... The password has to contain 5 digits, including both numbers and letters. Write the password below:

16

1

Using your new, secure password, determine the probability that I would guess your password below on the first try.

17

1

This lock is numbered from 0 to 39. Each combination uses three numbers in a right, left, right pattern. How many possible combinations are there?

18

1

Sooo..... what's a Sample Space? Write a description below as well as in your notes.

19

1

What's a quicker way of finding the number of different kinds of pizzas you could get?

Add the options together

Subtract the options

Divide the options

Multiply the options

Fundamental Counting Principal

20

1

In your own words, how would you explain the Fundamental Counting Principal to your mom?

21

1

How many different outfits can you make from the T-shirts, jeans, and shoes in the closet above? Use the F.C.P. (Fundamental Counting Principal)

Compound Events

You flip three nickels. What is the probability of flipping two heads and one tails? Look at the tree diagram below to find out.

22

1

How many possible outcomes are there to flipping a coin three times?

8

6

27

3

23

1

What is the probability of flipping two heads and one tails?

12.3%

2/9

1/9

3/8

40%

37.5%

24

1

What is the probability of flipping three tails in a row? Write your answer as a fraction.

25

1

Tabatha’s closet contains 5 shirts and 3 pairs of pants. Draw a tree diagram below to represent all possible combinations of outfits.

26

1

A true-false quiz has five questions. You can answer the quiz in different ways. Describe and correct the error above in using the Fundamental Counting Principle to find the total number of ways that you can answer the quiz.

27

1

Two cubes, each numbered 1–6, are thrown. What is the probability their sum will be 7? (Use the table of sums above, or draw your own, to help determine the answer.)

28

1

If you toss a coin and spin the spinner, what is the probability of heads and red?

29

1

LIFE HACK!! You randomly guess the answers to two questions on a multiple-choice test. Each question has three choices: A, B, and C. What is the probability that you guess the correct answers to both questions? Answer as a fraction.

30

1

Your model train has one engine and eight train cars. Find the total number of ways you can arrange the train. (The engine must be first.)

31

1

Jamie can choose to go to school in a number of ways. By making three or fewer turns, how many different routes can he take?

32

1

From a group of 5 candidates, a committee of 3 people is selected. In how many different ways can the committee be selected?

33

1

Leon uses squares to make a board. He randomly throws a stoneonto the board.

What is the probability the stone lands on a space marked 3?

34

1

Leon uses squares to make a board. He randomly throws a stoneonto the board.

What is the probability the stone lands on a space marked 2?

35

1

Leon uses squares to make a board. He randomly throws a stoneonto the board.

What is the probability the stone lands on a space marked 1?

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