Name___________________________
_____ Day 1:
_____ Day 2:
_____ Day 3:
_____ Day 4:
_____ Day 5:
_____ Day 6:
_____ Day 7:
_____ Day 8:
_____ Day 9:
_____ Day 10:
_____ Day 11:
Fraction Review WS p. 449-450 (1, 2, 3, 5-8, 10, 13, 15, 16)
p. 465 (1, 2, 8-14, 16-22 even)
Chapter 9 Probability WS
Quiz 9-1 & King’s Birthday WS p. 480-481 (1-9, 11, 13, 14) p. 484 (1–12)
9-7/9-8 Packet
Quiz 9-2
Hour_________
p. 469-470 ( 1, 3, 7, 9, 10, 13-18a, 19) p. 449 (2, 3, 8) p. 465 (17, 19, 21) p. 469 (1, 3, 6, 11) p. 484-485 (1, 4, 5, 20)
_____ Day 12: p. 460 (1-4, 6, 7) p. 491-492 (5, 8, 9, 10, 15) p. 493 (3, 6-10)
_____ Day 13: Chapter 9 TEST
1

Pre-Algebra Day 1
Fraction Review Notes

Adding & Subtraction o Need a common denominator o Add/Subtract numerator ONLY
Examples.

1
2

3
10
1.
5
8

2
8
2.
3.
7
11

10
11
4.

Multiplying o Reduce at diagonals o Multiplying across (both top and bottom)
Examples.
1.
4
5

3
7
3. 
5

2
12 9
HW: Fraction Review WS
2.
4.

4

9
2
3
2
9

3
10

3
8

11
13

2
9
2

Pre-Algebra Day 2
Sec 9-1 Notes
Define.
Probability:
Sample Space:
*The probabilities in a sample space must add up to 1.
Never
Happens
Fraction:
Happens About
Half the Time
Decimal:
Percent:
Example 1.
The weather forecast shows a 40% chance of rain.
Outcome
Probability
Rain No Rain
Example 2.
R G
Outcome
B B
Probability
B G
Blue
Always
Happens
Green Red
3

Example 3.
A quiz contains 5 multiple-choice questions. Suppose you guess randomly on every question. The table below gives the probability of each score.
Score 0 1 2 3 4 5
Outcome 0.237 0.396 0.264 0.088 0.014 0.001 a) What is the probability of guessing one or more correct? b) What is the probability of guessing fewer than 2 correct? c) What is the probability of not guessing 3 correct?
Example 4
Six students are in a race. Ken’s probability of winning is 0.2. Lee is twice as likely to win as Ken. Roy is
1
as likely to win as Lee. Tracy, James, and Kadeem
4 all have the same chance of winning. Create a table of probabilities for the sample space.
Racer
Ken
Lee
Roy
Tracy
Probability
James
Kadeem
HW: p. 449-450 (1, 2, 3, 5-8, 10, 13, 15, 16)
4

Pre-Algebra Day 3
Sec 9-4 Notes
2 types of Probability:
*Experimental – actual outcomes based on an experiment
*Theoretical  assume outcomes are equally likely
***Do Coin and Die Activity
The more times you repeat an experiment, the closer the experimental probability and theoretical probability become.
TOSS A PENNY 20 TIMES.
1. Record your results with a tally in the table below.
Heads Tails
3.
2. What is the theoretical probability of:
Tossing Heads? ________
What is your experimental probability of:
Tossing Heads? ________
Tossing Tails? _______
Tossing Tails? _______
4. How close are your experimental probabilities to the theoretical probabilities?
ROLL A NUMBER CUBE 20 TIMES.
5. Record your results with a tally in the table below.
1 2 3 4 5 6
8.
6.
7.
What is the theoretical probably of rolling a:
1? _____ 2? _____ 3? ______ 4? _____ 5? _____ 6? ______
What is your experimental probability of rolling a:
1? _____ 2? _____ 3? ______ 4? _____ 5? _____ 6? ______
How close are your experimental probabilities to the theoretical probabilities?
5

Probability is defined as: # of favorable outcomes
Total # of possible outcomes
 Example 1
An experiment consists of rolling a fair die. a) How many possible outcomes are there? b) What is the probability of rolling a 4? c) What is the probability of rolling an even number? d) What is the probability of rolling a number less than 5?
 Example 2 (look at p. 463 in your text book)
An experiment consists of rolling two fair dice.
Sample Space
Sample Space a) How many possible outcomes are there? b) P(rolling doubles)? c) P(sum of the roll will be 10)? d) P(rolling a sum of 5 or 6)?
 Example 3
An experiment consists of rolling one fair die and flipping a coin. Sample Space a) P(heads) b) P(even and tails) c) P(prime number)
HW: p. 465 (1, 2, 8-14, 16-22 even)
6

Pre-Algebra Day 4
Sec 9-5 Notes
The counting principle is used to calculate the “number” of times an outcome can occur.
Set-Up:
The # of ways one activity can be performed
X The # of ways a second activity can be performed
= Totally # of ways both activities can be performed
Different examples of the counting principle
1.
Kelly has 6 shirts and 4 coordinating pants. How many possible shirt-pants outfits can she put together?
2.
Four dice are rolled. How many outcomes are possible?
3.
How many outcomes are possible when you toss a coin and then roll two dice?
Use the chart below to answer questions 4-5.
Main Color Trim Color Frame Size Tire Size
Blue
Green
Red
White
Black
Yellow
19 in.
21 in.
23 in.
24 in.
26 in.
4.
Janis plans to buy a bike. How many combinations are possible with a choice of one main color, one trim color, one frame size and one tire size?
5.
Janis decides to buy a green bike. How many combinations are now possible?
7

There are _______ letters in the alphabet.
6.
Radio stations in the United States must have call letters that begin with either K or W.
How many four-letter sets of call letters are possible?
8.
Using the Counting Principle to Find Probability
There are _______ digits to choose from when writing a number.
7.
A computer randomly creates a 5-character password by using 2 letters followed by 3 digits. a.
Find the number of possible outcomes. b.
Find the probability of being assigned the password MQ836. c.
Find the probability of a password that does not contain an A.
How many different 4-letter words are possible using the letters of median? Letters can only be used once. a. Find the number of possible words that can be made. b.
Find the probability of spelling the word Dean? c. Find the probability of spelling a 4-letter word that does not contain the letter D?
HW: p. 469-470 ( 1, 3, 7, 9, 10, 13-18a, 19)
8

Pre-Algebra Day 7
Sec 9-7 Notes
Independent Events: the occurrence of one event does not affect the probability of the other.
Example 1.
Think about first rolling a die and then spinning the spinner. a.
P(2, green) b.
P(even, yellow)
Y
B
Y
Y
B
G
G
BL
R BL
G Y c.
P(not 4, not BL)
Example 2.
Think about placing 6 marbles in a bag and mixing them up. Without looking, you pick the first marble, put it back in, then draw a second marble. a.
P(green, blue) b.
P(yellow, not green)
Y
G
Dependent Events: the occurrence of one does affect the probability of the other
Example 3.
Suppose a marble is chosen at random from the box below. A second marble is chosen without replacing the first. Find each probability. a.
P(w, w) b.
P(b, b) c.
(b, w)
9

Example 4.
Three coins will be chosen from the group below. Each coin is not replaced. a.
P(d, d, d)
25 10
25 b.
P(d, n, q) 10
5
10
5
10
5
5
Example 5.
Determine whether the event is independent or dependent. a.
Choosing shoes and a shirt from the closet. b.
Anna draws two cards from a deck without replacing the first. c.
Drawing a name out of the hat, placing it on a desk, and then drawing a second.
HW: p. 480-481 (1-9, 11, 13, 14)
10

Pre-Algebra Day 8
Sec 9-8 Notes
Probability Odds
:

Complete the chart.
Probability
1
4
Odds Reduce (if possible)
6
24
56
1000
4 : 16
15: 100
11

1.
The probability of winning a free dinner is
1
. What are the odds in favor of winning a
20 free dinner?
2.
If the odds in favor of winning a CD player in a school raffle are 1:49, what is the probability of winning a CD player?
3.
The probability of winning a door prize is
1
. What are the odds against winning a
10 door prize?
4.
In a club raffle, 1,000 tickets were sold, and there were 25 winners. What are the odds against winning this raffle?
HW: p. 484 (1–12)
12

Pre-Algebra Day 11
Review Notes
* Probability adds up to 100% or 1.
- p.449 (2, 3, 8)
* Probability can be found using a sample space.
- p. 465 (17, 19, 21)
* To write a probability without a sample space, you need to find the total outcomes by using the Counting Principle.
- p. 469 (1, 3, 6, 11)
* Spinner
Probability of A or B (spin once) –1 Probability
Probability of A, B (spin twice) –2 Probabilities
 spin once
P (A) __________
P (C or B) __________
 spin twice
P (A, B) __________
P (C, A or C) __________
- p. 484-485 (1, 4, 5, 20)
A
B
B
C
B
C
13

Pre-Algebra Day 12
Review Notes
Probability.
1.
An experiment consists of drawing 4 marbles from a bag and counting the number of blue marbles. The table below gives the probability of each outcome.
# of Blue Marbles 0 1 2 3 4
Probability 0.024 0.238 0.476 0.238 0.024 a.
What is the probability of drawing at least 3 blue marbles? b.
What is the probability of drawing fewer than three marbles?
Theoretical Probability.
2.
Use the spinner below to find the probabilities. b.
c.
a.
P(3)=
P(6)=
P(5)=
3
6
5
3
6
3
Fundamental Counting Principal.
3.
The license plate to the right has 3 digits followed by 3 letters. All license plates are equally likely. a.
Find the number of possible license plates. b.
Find the probability of not being assigned a plate containing A or B. c.
Find the probability of being assigned a plate with all odd numbers.
HW: p. 460 (1-4, 6, 7), p. 491-492 (5, 8, 9, 10, 15), & p. 493 (3, 6-10)
14