1. Unit 5
Probability

2. Anchor Activity NDA GAMES DAY
You and a partner will create a game involving some form of probability.
You will need to have rules (explained)
What are the possible outcomes?
How does a player win a game?
What probabilities are important to know? Justify your response.
What strategies might you use to increase your chance of winning? Justify your response.
Speed Gaming will occur
If you lose you pay the other player 5 dollars (fake money)
This will occur over 2 days.
Teams that collect the most money over 2 days will a trophy!!

4. EXAMPLES OF PROBABILITY GAMES
Anchor Activity
EXAMPLES OF PROBABILITY GAMES
Don’t roll the number (use table)
Is it a match? (Page 194) – counters (red/blue), cups

5. Probability What is the probability of rolling the number 2 on a dice?
Student Outcome: I will be able to write probabilities as ratios, fractions and percents.
Probability: is the likelihood or chance of an event occurring.
Outcome: any possible result of a probability event.
Favourable Outcome: a successful result in a probability event.
(ex: rolling the #1 on a die)
Possible Outcome: all the results that could occur during a probability
event (ex: rolling a die - - #1, #2, #3, #4, #5, #6)
P = Favourable Outcomes
Possible Outcomes
What is the probability of rolling the number 2 on a dice?
What is the favourable outcome?
How many possible outcomes?

6. How to express probability
Student Outcome: I will be able to write probabilities as ratios, fractions and percents.
Probability can be written in 3 ways...
As a fraction = 1/6
As a decimal = 0.16
As a percent
0.16 x 100% = 16%
How often will the
number 2 show up
when rolled?

7. Determine the probability
Student Outcome: I will be able to write probabilities as ratios, fractions and percents.
First you must find the possible outcomes (all possibilities)
and then the favourable outcomes (what you’re looking for).
Then place them into the probability equation.
Rolling an even number on a die?
Pulling a red card out from a deck of cards?
Using a four colored spinner to find green?
Selecting a girl from your class?
P = Favourable Outcomes
Possible Outcomes

8. Determine the probability
Student Outcome: I will be able to write probabilities as ratios, fractions and percents.
A cookie jar contains 3 chocolate chip, 5 raisin, 11 Oreos,
and 6 almond cookies. Find the probability if you were to
reach inside the cookie jar for each of the cookies above.
Type of Cookie
Chocolate Chip
Raisin
Oreo
Almond
Fraction
Decimal
Percent
Ratio

9. Determine the probability
Student Outcome: I will be able to write probabilities as ratios, fractions and percents.
A cookie jar contains 3 chocolate chip, 5 raisin, 11 Oreos,
and 6 almond cookies. Find the probability if you were to
reach inside the cookie jar for each of the cookies above.
Type of Cookie
Chocolate Chip
Raisin
Oreo
Almond
Fraction
3/25
5/25
11/25
6/25
Decimal
0.12
0.25
0.44
0.24
Percent
12%
25%
44%
24%
Ratio
3:25
5:25
11:25
6:25

10. Determine the probability
Page
3, 5,10, 11, 12
9 3, 4, 7, 8, 10
1, 4, 6, 7, 8

14. Letter tiles for the word CINCINNATI are placed in a bag.
Show Me What You Know#1
Letter tiles for the word CINCINNATI are placed in a bag.
What is the probability of drawing the letter C?
What is the probability of drawing the letter N?
What is the probability of drawing the letter O?

15. Organized Outcomes Independent Events:
Student Outcome: I will be able to create a sample space involving 2 independent events.
Independent Events:
The outcome of one event has no effect on the outcome of another event
Example:
ROCK
PAPER
SCISSOR
Tails Head

16. Chart Sample Space: All possible outcomes of an event/experiment
Student Outcome: I will be able to create a sample space involving 2 independent events.
Sample Space:
All possible outcomes of an event/experiment
(all the combinations)
coin
hand
What is the probability of Paper/Head?
What is the probability of tails showing up?
Sample Space
Head
Tail
Rock
Paper
Scissor

17. “Tree Diagram” to represent Outcomes
Student Outcome: I will be able to create a sample space involving 2 independent events.
H T
Coin Flip
R P S R P S
Rock, Paper, Scissor
H, Rock T, Rock
H, Paper T, Paper
H, Scissor T, Scissor
Outcomes

18. “Spider Diagram” to represent Outcomes
Student Outcome: I will be able to create a sample space involving 2 independent events.
Rock
Rock
Paper
Paper
Scissor
Scissor

19. Organized Outcomes You can find the sample space of two independent
Student Outcome: I will be able to create a sample space involving 2 independent events.
You can find the sample space of two independent
events in many ways.
Chart
Tree Diagram
Spider Diagram
Your choice, but showing one of the above
illustrates that you can find the favourable and
possible outcomes for probability.

20. Organized Outcomes Page 169-170 1, 12, 13 10 1, 5, 7, 9, 12
, 5, 7, 9, 12
1, 4, 5, 7, 8

25. Probabilities of Simple Independent Events
Student Outcome: I will learn about theoretical probability.
Random:
an event in which every outcome has an equal chance of
occurring.
Problem:
A school gym has three front stage doors (left, center, right) and two back
stage doors (left, right). During a school play, an actor can enter
through one of the five doors. The next actor to enter any door can
be either a boy or a girl. Use a “Tree Diagram” to show the sample
space.
What is the P (probability) that a boy will enter a front
center door?

26. Probabilities of Simple Independent Events
Student Outcome: I will learn about theoretical probability.
Random:
an event in which every outcome has an equal chance of
occurring.
See Page 172 for your “Tree Diagram” of the school gym
doors!

27. Using a Table to DETERMINE Probabilities
Student Outcome: I will learn about theoretical probability.
How to determine probabilities:
Probability (P) = favourable outcomes
possible outcomes
= decimal x 100%
Use your results from the “tree diagram” of the gym doors
and place them into a chart. Then determine the
probabilities for the chart.

28. Using a Table to DETERMINE Probabilities
Student Outcome: I will learn about theoretical probability.
Determine the probability for the school stage door and boy/girl scenario using a chart sample space.
How would this look? Complete this in your workbok.

29. Using a Table to DETERMINE Probabilities
Student Outcome: I will learn about theoretical probability.
Back Left (BL)
Back Right
(BR)
Left Stage
(LS)
Centre Stage (CS)
Right Stage
(RS)
Boy
B-BL
B-BR
B-LS
B-CS
B-RS
Girl
G-BL
G-BR
G-LS
G-CS
G-RS
Determine the probability for the scenarios below...
1. Of a boy using any right door?
2. Of anyone (boy or girl) using a stage door?
3. Of a girls using any of the doors?

30. Determine Probabilities
Page
13, 14, 15
, 6, 11, 13
3, 4, 6, 9,

37. Rolling a 4 sided die and flipping a quarter.
Practical Quiz #2
On the front of the paper:
Draw a sample space using a chart for the following events.
On the back of the paper:
Draw a sample space using a tree diagram for the following events.
Rolling a 4 sided die and flipping a quarter.

38. Applications of Independent Events
Student Outcome: I will learn about theoretical probability.
Let’s play “Sit & Save?”
(page 177)
RULES:
Stand up at the beginning of the round.
Two dice are rolled each round. You may collect the sum of your dice as long as a “6” does NOT appear. A “6” means all numbers before are cancelled and you get zero for that round.
After each roll you have two choices
Continue standing and roll again…hoping for no “6” OR
Sit and collect your total points!

39. Applications of Independent Events
Student Outcome: I will learn about theoretical probability.
How can you win at the game of “Sit & Save?”
Who had the highest score?
What is the possibility of a 6 appearing with 2 dice? (sample data)
Use the numbers above for each player to find who had the best probability (percent) of not rolling a 6.
Round 1
Round 2
Round 3
Round 4
Round 5
Total

40. Round 1
Round 2
Round 3
Round 4
Round 5
Total
Round 1
Round 2
Round 3
Round 4
Round 5
Total

41. Student Outcome: I will learn about theoretical probability.
Interpret Outcomes
Student Outcome: I will learn about theoretical probability.
Use Tree Diagrams, Charts or other graphic organizers to solve
probability problems.
What are the 2 independent events?
What is the probability of the sum of these 2 events adding up to total “4”…
What is the probability of outcome having one 3 appear?

42. Student Outcome: I will learn about theoretical probability.
Interpret Outcomes
Student Outcome: I will learn about theoretical probability.
What is the probability of red appearing?
What is the possibility of a black and green appearing?
3. What is the possibility of brown mirror appearing?

43. Interpret Independent Outcomes
Page
9, 10, 11
7 3, 8, 9,
3, 5, 6,

49. The expected probability of an event occurring.
Theoretical vs. Experimental Probabilities
Student Outcome: I will be able to compare experimental and theoretical probability.
What are the chances of a boy and girl picking the same number
from Try this 10 times and tally your results (experimental).
Then compare to your “theoretical” answer.
experimental
The probability of an event occurring based on experimental results. A tally chart will be required.
Boy
Girl
The expected probability of an event occurring.
Theoretical 1 2 3 4 5
Boy B1 B2 B3 B4 B5
Girl G1 G2 G3 G4 G5

50. Theoretical vs. Experimental Probabilities
Student Outcome: I will be able to compare experimental and theoretical probability.
You must complete 2 of the 3 activities listed.
For each activity you must compare the theoretical and experimental
probabilities. Each experimental probability must be done 50 times.
Then compare to your “theoretical” answer.
Activities
Flipping a coin and using a spinner.
Rolling one 6-sided die and dropping a cup.
Rolling two 6-sided dice.

51. Theoretical vs. Experimental Probabilities
Student Outcome: I will be able to compare experimental and theoretical probability.
Activities
Flipping a coin and using a spinner.
SPINNER
Coin
OUTCOMES
TALLY’S
H-R
H-B
H-G
H-Y
T-R
T-B
T-G
T-Y
RED
BLUE
GREEN
YELLOW
HEADS
H-R
H-B
H-G
H-Y
TAILS
T-R
T-B
T-G
T-Y

52. Theoretical vs. Experimental Probabilities
Student Outcome: I will be able to compare experimental and theoretical probability.
Activities
2. Rolling one 6-sided die and dropping a cup.
Die
Cup
OUTCOME
NUMBER 1 2 3 4 5 6 Up U1 U2 U3 U4 U5 U6
Down D1 D2 D3 D4 D5 D6
Side S1 S2 S3 S4 S5 U1 U2 U3 U4 U5 U6 D1 D2 D3 D4 D5 D6 S1 S2 S3 S4 S5 S6

53. Theoretical vs. Experimental Probabilities
Student Outcome: I will be able to compare experimental and theoretical probability.
Activities
3. Rolling two 6-sided dice.
Die #1
Die #2
Outcome
Number 1 2 3 4 5 6
1-1
1-2
1-3
1-4
1-5
1-6
2-1
2-2
2-3
2-4
2-5
2-6
3-1
3-2
3-3
3-4
3-5
3-6
4-1
4-2
4-3
4-4
4-5
4-6
5-1
5-2
5-3
5-4
5-5
5-6
6-1
6-2
6-3
6-4
6-5
6-6
1-1
1-2
1-3
1-4
1-5
1-6
2-1
2-2
2-3
2-4
2-5
2-6
3-1
3-2
3-3
3-4
3-5
3-6
4-1
4-2
4-3
4-4
4-5
4-6
5-1
5-2
5-3
5-4
5-5
5-6
6-1
6-2
6-3
6-4
6-5
6-6

54. Theoretical vs. Experimental Probabilities
Page
7, 9, 11
6 3, 9, 11
1, 3, 4, 8,

61. Practical Quiz #3
When these two independent event are done at the same time, What is the probability of getting:
a)anything with red?
b) orange-tails?

62. Are your ready to be TESTED on “Probability?”
We have covered a lot of material in this unit. Do you have any
concerns or questions about any of the topics below?
Representing probability in different ways… (Pg. 158)
Types of sample spaces to find the probability (Pg )
Explain how to identify an independent event.
Determine the outcomes of two independent events. (Pg. 172)
Find the sum of different events…which sample space would be best to use?
Solve multiple probabilities… P(1,B) or P(Girls, Boys, 6)
Use diagrams to interpret data and probabilities. (Pg )
Compare experimental to theoretical probabilities. (Pg. 184)
Outcome – any possible result of a probability experiment.
Favourable Outcome – a successful result in a probability experiment.
Probability – the likelihood of an event happening.
Random – when every result has an equal chance of occurring.
Sample Space – all possible outcomes of a probability experiment.
Tally Chart – an area to record information during experimental probability.

63. Are your ready to be TESTED on “Probability?”
We have covered a lot of material in this unit. Do you have any
concerns or questions about any of the topics below?
Representing probability in different ways… (Pg. 158)
Types of sample spaces to find the probability (Pg )
Explain how to identify an independent event.
Determine the outcomes of two independent events. (Pg. 172)
Find the sum of different events…which sample space would be best to use?
Solve multiple probabilities… P(1,B) or P(Girls, Boys, 6)
Use diagrams to interpret data and probabilities. (Pg )
Compare experimental to theoretical probabilities. (Pg. 184)

64. Chapter Review
Page 190 – 191
#1-14

67. Handout playing field to students and dice.
Game – Baseball Dice
Handout playing field to students and dice.