1. Outcome G

2. Order the fractions from least to greatest

3. Order the fractions from least to greatest

4. Likelihood Certain Most Likely Likely Unlikely Impossible
Rate the following:
The sun will rise tomorrow
Ms. McCue will be president in 2080
Ms. Vant will teach Science next year.
It will rain on April
Jenny’s average bowling score is She will score 250 on her next game.

5. Likelihood Certain Most Likely Likely Unlikely Impossible
Rate the following:
The sun will rise tomorrow Certain
Ms. McCue will be president in 2080 Impossible
Ms. Vant will teach Science next year. Most Likely
It will rain on April Likely
Jenny’s average bowling score is She will score 250 on her next game. Unlikely

6. Using a fraction bar, assign percents and fractions to the terms certain, most likely, likely, unlikely and impossible.

7. Using a fraction bar, assign percents and fractions to the terms certain, most likely, likely, unlikely and impossible.
Impossible
Unlikely
Likely
Most Likely
Certain
0 4
1 4
1 2
3 4 1
100%
75% 0%
25%
50%

8. Probability of rolling two dice
How many total outcomes? ___________
What are the chances to roll a 5?
________ _______ ______
What are the chances to roll a 12?
Which number has the best chance to be rolled? __________
Fraction Reduced Fraction Percent
Fraction Reduced Fraction Percent

9. Probability of rolling two dice
How many total outcomes? 36
What are the chances to roll a 5? %
What are the chances to roll a 12? %
Which number has the best chance to be rolled? 7
Fraction Reduced Fraction Percent

10. Use the Spinner to determine the probability of:
P(not 4 or 5)
P(even)

11. Use the Spinner to determine the probability of:
P(not 4 or 5) 6/8 3/4 75%
P(even) 4/8 ½ 50%
3/ ¼ %

12. Sample Sets A sample set shows all of the outcomes.
You can use an organized chart, a list or a tree diagram

13. An event consists of spinning the spinner shown here and rolling a standard number cube.
How many different outcomes are there?
What is the probability of the spinner landing on green?
What is the probability of rolling an even number on the number cube?
What is the probability of the spinner landing on green AND an even number being rolled?
What is the probability of the spinner landing on green OR an even number being rolled?

14. An event consists of spinning the spinner shown here and rolling a standard number cube.
How many different outcomes are there? 18
What is the probability of the spinner landing on green? 1/3
What is the probability of rolling an even number on the number cube? 1/2
What is the probability of the spinner landing on green AND an even number being rolled? 1/6
Explain how the probability you found in Step 4 is related to the two probabilities you found in Steps 2 and 3?

15. Make a Tree Diagram to show the outcomes

19. Fundamental Counting Principle
Gina, Maria, Rebecca are looking for a male science partner. They can choose from Henry, Frank, Vince, Sonjay, or Joey. How many different partnerships can be made?
Set up your problem like this:
__________ x ___________ = ____________
Number of Females Number of Males Total Partnerships

20. Fundamental Counting Principle
Gina, Maria, Rebecca are looking for a male science partner. They can choose from Henry, Frank, Vince, Sonjay, or Joey. How many different partnerships can be made?
Set up your problem like this:
__________ x ___________ = ____________ 3 5 15
Number of Females Number of Males Total Partnerships

21. Fundamental Counting Principle
Three dice will be thrown. How many different outcomes are there?
Set up your problem like this:
________ X __________ X ___________ = ____________
# of sides on a dice # of sides on a dice # of sides on a dice Total Outcomes

22. Fundamental Counting Principle
Three dice will be thrown. How many different outcomes are there?
Set up your problem like this:
________ X __________ X ___________ = ____________ 6
216 6 6
Number of sides on a dice Number of sides on a dice Number of sides on a dice Total Outcomes

23. Fundamental Counting Principle
One coin will be flipped, One 10-sided dice will be thrown and another coin will be flipped. How many different outcomes are there?
Set up your problem like this:
________ X __________ X ___________ = ____________
# of sides on a coin # of sides on a dice # of sides on a coin Total Outcomes

24. Fundamental Counting Principle
One coin will be flipped, One 10-sided dice will be thrown and another coin will be flipped. How many different outcomes are there?
Set up your problem like this:
________ X __________ X ___________ = ____________ 2 2 10 40
Number of sides on a coin Number of sides on the dice Number of sides on a coin Total Outcomes

25. Fundamental Counting Principle
How many outfits can be made from a brown skirt, red skit, or a plaid skirt, and a white blouse or a grey blouse, and sandals, heels or flats Set up your problem: Lines and words

26. Fundamental Counting Principle
How many outfits can be made from a brown skirt, red skit, or a plaid skirt, and a white blouse or a grey blouse, and sandals, heels or flats
Set up your problem:
________ X __________ X ___________ = ____________ 3 2 3 18
Number of Skirts Number of Shirts Number of shoes Total Outfits

27. Calculate the Theoretical Probability (fraction AND percent rounded to the nearest whole percent)
If I was going to reach in the box and grab a cupcake, what is the theoretical probability that I would pick Thomas the Tank Engine?
What is the theoretical probability that I would pick Hello Kitty?
Why do these two answers add up to 100%?
What is the theoretical probability that I will choose to wear the floral skirt with the white blouse?
What is the theoretical probability that I will not choose the floral skirt, but I will wear the black blouse.
Hint! Create a sample set to answer 5 and 6!

28. Calculate the Theoretical Probability (fraction AND percent rounded to the nearest whole percent)
If I was going to reach in the box and grab a cupcake, what is the theoretical probability that I would pick Thomas the Tank Engine? 7/ %
What is the theoretical probability that I would pick Hello Kitty? 5/ %
Why do these two answers add up to 100%? Share your answer with your neighbor
What is the theoretical probability that I will choose to wear the floral skirt with the white blouse? 1/24 4%
What is the theoretical probability that I will not choose the floral skirt, but I will wear the black blouse. 5/24 21%

29. What is the probability of each of the following events when two fair number cubes are rolled?
p(7 or 10)
P(not a 6)
P(odd number)
P(even number)
P(higher than 10)
(should you include 10?)
6. If three number cubes are rolled, what is the chance of rolling triple 3’s?

30. What is the probability of each of the following events when two fair number cubes are rolled?
p(7 or 10) 1/4
P(not a 6) 31/36
P(odd number) 1/2
P(even number) 1/2
P(higher than 10) 1/12
(should you include 10?)
If three number cubes are rolled, what is the chance of rolling triple 3’s?
1/216

31. The theoretical probability of spinning a red is 1/6 or I should spin a red 17% of the time.
When I ran the experiment, my experimental probability was 5/18 or 28%.
How many times did I run the experiment?
How many times did I get the desired results (red)?
Why are the TP and the EP different percentages?
How many times should I expect to spin a red, based on the EP, if I ran the experiment 40 times?

32. How many times did I run the experiment? 18
The theoretical probability of spinning a red is 1/6 or I should spin a red 17% of the time.
When I ran the experiment, my experimental probability was 5/18 or 28%.
How many times did I run the experiment? 18
How many times did I get the desired results? 5
Why are the TP and the EP different percentages?
Talk to your neighbor about it
What is EP of spinning a red if I ran the experiment 40 times? 11

33. Experimental Probability
When the students came in my room, 18 were wearing blue jeans and 6 were wearing shorts. What is the chance that the next person that comes in will be wearing blue jeans? Gwen eats Cheerios for breakfast 4 out of every 5 days. How many days do you think Gwen ate Cheerios in April? Marcus made his free throws 20 out of 25 times. What is the chance he will make the next free throw?

34. Experimental Probability
When the students came in my room, 18 were wearing blue jeans and 6 were wearing shorts. What is the chance that the next person that comes in will be wearing blue jeans? 18/24 or 3/4 Gwen eats Cheerios for breakfast 4 out of every 5 days. How many days do you think Gwen ate Cheerios in April? 24 days Marcus made his free throws 20 out of 25 times. What is the chance he will make the next free throw? 80%

35. Find the Theoretical Probability
Answer as a fraction
p(green)
P(blue)
P(not green)
P(not blue or green)
Answer as a percent
P(white)
P(not white)
P(solid)
P(zebra or solid)
P(polka dot)

36. p(green) 5/12
P(blue) 1/3
P(not green) 7/12
P(not blue or green) 1/4
P(white) 40%
P(not white) 60%
P(solid) 60%
P(zebra or solid) 100%
P(polka dot) 0%

37. Experimental Probability
I rolled the dice 50 times, here are my results.
Number 1 2 3 4 5 6
Times Rolled 12 8 10 9
Based on my results, if I rolled the dice 84 times, how many times would I expect to roll a 1?
What about 5?
Based on my results, if I rolled the dice 300 times, how many times would I expect to roll a 3?
What about 5 or 6?

38. Experimental Probability
I rolled the dice 50 times, here are my results.
Number 1 2 3 4 5 6
Times Rolled 12 8 10 9
Based on my results, if I rolled the dice 84 times, how many times would I expect to roll a 1? 20 times
What about 5? 8 times
Based on my results, if I rolled the dice 300 times, how many times would I expect to roll a 3? 48 times
What about 5 or 6? 84 times

39. Experimental Probability
I rolled the dice 50 times, here are my results.
Number 1 2 3 4 5 6
Times Rolled 10 7 8 12
Based on my results, if I rolled the dice 150 times, how many times would I expect to roll a 1?
What about 4?
Based on my results, if I rolled the dice 90 times, how many times would I expect to roll a 3?
What about 5 or 6?

40. Experimental Probability
I rolled the dice 50 times, here are my results.
Number 1 2 3 4 5 6
Times Rolled 10 7 8 12
Based on my results, if I rolled the dice 150 times, how many times would I expect to roll a 1? 30 times
What about 4? 24 times
Based on my results, if I rolled the dice 90 times, how many times would I expect to roll a 3? 18 times
What about 5 or 6? 27 times

41. On which spinner (one or two) are the chances equally likely
On which spinner (one or two) are the chances equally likely? What is the chance (written as a fraction and percent)
Describe the chances (fraction) of spinning each section on spinner two ~ your denominator will NOT always be four. What will it be?
Gold:
Orange:
Blue:
Grey:
How many outcomes are on spinner 2? Are the outcomes equally likely? Why/why not?

42. On which spinner (one or two) are the chances equally likely
On which spinner (one or two) are the chances equally likely? What is the chance (written as a fraction and percent) ¼ and 25%
Describe the chances (fraction) of spinning each section on spinner two ~ your denominator will NOT always be four. What will it be?
Gold: ¼ 25%
Orange: ¼ 25%
Blue: 1/ %
Grey: 3/ %
How many outcomes are on spinner 2? Are the outcomes equally likely? Why/why not? 8. Not equally likely bc there is a greater chance of spinning grey than blue. Grey has 3/8 of the circle, blue has 1/8 of the circle. 1. 2.

43. Can you determine different meal choices there are?
A three course dinner can be made from the following items:
Appetizer: soup or salad
Entrée: Steak, chicken, or fish
Dessert: Carrot cake or cheese cake
Make a sample space (list, tree or chart) to show all of the possible menu combinations