1. Round percents to the tenth.
5 Minute Check
A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 1. P(S) 2. P(I) 3. P(S, B or I) 4. P(not D)
Round percents to the tenth.

2. 5 Minute Check
A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 1. P(S)

3. 5 Minute Check
A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 1. P(S) = 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐟𝐚𝐯𝐨𝐫𝐚𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐩𝐨𝐬𝐬𝐢𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 = 𝟏 𝟗 = 11.1%

4. 5 Minute Check
A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 2. P(I)

5. 5 Minute Check
A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 2. P(I) = 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐟𝐚𝐯𝐨𝐫𝐚𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐩𝐨𝐬𝐬𝐢𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 = 𝟑 𝟗 = 𝟏 𝟑 =33.3%

6. 5 Minute Check
A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 3. P(S, B or I)

7. 5 Minute Check
A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 3. P(S, B or I) = 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐟𝐚𝐯𝐨𝐫𝐚𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐩𝐨𝐬𝐬𝐢𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 = 𝟓 𝟗 = 55.6%

8. 5 Minute Check
A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 4. P(not D)

9. 5 Minute Check
A letter tile is chosen randomly. What is the probability (fraction and percent) of the event? 4. P(not D) = 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐟𝐚𝐯𝐨𝐫𝐚𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐩𝐨𝐬𝐬𝐢𝐛𝐥𝐞 𝐨𝐮𝐭𝐜𝐨𝐦𝐞𝐬 = 𝟖 𝟗 = 88.9%

10. Monday, April 24
Outcomes

11. Objective: To find the probability of a specific outcome to an event.
Outcomes
Objective: To find the probability of a specific outcome to an event.

12. A sample space is the set of all possible outcomes to an event.

13. Outcomes
A tree diagram is a diagram used to show the total number of possible outcomes.

14. Outcomes
A tree diagram is a diagram used to show the total number of possible outcomes. A tree diagram is an organized list of all possible outcomes.

15. Outcomes
A tree diagram is a diagram used to show the total number of possible outcomes. A tree diagram is an organized list of all possible outcomes. With a tree diagram the probability of an event occurring can easily be determined.

16. Each branch on a tree diagram represents a possible outcome.
Outcomes
Each branch on a tree diagram represents a possible outcome.

17. Outcomes
Each tree diagram must have columns for first event options, second event options, and outcomes.

18. Outcomes
All probabilities should be given as a fraction and percent (rounded to the tenth).

19. Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the first event?

20. Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the first event? The first coin toss.

21. Write this in your notes
Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times?
Head
Tail
Write this in your notes

22. Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the second event?
Head
Tail

23. Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the second event? The second coin toss.
Head
Tail

24. Write this in your notes
Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times?
Head
Head
Tail
Head
Tail
Tail
Write this in your notes

25. Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times? What are the possibilities?
Head
Head
Tail
Head
Tail
Tail

26. Write this in your notes
Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times?
Head
Head, Head
Head
Tail
Head, Tail
Head
Tail, Head
Tail
Tail
Tail, Tail
Write this in your notes

27. Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times? What is the number of favorable outcomes?
Head
Head, Head
Head
Tail
Head, Tail
Head
Tail, Head
Tail
Tail
Tail, Tail

28. What is the number of favorable outcomes?
If we were to toss a fair coin twice what is the probability it would land on heads both times?
What is the number of favorable outcomes?
Number of favorable outcomes Number of possible outcomes = 𝟏 ?
Head
Head, Head
Head
Tail
Head, Tail
Head
Tail, Head
Tail
Tail
Tail, Tail

29. What is the number of possible outcomes?
If we were to toss a fair coin twice what is the probability it would land on heads both times?
What is the number of possible outcomes?
Number of favorable outcomes Number of possible outcomes = 𝟏 ?
Head
Head, Head
Head
Tail
Head, Tail
Head
Tail, Head
Tail
Tail
Tail, Tail

30. What is the number of possible outcomes?
If we were to toss a fair coin twice what is the probability it would land on heads both times?
What is the number of possible outcomes?
Number of favorable outcomes Number of possible outcomes = 𝟏 𝟒
Head
Head, Head
Head
Tail
Head, Tail
Head
Tail, Head
Tail
Tail
Tail, Tail

31. What is the probability as a percent?
Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times?
What is the probability as a percent?
Number of favorable outcomes Number of possible outcomes = 𝟏 𝟒
Head
Head, Head
Head
Tail
Head, Tail
Head
Tail, Head
Tail
Tail
Tail, Tail

32. What is the probability as a percent?
Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times?
What is the probability as a percent?
Number of favorable outcomes Number of possible outcomes = 𝟏 𝟒 = 25%
Head
Head, Head
Head
Tail
Head, Tail
Head
Tail, Head
Tail
Tail
Tail, Tail

33. Outcomes
If we were to toss a fair coin twice what is the probability it would land on heads both times?
Would the probability change if there were two coins and they were tossed at the same time?

34. Outcomes
Each spinner is spun once. Construct a tree diagram to represent all the possible outcomes.

35. Outcomes
Each spinner is spun once. Construct a tree diagram to represent all the possible outcomes. How many outcomes for the first event?

36. Outcomes
Each spinner is spun once. Construct a tree diagram to represent all the possible outcomes.
red
orange
purple

37. Outcomes
Each spinner is spun once. What is the probability of both spinners landing on red? How many outcomes for the second event?
red
orange
purple

38. Outcomes
Each spinner is spun once. What is the probability of both spinners landing on red?
red
blue
yellow
green
red
orange
purple

39. Outcomes
Each spinner is spun once. What is the probability of both spinners landing on red? What is the probability of both spinners landing on red?
red
blue
yellow
green
red
orange
purple

40. Outcomes
Each spinner is spun once. What is the probability of both spinners landing on red? What is the probability of both spinners landing on red?
red
blue
yellow
green
red
orange
purple
The probability is 𝟏 𝟏𝟐 = 8.3%

41. Outcomes
A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability.

42. Outcomes
A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability.
What are the possible outcomes of the first event?

43. Outcomes
A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability.
even
heads
1 6 1 2 3 4 5 6
· =
tails
1 6

44. What are the possible outcomes of the second event?
A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability.
even
heads
1 6 1 2 3 4 5 6
· =
tails
1 6
What are the possible outcomes of the second event?

45. How many favorable outcomes are there?
A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability.
even
How many favorable outcomes are there?
heads
1 6 1 2 3 4 5 6
· =
tails
1 6

46. What is the probability?
Outcomes
A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability.
even
What is the probability?
heads
1 6 1 2 3 4 5 6
· =
tails
1 6
Favorable outcome

47. What is the probability? 𝟏 𝟏𝟐 or 8.3%
Outcomes
A coin and die are tossed. What is the probability of the tails and a 3? Make a tree diagram to represent the probability.
even
What is the probability?
heads
1 6 1 2 3 4 5 6
· =
𝟏 𝟏𝟐 or 8.3%
tails
1 6
Favorable outcome

48. Outcomes
There are two bags, each with a blue, red and white marble. Construct a tree diagram to determine the probability of picking a red marble from the first bag and blue from the second bag. Do this on your own.

49. Outcomes
There are two bags, each with a blue, red and white marble. Construct a tree diagram to determine the probability of picking a red marble from the first bag and blue from the second bag.
1st Event nd Event
blue
red
white
𝟏 𝟗 or 11.1%
1 3
blue
red
white
1 3
1 3
1 3
blue · = 1 9
red
white
Favorable outcome
1 3
1 3
blue
red
white

50. Probability
List the possible combinations if you picked two from a soft drink, a popcorn, and a candy bar. Do this on your own.

51. Outcomes
What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? Do this on your own.

52. Outcomes
What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? What are the short options?

53. Outcomes
What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt?
jean (j)
khaki(k)

54. Outcomes
What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? What are the shirt options?

55. Outcomes
What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt?
yellow (y)
jean (j) white (w)
blue (b)
khaki(k) white (w)

56. blue (b) khaki/blue(kb)
Outcomes
What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt?
yellow (y) jean/yellow (jy)
jean (j) white (w) jean/white (jw)
blue (b) jean/blue(jb)
yellow (y) khaki/yellow(ky)
khaki(k) white (w) khaki/white(kw)
blue (b) khaki/blue(kb)

57. Outcomes
What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? What is the probability of randomly picking khaki shorts and a yellow shirt?

58. Outcomes
What are all possible outfits from a choice of jean or khaki shorts, and a choice of yellow, white or blue shirt? What is the probability of randomly picking khaki shorts and a yellow shirt? 𝟏 𝟔 = 16.7%

59. Outcomes
List the possible combinations if you picked two from a soft drink, a popcorn, and a candy bar. Do this on your own.

60. Outcomes
List the possible combinations if you picked two from a soft drink, a popcorn, and a candy bar. Soft drink/popcorn Soft drink/candy bar Popcorn/soft drink Popcorn/candy bar Candy Bar/soft drink Candy Bar/popcorn

61. Outcomes
List the possible combinations if you picked two from a soft drink, a popcorn, and a candy bar. Soft drink/popcorn Soft drink/candy bar Popcorn/soft drink Popcorn/candy bar Candy Bar/soft drink Candy Bar/popcorn

62. Outcomes
You order a hamburger and can pick from four toppings. List the possible combinations if you picked two from ketchup, mustard, tomato and onion. Do this on your own.

63. Outcomes
You order a hamburger and can pick from four toppings. List the possible combinations if you picked two from ketchup, mustard, tomato and onion.
ketchup/mustard
ketchup/tomato
ketchup/onion
mustard/tomato
mustard/onion
tomato/onion

64. Probability
List the possible combinations if you picked two from a soft drink, a popcorn, and a candy bar.
Soft drink/popcorn
Soft drink/candy bar
Popcorn/soft drink
Popcorn/candy bar
Candy Bar/soft drink
Candy Bar/popcorn

65. Outcomes
Agenda Notes – Homework – No Homework Work on MobyMax until the end of class. Probability Test Wednesday, May 3 The day before Star Wars Day!