# Sample space + theoretical probability

Sample space/theoretical probability
Schedule:
• Learning goals
• Sample space
• Theoretical probability
• Work
• Bamboozle?
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Slide 1: Slide
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This lesson contains 14 slides, with text slides.

Lesson duration is: 60 min

## Items in this lesson

Sample space/theoretical probability
Schedule:
• Learning goals
• Sample space
• Theoretical probability
• Work
• Bamboozle?

#### Slide 1 -Slide

Learning goals
At the end of this lesson I can:
•  List the sample space for different situations
• Calculate the theoretical probability of an event

#### Slide 2 -Slide

Sample space
S is the event that I roll a 6 on a fair die.

1. Find P(S)
2. List the sample space of rolling a fair die

#### Slide 3 -Slide

Sample space
S is the event that I roll a 6 on a fair die.

1. P(S) =                   17%

2. {1, 2, 3, 4, 5, 6}

61=0,17=

#### Slide 4 -Slide

Sample space
The Sample space = the set of possible outcome.
You use curly brackets to write the sample space.

Sample space of a coin toss :

#### Slide 5 -Slide

Sample space
What is the sample space for this spinner?

#### Slide 6 -Slide

Sample space
In Dungeons and Dragon you use multiple different dice:
- 4 sided dice
- 6 sided dice
- 8 sided dice
- 10 sided dice
- 12 sided dice
- 20 sided dice
Find the sample space for all these different dice
Challenge:
Event A = "rolling a 1 with a 4 sided dice"
Event B = "rolling a 1 with a 6 sided dice"
Event C = "rolling a 1 with a 8 sided dice"
Etc.
Calculate the probability for events A, B, C, D, E, F
(Write P(A) = .......)

#### Slide 7 -Slide

Sample space
What is the sample space for rolling 2 dice at the same time?

Sample space
1
2
3
4
5
6
1
(1, 1)
2
3
4
5
6

#### Slide 9 -Slide

Theoretical probability
In some situations the possible outcomes are all equally likely:

#### Slide 10 -Slide

Theoretical probability
In some situations the possible outcomes are all equally likely:

#### Slide 11 -Slide

Extra practice + help
p. 333 : 17C             1, 3bef
p. 335: 17D              1, 2, 4, 6, 7
Read example 4 on p. 337
p. 337: 17D                 13

#### Slide 12 -Slide

Extra practice
p. 333 : 17C             2, 3, 4
p. 335 : 17D             3, 4, 6, 8, 9, 12
Read example 4 on p. 337
p. 337: 17D               14, 15

#### Slide 13 -Slide

Challenge
p. 335-338              6-16
ManageBac > Files > Unit 6: probability > Sample spaces worksheet