Sample space + theoretical probability

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

Sample space/theoretical probability 

Schedule: 

• Learning goals 
• Sample space
• Theoretical probability 
• Work 
• Bamboozle? 

Learning goals 

At the end of this lesson I can:

•  List the sample space for different situations
• Calculate the theoretical probability of an event

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

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} 

​6​​1​​=0,17=

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 :

Sample space 

What is the sample space for this spinner? 

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) = .......) 

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

Theoretical probability 

In some situations the possible outcomes are all equally likely: 

Theoretical probability 

In some situations the possible outcomes are all equally likely: 

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

                                  

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

                                  

Challenge

p. 335-338              6-16

ManageBac > Files > Unit 6: probability > Sample spaces worksheet