

Sample Space and Likelihood
Presentation
•
Mathematics
•
6th - 8th Grade
•
Hard
Joseph Anderson
FREE Resource
9 Slides • 9 Questions
1
Probability
Lesson 1: Sample Space
2
Probability Vocabulary
Outcome: is any one of the possible outcomes in an action
Sample Space: set or list of all possible outcomes.
Event: the action taking place
3
4
Sample Space
This is a list of ALL possible outcomes in a probability event.
We display this by:
making lists, tables, and tree diagrams to determine the probability of simple or compound events.
5
Multiple Select
What are the possible outcomes for tossing a coin?
Heads
Faces
Tails
Badge
6
Multiple Choice
What are ALL the possible outcomes of spinning this spinner?
{ Red, Yellow, Blue}
{Yellow, Blue, Green}
{Red, Yellow, Blue, Purple}
{Red, Yellow, Blue, Green}
7
Common Events in Probability
Flipping a Coin [or multiple coins]
Spinning a Spinner
Selecting a card from a Deck of playing cards
pulling a marble from a bag
8
How do you determine Sample Space?
Determine how many outcomes are in each action.
Ex: Flipping a coin has 2 outcomes
Either Heads or Tails
9
Multiple Choice
You are rolling a die. How many sides are on a die?
2
4
6
8
10
Multiple Choice
The Sample Space for rolling a Die is...
Sample Space: { 1, 2, 3, 4}
Sample Space: { 1, 2, 3, 4, 5}
Sample Space: { 1, 2, 3, 4, 5, 6}
Sample Space: { 1, 2, 3, 4, 5, 6, 7}
11
Let's determine the sample space of tossing a coin AND rolling a number cube.
Coin: {Heads or Tails}
Number Cube: {1,2,3,4,5 or 6}
12
Multiple Choice
How many possible outcomes or combinations can we get if we toss a coin, and roll a number cube?
6 total outcomes
8 total outcomes
14 total outcomes
12 total outcomes
13
Multiple Choice
How many different ways can we toss a head, and roll a 6?
1 times
2 times
12 times
6 times
14
How do you find the total number of Outcomes?
Fundamental Counting Principle
15
F.C.P.
Determine how many ways or outcomes an event has.
Determine this for each action
Ex: rolling a pair of dice
Die 1 has 6 outcomes: {1,2,3,4,5,6}
Die 2 has 6 outcomes: {1,2,3,4,5,6}
Multiply the two outcome totals together
6 x 6 = 36
16
Multiple Choice
What is the total number of outcomes for...
Tossing 3 coins
2 x 3 = 6
2 x 2 x 2 = 8
3 x 3 = 9
17
Multiple Select
Select ALL that Apply:
We can use _______ to find the total number of outcomes
a tree diagram
a list
a table
The fundamental Counting Property
18
Poll
How do you feel about this topic so far?
I do not understand
I slightly understand, but need more help
I think I got it
I understand this!
Probability
Lesson 1: Sample Space
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