Sample Space and Likelihood

Probability

Lesson 1: Sample Space

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

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.

Multiple Select

What are the possible outcomes for tossing a coin?

• Heads

• Faces

• Tails

• Badge

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}

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

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

Multiple Choice

You are rolling a die. How many sides are on a die?

• 2

• 4

• 6

• 8

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}

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}

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

Multiple Choice

How many different ways can we toss a head, and roll a 6?

• 1 times

• 2 times

• 12 times

• 6 times

How do you find the total number of Outcomes?

Fundamental Counting Principle

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

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

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

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!