Sample Space and Outcomes

Vocabulary

• Experiment - Activity in which results are observed

Each observation

Each result

The set of all possible outcomes of an experiment

• Sample space -

• Outcome -

• Trial -

Impossible Certain

0 1

Even chance

12

Unlikely Likely

Probabilities never have values less than 0 or more than 1 (remember 100 % is the same as 1 whole).

Roll a 7 on a number cube

Win the lottery Roll a 3

on a number cube

Girls going shopping

Sun rise

Experiment Sample Space

For the experiment to be fair or equally likely, the outcome has to be the same size

flipping a coin heads, tails

rolling a number cube 1, 2, 3, 4, 5, 6

whole numbersguessing the number of marbles in a jar

Outcome is the predicted result of an event

Outcomes – ( Red, Orange , purple, yellow, green)

2. Spin this spinner

1. Roll a die – outcomes (1,2,3,4,5,6)

3. Toss a coin – outcomes (heads, tails)

Sample space is the ordered listing of all possible outcomes.

3. List the possible outcomes if you toss a penny twice.

Toss one

H

T

Toss Two

HT

HT

Outcomes

HH, HT, TTTH,

This is a tree diagram

4. Find the possible outcomes for the following dinner menu. Use a tree diagram

Entrée Salad Dessert

Pizza Caesar Chocolate cake

Spaghetti House Apple Pie

Biscotti

Entrée SaladDessert

Pizza

Spaghetti

Caesar

House

Caesar

House

CakePieBiscotti

CakePieBiscotti

Outcomes

PCBPCP

PHCPHPPHBSCCSCPSCBSHCSHPSHB

PCC

CakePieBiscotti

CakePieBiscotti

5. Finding the total number of outcomesA. Total outcomes if you toss a penny twice.

Toss one Toss Two

2 2X = 4B. Find the possible outcomes for the following dinner menu. Use a tree diagramEntrée Salad Dessert

Pizza Caesar Chocolate cake

Spaghetti House Apple Pie

Biscotti

2 2 3X X = 12

Vocabulary

Activity in which results are observed

Each observation

Each result

The set of all possible outcomes of an experiment

Sample Space and Outcomes

Date ________________________

Experiment Sample Space

Outcome is the predicted result of an event

2. Spin this spinner

1. Roll a die –

3. Toss a coin

Sample space is the ordered listing of all possible outcomes.

3. List the possible outcomes if you toss a penny twice.

Toss one Toss TwoOutcomes

4. Find the possible outcomes for the following dinner menu. Use a tree diagram

Entrée Salad Dessert

Pizza Caesar Chocolate cake

Spaghetti House Apple Pie

Biscotti

Entrée Salad Dessert

Outcomes

5. Finding the total number of outcomesA. Total outcomes if you toss a penny twice.

Toss one Toss Two

B. Find the possible outcomes for the following dinner menu. Use a tree diagramEntrée Salad Dessert

Pizza Caesar Chocolate cake

Spaghetti House Apple Pie

Biscotti