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Page 1: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

Z

Page 2: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

Z

Scissors Paper Stone

Scissors beats paper (cuts it)

Paper beats rock (wraps it)

Rock beats scissors (blunts it)

Showing the same is a draw

You will play the game 10 times against me

Every time you win put a tally mark. Ties don’t count

Is it a fair game?

Page 3: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

Scissors Paper Stone

Player A

Scissors

Paper

Rock

Z

Page 4: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

Scissors

Paper

Rock

Scissors

Paper

Rock

Scissors

Paper

Rock

Scissors

Paper

Rock

Draw

I Win

You Win

You Win

Draw

I Wins

I Win

You Win

Draw

3/9 =

Z

1/3

That means that theoretically you should have won 10 times.

Page 5: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

S

P

R

S

P

R

S

P

R

S

P

R

SS

SP

SR

PS

PP

PR

RS

RP

RR

Z

OUTCOMES

How many outcomes are possible? 9

How many outcomes have Rock as a possibility? 5

What is the probability of one or more player selecting a Rock? 5/9

Page 6: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

Practice Writing Outcomes

tree diagram pictures.docx

Page 7: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

PROBLEM: On Whiteboard How many options are there of

picking a number from 1 to 5 and choosing the color red, white, or blue

First write a list down the paper of the first part

1

2

3

4

5

Page 8: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

PROBLEM: How many options are there of

picking a number from 1 to 5 and choosing the color red, white, or blue

Now determine how many options there are for the second item

There are 3 options:Red

WhiteBlue

Page 9: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

PROBLEM: How many options are there of picking a

number from 1 to 5 and choosing the color red, white, or blue

Draw “branches” off of each number. One for each second item, in this case 3.

1

2

3

4

5

Page 10: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

PROBLEM: How many options are there of picking a

number from 1 to 5 and choosing the color red, white, or blue

At the end of each branch, write one of the three options from the 2nd items given.

1

2

3

4

5

RWB

RWB

RWB

RWB

RWB

Page 11: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

PROBLEM: How many options are there of picking a

number from 1 to 5 and choosing the color red, white, or blue

Write your outcomes

1

2

3

4

5

RWB

RWB

RWB

RWB

RWB

1R1W1B

2R2W2B

3R3W3B

4R4W4B

5R5W5B

Page 12: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

PROBLEM: How many options are there of picking a number from 1 to 5 and choosing the

color red, white, or blue

There are a total of 15 total choices listed

Page 13: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

Videos

Tree Diagram Resources.docx

Page 14: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

Your turn!Please do on your own paper.

Do not move forward until teacher checks your work.

1. Give the total number of outcomes of choosing a hamburger, hot dog, or chicken and potato salad, coleslaw, or beans. Use a tree diagram.

Page 15: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

PROBLEM: 1.Give the total number of outcomes of choosing a hamburger, hot dog, or chicken and potato salad, coleslaw, or beans. Use a tree diagram.

Answer:

Hamburger

Hot dog

chicken

potato salad

potato salad

potato salad

beans

beans

beans

coleslaw

coleslaw

coleslaw

Page 16: Z. Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)  Showing the same is a draw

PROBLEM: 2. What is the chance of having a hot dog? Write in fraction form.

Answer:– First find out how many total options there are. Here there

are a total of nine choices. This is your denominator.

– Next find out how many options have a hot dog. Here there are a total of three choices. This is your numerator.

– Finally, put the fraction in simplest form.

The answer is 3/9 and then simplified is 1/3