z. z scissors paper stone scissors beats paper (cuts it) paper beats rock (wraps it) rock beats...

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

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?

Scissors Paper Stone

Player A

Scissors

Paper

Rock

Z

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.

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

Practice Writing Outcomes

tree diagram pictures.docx

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

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

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

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

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

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

Videos

Tree Diagram Resources.docx

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.

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

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