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# Tree Diagrams Grade B 26-Sep-12 - PowerPoint PPT Presentation

Tree Diagrams Grade B 7-Jun-14. LO: Draw and use a tree diagram to find conditional probabilities. Z. Scissors Paper Stone. Z. Create the following table to complete as you play Play the game 30 times Add up your tally for the Total

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LO: Draw and use a tree diagram to find conditional probabilities.

Z

• Create the following table to complete as you play

• Play the game 30 times

• Fill in the 3 probabilities (these are the Total / 30)

• Use the calculator these into convert these into decimals

• Scissors beats paper (cuts it)

• Paper beats stone (wraps it)

• Stone beats scissors (blunts it)

• Showing the same is a draw

Is it a fair game?

Z

Can you find a way to calculate the probabilities of the game using a tree diagram?

Scissors

1/3

Paper

1/3

1/3

Stone

Player A

AND: x

OR: +

Z

Draw

1/3 x 1/3 =

1/9

AND

Scissors

1/3

1/9

A Wins

1/3 x 1/3 =

Scissors

Paper

1/3 x 1/3 =

B Wins

1/9

1/3

1/3

OR

Stone

1/3

B Wins

1/3 x 1/3 =

1/9

Scissors

1/3

1/9

Draw

1/3 x 1/3 =

Paper

1/3

Paper

1/3

1/3 x 1/3 =

A Wins

1/9

1/3

Stone

1/3

1/9

A Wins

1/3 x 1/3 =

1/3

Scissors

Stone

1/9

B Wins

1/3 x 1/3 =

Paper

1/3

1/9

Draw

1/3 x 1/3 =

1/3

Stone

Player A

Player B

9/9

1/3

1/9 + 1/9 + 1/9

1/9 + 1/9 + 1/9

P(Draw) =

P(B Wins) =

P(A Wins) =

= 1/3

= 3/9

= 3/9

= 1/3

Second dice

Six

Six

Not six

Six

Not six

Not six

Second dice

Six

Six

Not six

Six

Not Six

Not six

PROBABILITIES

Second dice

Six

Six

Not six

Six

Not Six

Not six

PROBABILITIES

First day day = 0.2

Second day

Late

Late

Not late

Late

Not late

Not late

PROBABILITIES day = 0.2

First day

Second day

Late

0.2

Late

0.2

Not late

0.8

Late

0.2

0.8

Not late

Not late

0.8

Late day = 0.2

0.2

0.8

Not late

PROBABILITIES

First day

Second day

0.2 x 0.2 = 0.04

Late

0.2

0.2 x 0.8 = 0.16

Not late

0.8

Late

0.2

0.8 x 0.2 = 0.16

Not late

0.8

0.8 x 0.8 = 0.64

Make up a story of your own

Draw a tree diagram

Label all possible outcomes

AQA

Page 176

Ex 5G

Colin has a tin of sweets: day = 0.2

6 chocolates and 4 mints

Produce a tree diagram to show the probabilities of taking one sweet followed by another sweet.

What is the probability of taking two of the same type?

First sweet day = 0.2

Second sweet

Chocolate

Chocolate

Mint

Chocolate

Mint

Mint

PROBABILITIES day = 0.2

First sweet

Second sweet

C

C

M

C

M

M

Chocolate and chocolate =

Mint and mint =

So two of the same =

HWK day = 0.2

Complete the worksheet for Thursday’s lesson.