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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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Tree diagrams grade b 26 sep 12

Tree Diagrams Grade B 7-Jun-14

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


Tree diagrams grade b 26 sep 12

Z


Tree diagrams grade b 26 sep 12

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

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

  • Use the calculator these into convert these into decimals

  • Enter your results into the class spreadsheet

  • 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?


Tree diagrams grade b 26 sep 12

Scissors Paper Stone

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


Tree diagrams grade b 26 sep 12

Scissors Paper Stone

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



Tree diagrams grade b 26 sep 12

First dice

Second dice

Six

Six

Not six

Six

Not six

Not six


Tree diagrams grade b 26 sep 12

First dice

Second dice

Six

Six

Not six

Six

Not Six

Not six

PROBABILITIES


Tree diagrams grade b 26 sep 12

First dice

Second dice

Six

Six

Not six

Six

Not Six

Not six

PROBABILITIES



Tree diagrams grade b 26 sep 12

First day day = 0.2

Second day

Late

Late

Not late

Late

Not late

Not late


Tree diagrams grade b 26 sep 12

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


Tree diagrams grade b 26 sep 12

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


Tree diagrams grade b 26 sep 12

TASK 1 day = 0.2

Make up a story of your own

Draw a tree diagram

Label all possible outcomes


Tree diagrams grade b 26 sep 12

TASK 2 day = 0.2

AQA

Page 176

Ex 5G


Tree diagrams grade b 26 sep 12

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?


Tree diagrams grade b 26 sep 12

First sweet day = 0.2

Second sweet

Chocolate

Chocolate

Mint

Chocolate

Mint

Mint


Tree diagrams grade b 26 sep 12

PROBABILITIES day = 0.2

First sweet

Second sweet

C

C

M

C

M

M


Tree diagrams grade b 26 sep 12

What is the probability of taking two of the same type? day = 0.2

Chocolate and chocolate =

Mint and mint =

So two of the same =


Tree diagrams grade b 26 sep 12

HWK day = 0.2

Complete the worksheet for Thursday’s lesson.