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Tree Diagrams Grade B 7-Jun-14PowerPoint Presentation

Tree Diagrams Grade B 7-Jun-14

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Tree Diagrams Grade B 7-Jun-14

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
- 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?

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

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

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?

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 =

HWK day = 0.2

Complete the worksheet for Thursday’s lesson.

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