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# Is it fair?

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by

## Mr Mattock

on 9 May 2016

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#### Transcript of Is it fair?

Is it fair?
Starter
James and Tracy are playing a game with a dice.

James gets a point if the dice rolls an even number.
Tracy gets a point if the dice rolls a square number.

Work out the probability that James gets a point.
Work out the probability that Tracy gets a point.
Activity
Complete the fair games sheet
Fair games
Starter
James and Tracy are playing a game with a dice.

James gets a point if the dice rolls an even number.
Tracy gets a point if the dice rolls a square number.

Work out the probability that James gets a point.
=
Work out the probability that Tracy gets a point.
3

1
6

2
2

1
6

3
Is it fair
James and Tracy are playing a game with a dice.

James gets a point if the dice rolls an even number.
Tracy gets a point if the dice rolls a square number.

Explain why the game is not fair.

Suggest how you could change the game to make it fair.
Is it fair
James and Tracy are playing a game with a dice.

James gets a point if the dice rolls an even number.
Tracy gets a point if the dice rolls a square number.

Explain why the game is not fair.
James has a higher probability of winning than Tracy.
Suggest how you could change the game to make it fair.
Switch James to more than 4 or Tracy to odd/prime.
Suggest fair rules for a game using this spinner for:

(a) two people
(b) three people
(c) four people
(d) six people

Use probabilities to show your games are fair.
Fair games
Suggest fair rules for a game using this spinner for:

(a) two people
(3 colours each)
(b) three people
(2 colours each)
(c) four people
(3 sections each)
(d) six people
(1 colour each)

Use probabilities to show your games are fair.
Activity
Complete the fair games sheet
Use probability to decide if a game is fair.
(a) (b) (c) (d) (e) (f) (g) (h)
(i) (j) (k) e, g, i (l) h (m) a

(a) Blue/Yellow, Even/Odd (b) 1/2, 3/4, 5/6, 7/8
(c) 1 number each, 7 or 8 re-spin.
2 3 5 8 6 5 6 10
12 12 12 12 12 12 12 12
6 4
12 12
Plenary
James is charging 20p a go at this game. Work out how much he must pay anyone winning in order to make it fair.
Plenary
James is charging 20p a go at this game. Work out how much he must pay anyone winning in order to make it fair.
12 games = £2.40.

£2.40 shared between 3 winners = 80p
Activities
Activity