Probability Games Statistics In Your World 
Student Notes
Teachers Notes
An Obstacle Race
 
American Football
 
Coin Tennis
 

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An Obstacle Race
You will need two dice, two coins and page R2.
Every year class IZ at Wombleside School invents a game of chance. This year they have designed an obstacle race. To make it more exciting, the obstacles come in pairs. Each competitor chooses one from each pair.
Competitors are allowed to practise. This helps them choose their route more skilfully. The obstacles must be tackled in the correct order.


Figure 3 - The obstacle race

The first pair of obstacles is shown again in Figure 4.


Figure 4 - The first pair of obstacles

To get past an obstacle, you must follow the instructions in the box.
If you choose 1a, you must throw two dice. When you get a sum of 2 or 3, you can move on to the next obstacle.
If you choose lb, you must throw two dice. You can move to the next obstacle when you throw a sum of 7.
Look at the class results of throwing two dice in Table 7 on page R2.

a How many times was the sum equal to 2?
b How many times was the sum equal to 3?
c How many times was the sum equal to 2 or 3?
d How many times was the sum equal to 7?
e Which obstacle would you choose to begin the race?

The complete obstacle course is shown in Figure 3.
Each competitor chooses one obstacle from each pair to make four obstacles altogether.

f Do some experiments to help you to choose the easier obstacles.

Select a partner, decide upon your routes, and then race to see who wins. At each turn, follow the instructions in the box. If you are successful, move on to the next obstacle, otherwise try again on your next turn. Good Luck!

American Football
You will need a die and a counter.

Figure 5 represents a football pitch, with the ball in the centre.


Figure 5 - Pitch for American football game

Throw a die. If the score is 5 or 6, A 'kicks' the ball towards B, 5 or 6 spaces. If the score is 1, 2, 3 or 4, B
'kicks' the ball towards A, 1, 2, 3 or 4 spaces.

a Play the game 10 times, using a marker for the ball.
Make a note of the winner of each game. Give your results to your teacher.

Combine your results with the others from your class who played this game.

b How many times did A win?
c How many times did B win?
d Is it a fair game? Give reasons for your answer.

Coin Tennis
You will need two coins.
This game is based on tennis but uses coins. There are two players, A and B. Each has a coin.
A serves by tossing a coin. If the outcome is heads H, the service is good; if tails T, there is a fault.
Two services are allowed. H or TH give a good service; TT gives a double fault, and B wins the point.
If the service is good, B tosses a coin.
If the outcome is heads, it is a good stroke; if tails, the point is lost.
This continues until the point is lost. Play a series of rallies, scoring as in tennis.

a Is it a fair game? If not, who has an advantage?
b To make the game more realistic, try different chance methods (e.g. dice or spinners) to decide whether a serve or return is good.

 

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