Four dice game I

This task is about predicting, then recording, the outcome of a game of chance.

Practical task
In a game four dice are thrown and the numbers facing up are added together.

Example:

  dice-2-md-120.png dice-3-md-120.pngdice-5-md-120.png  dice-4-md-120.png
Sum = 14 = 2 + 3 + 5 + 4

  • Player 1 wins if the sum is 11 to 17.
  • Player 2 wins if the sum is 4 to 10 or 18 to 24.
a) i)
Which player do you think is the most likely to win?    
 
Player 1       Player 2      They are equally likely       (circle one)
 
  ii)
Explain your answer to a) i)
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b)
You are to carry out this experiment in pairs. Throw four dice and sum the numbers that are facing up. Record which player wins in the table below. Do this 100 times.
 
 
c) i) What is the probability of Player 1 winning based on your results for b) above? __________
  ii)
How could you get a more accurate estimate of the probability that Player 1 wins?
 
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d) i) Do the results of your experiment indicate the game is fair?

Yes   /   No     (Circle one)

  ii)
Explain your answer to d) i).
 
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