Two dice game I

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

For Game A and Game B you are to:
  • decide if each game is fair or not and explain your answer;
  • play each game in pairs, but individually record and explain your results. 
Game A: Throw two dice and add the top two numbers together. 

  • Player 1 wins when the result is an odd number.
  • Player 2 wins when the result is an even number.
 dice-4-md-120.png dice-2-md.png
Sum = 6
a) i)
Using the table below, who is more likely to win this game? (Circle one)

(A) Player 1         (B) Player 2         (C) Both players are equally likely.
 
  ii)
Explain your answer.
 
 
 
 
 

Sum of two dice 2 3 4 5 6 7 8 9 10 11 12
Number of ways it can occur 1 2 3 4 5 6 5 4 3 2 1
 
Game B: Throw the two dice and multiply the top two numbers together.

  • Player 1 wins when the result is an odd number.
  • Player 2 wins when the result is an even number.
 ​ ​dice showing 4 ​ ​dice showing 2​
Product = 8
b)
i)
Who is more likely to win this game? (Circle one) 

  (A) Player 1         (B) Player 2         (C) Both players are equally likely.
 
  ii)
Explain your answer.
 
 
 
 
 
 
 
  • Pair up with someone else who has finished a) and b).
  • Get two dice and complete parts c) and d).
 
c)
 
i)
 
Play Game A 50 times and record your results in the table below.
 
   
Tally Frequency
Player 1 wins  
 
 
Player 2 wins  
 
 
 
 
ii)
 
Do your results suggest that Game A is fair?   Yes   /   No     (Circle one)
 
Explain your answer.
 
 
 
 
 
 
 
d)
 
i)
 
Play Game B 50 times and record your results in the table below.
 
   
Tally Frequency
Player 1 wins  
 
 
Player 2 wins  
 
 
 
 
ii)
 
Do your results suggest that Game B is fair?   Yes   /   No     (Circle one)
 
Explain your answer.