One way to find out is to play this "special sums" game for a few rounds to see what happens.

The rules for the game

Players take turns rolling 2 number cubes. Add the 2 numbers together.

Player A gets a point if the sum is odd.

Player B gets a point if the sum is even.

Play 20 times. (Each player gets 10 turns.) Use the scoring sheet on the next page. The player with the most points wins.

Note: You can get points on another playerÕs turn. For example, if any player rolls a sum of 10, Player B scores a point.

Sample Score Sheet

		A's points	B's points
Roll number	Result	If Odd, check here	If Even, check here
1.	9
2.	7
3.	12
4.	3
Total		3	1

Odd leads 3 to 1 after 4 rolls.

Playing the game: Score Sheet

		A's points	B's points
Rolls	Result	If Odd, check here	If Even, check here
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
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18.
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20.
Total

Conjecture

Did playing the game change your opinion about whether this game is fair or unfair? Why?

Analysis of Game

The chart below helps you to analyze the probability of rolling an odd or even number. Fill in the chart to show all the possibilities.

Based on this chart what are the probabilities of rolling  each of the following numbers:

1	10
2	11
3	12
4	13
5	14
6	15
7	16
8	17
9	18

Conclusion

Is this a fair game? Explain in detail.

See Examplars for solutions offered by students.