Homework Week 2

 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 

Results showing game A.

Player A	7
Player B	10

Who is more likely to win:

A) Player 1       B) Player 2       C) Both players are equally likely

Explain your answer.
C

I think C because There is a 50/50 chance of winning so that is why I think C.



Game B

Throw 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 

Results showing game B. 

Player A	36	9	25
Player B	9	16	36

Who is more likely to win:

A) Player 1      B) Player 2      C) Both players are equally likely

Explain your answer.
B. 

Player 2 is my answer. I think this because the probability of player 1 and player 2 winning is actually different. I have set up and a times table sheet & highlighted the odd numbers in purple. As you can see below the odd numbers (Highlighted in purple) that are multiplied, there is a lot less then the even ones (in blue). I calculated that the  probability of player 1 winning is 9\39, The probability of Player 2 winning is 27\36, and that's my theory to my answer.

x	1	2	3	4	5	6
1	1	2	3	4	5	6
2	2	4	6	8	10	12
3	3	6	9	12	15	18
4	4	8	12	16	20	24
5	5	10	15	20	25	30
6	6	12	18	24	30	36

    

Play Game A 50 times and record your results

Player A wins: 30 times
Player A looses: 20 times

Player B wins: 28 times
Player B looses: 22 times

Do your results show that this game is fair?
 yes/no?

Explain your answer.

Yes.
I think this because, The results were really close between player 1 & player 2, I think this shows that it is fair because if the game wasn't fair the results would have a bigger range. 


Play game B 50 times and record your results

Player A wins: 12
Player A looses: 38

Player B wins: 38
Player B looses: 12

Do your results show that this game is fair?
yes\no?

Explain your answer.
No.

I think this because, as I said before the probability of getting an odd when rolling 2 dice and multiplying is 9\36 as for getting an even number is 27 \36. Therefore if Player A had to win by getting odd number first they would have a lot less chance of winning then player B who had to get an even number to win.

My Science Experiment