Friday, 16 May 2014

Homework

 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.







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 in the table above showing the results player 1 & player 2 both won even on the first roll. The probability of player 1 winning is exactly the same as the probability of player 2 winning, Therefore I think C because both players are equally likely to win.



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. 








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 pink. As you can see below the odd numbers (Highlighted in pink) that are multiplied, there is a lot less then the even ones (in black). The probability of player 1 winning is 9\39, The probability of Player 2 winning is 27\36, So therefore Player two has a higher chance of winning.













Play Game A 50 times and record your results

Player A wins: 26 times
Player A looses: 24 times

Player B wins: 24 times
Player B looses: 26 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 video.

1 comment:

  1. Wonderful homework, Sophia. I loved your science video. The question I would ask is what is the science behind the reason the candle flame extinguished? For your probability activity Game A is actually not fair. If you list all the possible outcomes of adding 2 dice you will see that there are 22/36 even totals and 21/36 odd totals, so player 2 will win more often. You were spot on for Game B though.

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