__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.

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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