Dear Mum, Dad and Miss Hinds,
For homework this week, we have to play a chance game. I couldn’t take a picture of one of the games that I played, so I created a table, and did it in word. Click on the link to view. 12 chip dice game
My questions:
Is there a number that is being rolled constantly?
Well, sort of, if you click on the link, you will see that 11 was rolled the most. I rolled 11 3 times, and so did my mum. I am sure as to why 11 was occurring the most, but I guess it was just lucky.
Is there a number that isn’t being rolled very often?
Well, again, if you click on the link, you will see that 2 and 3 weren’t being rolled a lot, both my mum and I only rolled it once. Obviously, none of us rolled a one because you cant roll 2 dice, and get two numbers that equal one, and there isn’t a dice with a zero on it.
Have you changed the position of the counters?
Yes, I moved them around because as you know, 2 and 3 weren’t being rolled a lot, and 11 was being rolled heaps, so I put none on 2 and 3, and I put 4 on 11. It worked. I haven’t put the other games that I played don my blog, but when I played the other games, 11 and 9 were being rolled a lot, and 2,3 and 10 weren’t really being rolled at all.
Explain the game, and what you were required to do
Well, first of all, you had to get a partner. Then you get 2 a4 pieces of paper, divide that into 12 boxes, and write a number in each box between 1-12. Then, you have to get some sort of 12 counters, and once you have them, place the counters where ever you want, you can have none in one box and more then 1 in one box if you like. After that’s all set up, one person rolls the dice. Add your two numbers that you rolled together. So, say if you get a 2 and 2, that equals 4, you take a counter off the 4 box if you have one on there. You continue this method until one person has removed all the counters of the page. But, you have to record. So draw a Tally. In that tally, you must have the number, the tally, the total, the experimental probability and the theoretical probability. If you click on the link, you will see how you have to draw it out. 🙂
What strategies did you use at the start of the game
Well, one strategy that I used at the start of the game, was not putting any counters in the 1 box, because you cant roll 2 dice that equal a 1.
Did you change your strategy as you repeated the game?
No because obviously, you still cant roll a 1 no matter how many times you played. But I figured out a new strategy, which was to put less counters in the box that wasn’t being rolled out.
What numbers did you place the least most counters on? Why? Did this change as you played more games?
Well, at the start, I didn’t really know hat numbers weren’t going to be rolled out apart from one. But as I played more games, I realised that 2,3 and 10 were hardly coming up at all, so I put less counters on them, one game, I even put no counters on each of them and it turned all right, to be honest. Sorry you cant see the other games.
What did you notice about the chance of rolling certain numbers? Are there numbers that are most likely to occur then others?
I noticed that the chance of rolling a 11 often was highly likely and I noticed that rolling a 2, 3 and a 10 very often was highly unlikely. So 11 was almost certain that it would be rolled more often if I played even more games.