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Many games have math behind them such as the best moves in monopoly, the quickest way to win in a game of mastermind.
Making decisions in a game are controlled by the mathematics behind a game, what is the best move to make, what you should bet on and whether you have a chance at winning.
A large amount of games involve chance, but the chance is based upon specific mathematics and details within the game.

What is the best strategy in games such as monopoly and mastermind? Also, should a strategy differ depending on who you are playing against?

I would like to explore how effective different strategies are in games like monopoly, chess and Yahtzee.
Zoe

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Maths and Games are intertwined because you can't have a game without maths in most cases. The only games that I have seen that don't involve maths is Humpty Dumpty's Wall Game and Jenga. I think that most games involve maths because all games involve some sort of addition, subtraction and other operations. For example, with snakes and ladders, you add up your results from the dice to move forward, with the ladders acting like extra addition, and the snakes subtraction. Also with video games, they are essentially built around maths having these operations, but being much more complex.

I am wondering what we are going to investigate in this topic. Are we looking into the history of games, or looking at the more modern sides of it.

Sam

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in this topic, i would like to explore the deeper mathematics behind how a lot of these games work, as well as familiarising myself with various probabilities, setups and ways of playing that will lead to more victories when playing.

i hope that we will also cover some things on how to predict the moves of an opponent in a certain situation, and how to respond as quickly and efficiently as possible to achieve the best possible outcome.

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I think that pretty much most video games function on maths. Without it, randomised and luck based features wouldn't be a thing. With board games not so much, as your average joe board game is played with a dice, with a set goal or path. The only luck based elements there would be the dice, and luck with cards.

Another way that they are intertwined would be logical steps. Most games (video games or IRL games) have a way to solve them, or complete them with a set of steps and decisions. This is the same with any maths equation, a set of steps for completion whether they be as simple or as complicated

Will

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okay so basically maths and games intertwine as mathematical concepts and understanding is a crucial component that contributes to overall success. I guess the most prevalent example would be the use of probability in games involving dice, having mathematical knowledge would help A LOT in strategic methods and approaches. This might be a reach but maybe in games such as tic tac toe, maths is important cause it links to the idea of strategy and logic to an extent. In addition to this, if you're good at maths you can determine the possible outcomes and consequences of certain actions eg/ what number you want to roll on a die and which numbers are beneficial and which ones are detrimental or in chess, what character would be best to move- forming basic calculations regarding probability of possible outcomes and the benefits of each rely on mathematical knowledge and in turn ultimately influence the success someone has in a game.

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1. Maths and games are connected by the way you have to analyse situations in which players make decisions and figure out the best outcome of that decision for you.
2. Are we going to be playing a lot of games on this topic. And what types of games?
3. How I can win in different ways.

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Games are very strategic (generally) and maths can be used to come up with a way to predict how a game is going to go or could go. There are heaps of different ways a game could go through, so as outcomes are ruled out it becomes easier to predict what's going to happen. There are apparently people who can hold all the possible outcomes in their heads though, especially with like cards, and I want to know how someone can remember all of that.
By Emily :)
hope you have a nice day!

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maths and games are intertwined because games only work based on certain ways of going through a series of events to achieve a logical outcome. quite often, this is a score or a certain setup of pieces, that requires careful calculations and skill to achieve.

probability can also play a key role in a lot of these games, as they are built around instruments like dice and cards. knowing probabilities and being familiar with potential outcomes to a certain move can be a huge advantage when attempting to win a lot of these games.

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Maths is an important element of games, which allows you to predict the movements of your opponents, therefore making it easier to wein

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Maths and games are very closely related. Victory is many games means reaching a score of a certain number, or collecting a certain number of things. The method of playing a game often revolves around probability (dice games). Furthermore, when people are designing games, they need to mathematically balance the game out so that it is enjoyable when played, for instance, they need to get the number of cards held in your hand right, or the number of actions per turn right.

In what other ways, using maths, do people ensure that the game is playable and balanced? Considering dice numbers/rolls, or spaces on the board etc, is there a sort of formula that can produce the most balanced and playable game? How else is maths hidden inside games (for example, chess, with pieces worth specific amounts, and the number of possible positions to create on the board after 2, 3, 4 moves etc). Are there any games that don't use any mathematical concepts at all? (eg. logic, problem solving, counting etc).

I will pursue questions through online research, and perhaps playing new games and discovering more about the games I already know.

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Because you count squares and if you can’t do basic math than you’ll have a hard time with number games. I guess it also comes into play with money for some and again basic maths sooooo…. You’ll be fine

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