In the past quarter working along side with the Renaissance project, in math we have been learning about probability.
Probability is the chances of something happening. An example such as a bag of marbles, five are red and two are blue. What is the portability of me pulling a red marble? Red's chances are five out of seven while blue is two out of seven. Simple as that. |
There are many different kinds of probability such as Observed probability and Theoretical probability and even Conditional probability.
Observed Probability is probability determined by observing the problem at hand. Such as running a few experiments determining probability. Theoretical Probability is probability based off math and reasoning rather than just experimenting and observing. Condition Probability is two different events combining into one. Such as The probability of event A outcome when event B has already happened. Lets go back to our marble bag in our picture. Lets say I pull out one red marble, then the chances of marble choosing are different because one marble has been pulled out. Now the chances of pulling at red marble is now four out of six and pulling a blue is two out of six. Expected Value is calculating all possible possibility by number of events that are happening in the said problem. A Joint Probability is the probability of two separate events and the likelihood of then having the same outcome and occur at the same time. Marginal Probability is like a two way table but formatted differently. Putting chances into something to happen in the table and end up adding them up the total number for sections. |
Above is a two way table that formats probability. Such as in this photo, its doing the difference between a group of women and men being left or right handed. Such as the probability of choosing a woman that's left handed out of the entire group is seven out of one-hundred twenty-one. In math we had to do many worksheets that required filling out two way tables.
Above is a Tree diagram. Another way to format probability and its chances. It this tree diagram its explaining the chances of flipping a coin and which side lands on. Since there is only two sides to a coin, both have 50/50 chances of landing.
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Inspired by the Renaissance projects happening in history and english, math decided to contribute. We had to play a game that was played in the Renaissance era. My partner and I decided to play and analyze the game of Gilet. A card game with Italian origins and a game full of chance. There is no game play what so ever, no way to cheat really. The game consists with the cards seven through king cards.Before game play all players must bet, you are handed three cards from the dealer and you must put your cards in order from least to greatest . Whoever had the highest order of cards, wins! It's fairly simple and enjoyable. This was mostly played in Casinos or parties between adults. As far as I'm aware there isn't any more recent playing of this game. I choose this game because the game was easy to catch on and teach to others.
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With our game we had to analyze probability within our game. I chose to search the chances getting all face cards in your three cards you receive during the game. There are thirty two cards within this small deck, but possibilities of different hands are a lot. There are 384 different hands you can get in this game. (Calculations took awhile) within those 384 hands there are only twelve face cards. Out of the 384 hands you can only get all face cards is 48 different hands. There are 48 different combination for face cards alone, so your chances of getting it are 48/384 or 12.5% chance of getting all face cards in your hands while playing this game.
<-<<< My work figuring out the possibilities of outcomes while playing Gilet Habits of a mathematician I used while figuring out these problems are Looking for patterns and Staying organized. Cards have many patterns and symbols and it made it a whole lot easier dealing with finding the different possibilities of different hands. Staying organized, I made sure to do all my work in a clean space on one sheet of paper. For me being more organized made it a whole lot better when dealing with the math. |
Reflection
This project was a nice break from the Humanities part of the project. We were just playing games which I enjoyed! It was fun experiencing others games and origins. But I felt as others put much more effort into other games, many games were simple aa rolling a die while others made full on boards games. Maybe next year if this project is contained, maybe games can be assigned rather than chosen. |