Project Overview:
The Last few months of this semester in math we have been deep into the world of probability. For this project we had to find a game from the Renaissances that included the aspect of probability.
Math terms we used:
• Probability: The extent to which something is probable; the likelihood of something happening or being the case.
• Observed Probability: Observation, or observed value, of a random variable is the value that is actually oberved
•Theoretical Probability: Probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.
• Conditional Probability: the probability of an event
•Probability of Multiple Events:The sum of independent events
•Expected Value: A predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.
• Two-Way Tables: A organized data table about two categorical variables and their outcomes
•Tree Diagram: A tree diagram is a organization tool used to visualize the probability of multiple events
•Joint Probability: When two or more events are combined to find the joint probability
•Marginal Probability The probability of of one event were multiple events are supplied
The Last few months of this semester in math we have been deep into the world of probability. For this project we had to find a game from the Renaissances that included the aspect of probability.
Math terms we used:
• Probability: The extent to which something is probable; the likelihood of something happening or being the case.
• Observed Probability: Observation, or observed value, of a random variable is the value that is actually oberved
•Theoretical Probability: Probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.
• Conditional Probability: the probability of an event
•Probability of Multiple Events:The sum of independent events
•Expected Value: A predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.
• Two-Way Tables: A organized data table about two categorical variables and their outcomes
•Tree Diagram: A tree diagram is a organization tool used to visualize the probability of multiple events
•Joint Probability: When two or more events are combined to find the joint probability
•Marginal Probability The probability of of one event were multiple events are supplied
Renaissances Game: Hazard
The game of Harzad is from the 13th century, it's origin is unclear but historians believe the origin to be Arab. This was a very popular game across Europe but was mostly played in England. My group members and I picked out this game because we thought that this was a simple and fast game to display at exhibition. There are two different ways to play this game. In both ways you always start with two dice. The longer version of the game, the first person to roll or the caster will keep rolling until they get 5 and or 9. After that the other players make a bet on the caster will get their to move on or not . If they get one of the numbers from their main numbers than they win. The more simple way we had people play at exhibition was just who ever gets to the end first wins. We did it that was because they was a lot of people coming in and out wanting to play our game. How chance plays a part in this game is in the dice you don't know what you are going to get. For fun we made our board a Christmas themed with lights and trees. Also at each stop on the track it had a time line fact about the Renaissances.
Habits of a Mathematician:
A habit of a mathematician that I used throughout this project which is starting small. When doing probability trees and tables it can get really complex and messy. I would always start my work with just the basic facts and numbers. Every time I would get confused I would just go back to the small numbers. Another habit that I used was staying organized, not only in my work but with my work. I kept all my work that was related in a paper clip. This really helped me out for when I need to reference to other work of mine to help me out with new problems.
Probability Analysis:
My probability question for my renaissance game is: A game between Jack and Stephiane. They are playing with a two dice. Jack won within two rounds. He rolled doubles both times. What is the probability of him rolling a double both times.
Calculations:
Calculations:
Reflection:
A reflection on this project. Remember: a project reflection is your opportunity to reflect on your experience with the project (successes and challenges).
This was a challenging project. Even though I have done probability work in the past in this project we went to the next level. When it came to probability trees, tables, and charts I get lost in all the numbers and
This was a challenging project. Even though I have done probability work in the past in this project we went to the next level. When it came to probability trees, tables, and charts I get lost in all the numbers and