My Renaissance Game
For exhibition I worked with another student in my class to find a game that we would play at exhibition with our guests. The game we chose was As Nas. This was a game that originated in Persia and game to rome on ship. As Nas is a game that is very similar to poker. but without any flushes or sequences. There are four players, and each player gets five cards. The dealer puts down a stake. The order of players is decided by a die. Each player roles and whoever gets the lowest gets to decide the placement of each player. The first player to the right of the dealer then looks at his cards. If he if he wants to raise the stakes he says raise If he does not wish to play he says drop. The second player, if he wishes to play, must raise the stake. The third player and the dealer then act in the same way just as in poker, and when the stakes of all players are equal and no one raises any more the cards are turned up and the player holding the best hand wins the stakes. We chose this game to present because me and my partner thought the game was fun and interactive.
Probability Definitions
• Probability: The extent to which something is probable.
• Observed Probability: In probability and statistics, a realization, observation, or observed value, of a random variable is the value that is actually observed
• 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 ( A ), given that another event ( B ) has already occurred.
• Probability of Multiple Events: Use the specific multiplication rule formula. Just multiply the probability of the first event by the second.
• 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 two-way table organizes data about two categorical variables.
• Tree Diagram: A thing that has a branching structure resembling that of a tree.
• Joint Probability: A joint probability is a statistical measure where the likelihood of two events occurring together and at the same point in time are calculated.
• Marginal Probability: In probability theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset
• Observed Probability: In probability and statistics, a realization, observation, or observed value, of a random variable is the value that is actually observed
• 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 ( A ), given that another event ( B ) has already occurred.
• Probability of Multiple Events: Use the specific multiplication rule formula. Just multiply the probability of the first event by the second.
• 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 two-way table organizes data about two categorical variables.
• Tree Diagram: A thing that has a branching structure resembling that of a tree.
• Joint Probability: A joint probability is a statistical measure where the likelihood of two events occurring together and at the same point in time are calculated.
• Marginal Probability: In probability theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset
Now that it is done I believe that this project has helped me to truly understand probability and has made me try to become more of a deep thinker. I think that the partner that I chose was some one that I knew I could work well with and I think that we got everything done that was required. We also Decided to design our own game pieces as shown above and actually used them at exhibition. The game that we chose was definitely something that we were able to change in our own way which challenged us. Throughout the project we studied probability and learned a lot about how it could be used in everyday life. I found overall the project kept students interested with interactive lessons and the teacher tried to make sure that each of us understood what we were learning
Probability Analysis - As Nas
What is the probability of getting a set of 5 fives? aka Pr[A full set of 5's]
After learning about probability and picking a game we were asked to find a probability analysis of the game that we chose. To do this I used multiple habits of mathematicians such as conjecture and test and start small. I used the habit of conjecture and test by trying different things to see what worked and what didn't. I used the habit of starting small by creating a tree diagram to help me better understand what the final analysis would look like. my partner Micah created this which is shown below
After learning about probability and picking a game we were asked to find a probability analysis of the game that we chose. To do this I used multiple habits of mathematicians such as conjecture and test and start small. I used the habit of conjecture and test by trying different things to see what worked and what didn't. I used the habit of starting small by creating a tree diagram to help me better understand what the final analysis would look like. my partner Micah created this which is shown below