We started the project off with the famous game of Pig. The game of pig is completely based on probability. It was an excellent ice breaker for the much tougher assignments to come later in our project. The game of pig is basically rolling a pair of dice and the first person to reach the 100 point mark wins. But there is a catch to it you get a double number 1 the points restart on your part. So we had to find the probability of that. Moving on from that, the assignments started getting trickier and trickier because each assignments had a different segment of probability, when we were first introduced to the probability trees I was so confused because I had never seen anything like it. My favorite assignment was the "My dog ate my homework" this is because I found it very humorous and very challenging but doable.
My exhibition piece was the recreation of the famous game dices and doubles. My partner Coby Uribe and I had to combine our working mind sets to create a majestic exhibition piece. We struggled to find a project that met the requirements and satisfied our tastes. But towards the end of the project we thought of one "Dices and Doubles". We worked very hard to create our hand made dices and our handmade board piece. The rules of our game were that each player had 3 try and each dice had to land on either side to obtain points. If both dices landed in the same side you would add up the points and deduct that from your total. The probability of the dices land on either side were a 50/50 chance because either they could land on either side or two could land on the same side and you would be penalized for that.
Now listed below are the things we went over in this wonderful project:
Expected Value:
A predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence
Tree diagrams:
Allow us to see all the possible outcomes of an event and calculate their probability. Each branch in a tree diagram represents a possible outcome. If two events are independent, the outcome of one has no effect on the outcome of the other.
A two-way table:
Of counts organizes data about two categorical variables. Values of the row variable label the rows that run across the table, and values of the column variable label the columns that run down the table.
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. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.
Joint probability:
Is a statistical measure where the likelihood of two events occurring together and at the same point in time are calculated. Joint probability is the probability of event Y occurring at the same time event X occurs.
Probability:
Is the extent to which something is probable; the likelihood of something happening or being the case.
Observed Probability:
In probability and statistics, a realization, observation, or observed value, of a random variable is the value that is actually observed (what actually happened).
Theoretical Probability:
Is probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.
Conditional Probability:
In probability theory, conditional probability is a measure of the probability of an event given that (by assumption, presumption, assertion or evidence) another event has occurred.
Probability Analysis:
What is the probability of rolling a 5 and 6 or a 2 and 3 on your first roll?
There is a 2/36 chance of rolling a 2 and 3 as well as a 2/36 chance of getting a 5 and 6. This is because there are 36 possible combinations to roll with a set of dice and 2 of them are 2,3 and 3,2. There is also 2 which are 5,6 and 6,5. We can reduce 2/36 to 1/18. Then we will combine these two by seeing that we have a total of four outcomes we are interested in out of 36 possible outcomes, 4/36. This will reduce to 2/18. So you have a 2/18 chance of rolling a 2 and 3 or 5 and 6.
Habits of a Mathematician:
We utilized various propensities for a mathematician while making our amusement, and our likelihood examination, for example, team up/tuning in and remain sorted out. These three propensities for a mathematician are essential in light of the fact that without these abilities I wouldn't have the capacity to complete and finish my work in this task. Remaining Organized was critical in this venture ensuring everything was all together and your due dates was set and met. Without this I would get lost rapidly and battle with taking in the idea of likelihood. Teaming up and listening is essential when we worked with our associates when we had addresses or required help with our work. Listening was fundamental when we were tenderfoots at learning likelihood questions and so on.
Section 4: Reflection
The Probability venture was by and large a better than average undertaking, it was straightforward the idea of likelihood at first when we did basic possibility and likelihood questions. However, once we began to get further and find out about likelihood trees that is the point at which it started to be a test. It was then clarified more with worksheets and clarifications and that is the point at which I started to have achievement. My most significant piece of this task was having the capacity to really make my last item. I had numerous achievement while making my tabletop game, for example, time administration, critical thinking and building. I worked in a group of two for this undertaking so it made me an expanded workload, so I must be engaged all through the task. Which at that point changed to my distribute commendable last item. In the event that I could change something about this undertaking or process I would show the amusements better amid presentation days. Cause it was sloppy and a considerable lot of the recreations weren't shown.
My exhibition piece was the recreation of the famous game dices and doubles. My partner Coby Uribe and I had to combine our working mind sets to create a majestic exhibition piece. We struggled to find a project that met the requirements and satisfied our tastes. But towards the end of the project we thought of one "Dices and Doubles". We worked very hard to create our hand made dices and our handmade board piece. The rules of our game were that each player had 3 try and each dice had to land on either side to obtain points. If both dices landed in the same side you would add up the points and deduct that from your total. The probability of the dices land on either side were a 50/50 chance because either they could land on either side or two could land on the same side and you would be penalized for that.
Now listed below are the things we went over in this wonderful project:
Expected Value:
A predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence
Tree diagrams:
Allow us to see all the possible outcomes of an event and calculate their probability. Each branch in a tree diagram represents a possible outcome. If two events are independent, the outcome of one has no effect on the outcome of the other.
A two-way table:
Of counts organizes data about two categorical variables. Values of the row variable label the rows that run across the table, and values of the column variable label the columns that run down the table.
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. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.
Joint probability:
Is a statistical measure where the likelihood of two events occurring together and at the same point in time are calculated. Joint probability is the probability of event Y occurring at the same time event X occurs.
Probability:
Is the extent to which something is probable; the likelihood of something happening or being the case.
Observed Probability:
In probability and statistics, a realization, observation, or observed value, of a random variable is the value that is actually observed (what actually happened).
Theoretical Probability:
Is probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.
Conditional Probability:
In probability theory, conditional probability is a measure of the probability of an event given that (by assumption, presumption, assertion or evidence) another event has occurred.
Probability Analysis:
What is the probability of rolling a 5 and 6 or a 2 and 3 on your first roll?
There is a 2/36 chance of rolling a 2 and 3 as well as a 2/36 chance of getting a 5 and 6. This is because there are 36 possible combinations to roll with a set of dice and 2 of them are 2,3 and 3,2. There is also 2 which are 5,6 and 6,5. We can reduce 2/36 to 1/18. Then we will combine these two by seeing that we have a total of four outcomes we are interested in out of 36 possible outcomes, 4/36. This will reduce to 2/18. So you have a 2/18 chance of rolling a 2 and 3 or 5 and 6.
Habits of a Mathematician:
We utilized various propensities for a mathematician while making our amusement, and our likelihood examination, for example, team up/tuning in and remain sorted out. These three propensities for a mathematician are essential in light of the fact that without these abilities I wouldn't have the capacity to complete and finish my work in this task. Remaining Organized was critical in this venture ensuring everything was all together and your due dates was set and met. Without this I would get lost rapidly and battle with taking in the idea of likelihood. Teaming up and listening is essential when we worked with our associates when we had addresses or required help with our work. Listening was fundamental when we were tenderfoots at learning likelihood questions and so on.
Section 4: Reflection
The Probability venture was by and large a better than average undertaking, it was straightforward the idea of likelihood at first when we did basic possibility and likelihood questions. However, once we began to get further and find out about likelihood trees that is the point at which it started to be a test. It was then clarified more with worksheets and clarifications and that is the point at which I started to have achievement. My most significant piece of this task was having the capacity to really make my last item. I had numerous achievement while making my tabletop game, for example, time administration, critical thinking and building. I worked in a group of two for this undertaking so it made me an expanded workload, so I must be engaged all through the task. Which at that point changed to my distribute commendable last item. In the event that I could change something about this undertaking or process I would show the amusements better amid presentation days. Cause it was sloppy and a considerable lot of the recreations weren't shown.