- Probability
- the extent to which something is probable
- Observed Probability
- The value that is actually observed
- Theoretical 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,, given that another has already occurred.
- Probability of Multiple Events
- As it sounds, the probability of two or more events happening
- 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 table that has an x and y axis, displaying information on a certain topic
- Tree Diagram
- There are two "branches" (Heads and Tails) The probability of each branch is written on the branch. The outcome is written at the end of the branch.
- Joint Probability
- 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 happening at the same time as event X
- Marginal Probability
- 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.
Renaissance Inspired Game:
The game that I created was As Nas is a game that is very similar to poker but without any flushes or sequences.I worked with Joseph and Andrew on this game. There are four players, and each player gets five cards. The person that has the most of the same card wins the game. Going first can be decided by rolling a dice and whoever gets the highest number goes first. This is a very simple game and I choose this game because it is a very quick game that parents would enjoy and it wouldn't take up much time for them to explore the other games that my peers made.
Probability Analysis:
In this project I learned how to find the probability of my game As Nas. During the process I got stuck a lot and I was very confused and didn't know what to do. Overtime I was able to figure out the probability of getting 5 sets in one round. I used lots of habits of mathematician but the one that I used most was starting small. This helped me lot while figuring out the probability and the chart is below.
Reflection:The probability unit as a whole was an interesting project. In the beginning it was review which was helpful for a refresher. For me, the hardest part was getting to use my insight into seeing probability through a game. I didn't know how it was going to work out for me and how hard it was going to get. I enjoyed this project the most because of the amount of practice we got which helped me really get comfortable with new concepts. This project was really awesome and it helped mew realize how much you can do with probability and use it in real life situations.