STA 2210 Wayne State University Card Drawing Game Project

STA 2210 – 002 Spring 2022Project : Designing Your Own Game
— Due date: Friday, March 25
In this project, you will be designing a game (a card game, board game, etc.) It cannot be a
game that already exists – you must design a unique game. The game you design should be a
type of game you could play at a carnival or casino. It needs to be fun, and it should have some
sort of prize for the winner(s). It does not have to be fair, but it does have to be honest! You
must be able to explain the probability of your game, so don’t make it too complicated.
Anonymously peer review will be assigned for students, so please don’t include your name in
your submission. Each student will receive two reviews.
Instructions: there are six components you must include to complete this project
1. Create a flyer for the game: the flyer must be neatly handwritten or typed. Be creative!
2. Rules for the game: you must have clear rules so that anyone coming up to your game
can read the rules and learn to play quickly and easily. Your rules must include the price
to play, the value of the prize, and how to win a prize.
3. Theoretical probabilities: you must give a visual representation of the outcomes, such as
a list of outcomes, etc. Calculate the probability of each outcome. Include your work.
4. Calculate the expected total of winning and losing for a player. Include your work.
5. Playing your own game for at least 50 trails follows five steps (you may ask your family,
friends to play the game):
Step 1: Explain how the data were collected.
Step 2: Get a collection of data including outcomes and amount of winning/losing (if
each game includes more than one player, just record the result for one player.) Use
what you’ve learned from class to present/organize your data. You may show in any way
you choose(for example, table, bar chart, histogram, etc.), as long as it can be easily
read and interpreted.
Step 3: Using your data, compute the probability of each outcome of the game (these
are experimental probabilities). Did the experimental probability match the theoretical
probability that you computed in part 3?
Step 4: Use your data, find the average of real winning/losing for your data.
Step 5: Use your data, test if your game reaches its expected winning/losing you get
from Part 4.
6. Write an analysis what went well? If anything didn’t go as planned, be sure to include
what went wrong. How could you improve this game if we were going to host a second
carnival?
STA 2210 – 002 Spring 2022
Project Rubric (Total: 100 points)
Creativity/Origin
al Idea
(10 points)
Flyer
(10 points)
Game Rules and
Introduction (10
points)
Theoretical
Probability
Analysis
(10 points)
Expectation of
Wining/Losing
(10 points)
Data Collection
(10 points)
Data Display
(10 points)
Experimental
Probabilities
(10 points)
Above expectation
(9-10pts)
Idea is completely original and
creative. (High level of creativity
used to make the game
informative and appealing.)
Presented in a neat, clear,
organized fashion that was easy
to read.
Well-developed, easy-to-follow
written rules and game
introduction were provided.
A comprehensive write-up was
provided including: a correct
visual representation of possible
outcomes and probability
analysis.
The expectation was clearly
calculated and explained in
terms of the game.
Gave clear explanation of how
the game were played and
collected for more than 50
times. Data were collected in an
appropriate manner.
Included appropriate, welllabeled, accurate displays of the
data (graphs or tables).
Showed a clear understanding
of experimental probabilities in
terms of their game.
Test Result
(10 points)
Hypothesis test was clearly
performed properly and correct
conclusion was made.
Results of
Analysis
(10 points)
The work gave a good overall
picture of the project – what
went well and what didn’t – and
included ideas for further study.
Meets expectation
(6-8pts)
Idea is borrowed but
modified to fit probability
game. (Above average
creativity used to make the
game informative and
appealing.)
Presented in a neat and
organized fashion that was
usually easy to read.
Sufficient written rules and
game introduction were
provided.
A write-up was provided
including: a partial correct
visual representation of
possible outcomes and
probability analysis.
The expectation was
somewhat calculated and
explained.
Gave some explanation of
how the game were played
and collected for more than
50 times. Data were collected
in an appropriate manner.
Included appropriate,
accurate displays of the data.
Showed an understanding of
experimental probabilities
in terms of their game.
Hypothesis test was
performed properly but
conclusion was not made
correctly.
The work gave a good overall
picture of the project | what
went well and what didn’t |
but no ideas for further study.
Developing
(3-5pts)
Idea is similar to another
game. (Some creativity used
to make the game
informative and fun.)
Below expectation
(0-2pts)
Idea is not original.
(Little creativity used
to make the game
informative or fun.)
Presented in an organized
fashion but was hard to
read.
Limited written rules and
instructions were provided.
The work was sloppy
and unorganized.
An incomplete write-up was
provided.
No written rules or
game introduction
were provided.
An attempt was
made to provide
some sort of
probability analysis.
The expectation was
mentioned but not correct.
The expectation was
not mentioned.
Data were not collected in
an appropriate manner. OR
the game was played and
recorded less than 50 times.
No evidence of data
collection.
Included appropriate but not
accurate displays of the
data.
Showed a little
understanding of
experimental probabilities
Did not include
displays of the data.
Hypothesis test was not
performed properly.
Reflective thinking focused
on the positive aspects of
the project only.
Timeliness: Feel free to turn it in early. No late work is accepted!!!
Showed no
understanding of
experimental
probabilities.
No hypothesis test
was included.
No evidence of
reflective thinking.