AMDM
Unit 2 Project
Name:
Date:
Per.:
Students will be choose a group that will complete a project chosen from 3 options provided.
Projects will be due at the beginning of class on Friday 11/6.
In your groups choose one of the following game options and answer the questions below.
1. Draw a tree diagram to represent all of the possible outcomes in the game, labeling with
probabilities.
2. List all possible outcomes and their related probabilities.
3. If 230 people played your game how many would you expect to win of each of the given
prizes?
4. If it costs a person $5 to play, is the game fair? Explain.
5. Find the expected profit when 230 people play the game.
6. Play the game and record the outcome of 230 trials.
7. Display your data in a table.
8. Compare the proportions of your outcomes to the theoretical probabilities from question 2.
Make a statement about any similarities or differences you see.
9. Create a half-poster board presentation. Make sure you provide all of the information from
the questions above as well as any relevant graphs, pictures, or tables. All answers to
questions must be clearly identified on your poster.
10. Fill out the group member survey and submit confidentially.
All items are 10 points each (10 points for #10 come from the average rating that your group
members give you)
GAME OPTIONS:
Option 1-Spinner
Option 2-Dice
Option 3-Coins
A spinner is divided into 4
You begin by rolling a pair of
A fair coin is flipped four times
equal sections labeled $1, $2,
dice.
in a row.
$3, and $4.
 If the sum of the two
 If the same result is
Everyone spins the spinner
dice is an even number,
achieved all 4 times,
two times.
you get to roll one die
you win $8.
 If the second spin is less
over again as a bonus
 If the same result is
than the first spin you
roll, otherwise, you lose
achieved 3 of the 4
get nothing.
and the game is over.
times, you win $5.
 If the second spin is
 On the bonus roll, if the
 If you have the exact
greater than the first
number is even, you win
same number of heads
spin, you win the sum
$10. If the number is
and tails, you lose the
of the spins.
odd you lose $1.
game and win nothing.
 If the two spins match,
you get a bonus spin
which can result in $0
or $5. This will be
added to the total.
Discuss the options with your group and decide which one you will choose. See me when you are
ready to make your choice. Once you decide, you will NOT be allowed to change to a different
game. Once a game has been picked three times in a given class period, the game can no longer
be chosen.
DUE DATE: Beginning of class Friday 11/6
10% deduction for every day the project is late.
Peer Review for Unit 2 Group Project
Please write each group member’s name in the space provided and circle a number 1-10 for how
much they contributed to the project (1-member did little to no work on the project, 10-member
contributed in a significant way to the project). Then list the contributions each group member
made to your group. Additional comments may be made at the bottom.
Group Member 1(your name): _______________________
1
2
3
4
5
6
7
8
9
10
Contributions: _________________________________________________________________
Group Member 2: _______________________
1
2
3
4
5
6
7
8
9
10
Contributions: _________________________________________________________________
Group Member 3: _______________________
1
2
3
4
5
6
7
8
9
10
Contributions: _________________________________________________________________
Group Member 4: _______________________
1
2
3
4
5
6
7
8
9
10
Contributions: _________________________________________________________________
Group Member 5: _______________________
1
2
3
4
5
6
7
8
9
10
Contributions: _________________________________________________________________
Additional Comments:
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________