# Pass the Pigs

Document Sample

```					                                            Pass the Pigs
Introduction to Proportion Inference

1. Review the rules of the basic game, including all of the pig positions. Laugh as appropriate.

2. Play five rounds.

3. The critical decision that a player must make before each roll is whether to keep the points he/she
has accumulated on that turn, or to roll again in hopes of earning more points. There is always a
chance that he/she will “pig out”, and lose all of the points from that turn. So it would clearly
benefit a player to have a rough idea of the chance of “pigging out” on any roll.

4. Roll the pig dice repeatedly, keeping track of the outcome on each roll. Use the table on the next
page.

5. Estimate the probability of obtaining a “pig out” on a single roll of the pig dice. Be sure to include a
margin of error.

6. How many rolls of the pig dice would you have to make to estimate the unknown probability of
obtaining a “pig out” to within 0.02?

7. An experienced player of pigs told me the other day that the proportion of rolls on which a “pig out”
occurs is 0.33. Based on your simulation, do you agree with this claim? Perform a significance test
at the 5% significance level.

8. In Pass the Pig, a trotter and a razorback are each given 5 points. This should mean that is about
equally likely to obtain a trotter or a razorback on a single throw of a pig die. Perform a simulation
to collect data that will help you decide whether this is true. Then use statistical inference to draw a
conclusion based on your simulation.

To think about . . .
Visit http://www.fontface.com/games/pigs/ for some virtual fun. Do the results on the Web site differ from
those in the “live” game? How do you think the Web site programmer has assigned probabilities to each of
the possible outcomes?
Name:                                                  Answer Sheet for Pass the Pig
Chapter 12 AP Statistics

2. Play five rounds

Player 1       Player 2         Player 3      Player 4    The winner of Pass the Pig for
Round 1                                                                   our group was . . .
Round 2
Round 3
Round 4
Round 5
Total

3. Make a guess of the probability of “pigging out”.

4.

Pig Out       Sider          Trotter       Razorback   Leaning     Snouter      Other
Jowler
Tally

Total

5.— 8.
Pass the Pigs
The object of this game is to be the first player who rolls a total of 100 points or the player with the most
points if no one has reached 100 points by the end of the game.

How to Play

Follow these steps to play the game:

1. Roll
The pigs land a certain way giving you a score for that roll. See the scoring table on the game page
for all possible rolls.

2. Roll again to try and get more points.
or
Pass the Pigs if you are satisfied with your roll.

The Rules

    If you roll a "Pig Out" your turn is over and you lose all your points for that turn.
    If you roll an "Oinker" you lose all of your points, including any accrued from previous turns.
    If a player accumulates 100 points before the 10th round, all other players are allowed to finish out
that round before the winner is declared.
    See below for a chart explaining all point values.

Roll[          Value                 Roll             Value
1 point                                20 points
Sider                            Double Trotter

5 points                                40 points
Razorback                          Double Snouter

5 points                                60 points
Trotter                      Double Leaning Jowler

Combined
10 points
score
Snouter                           Mixed Combo

Back to zero
15 points
for turn
Leaning Jowler                          Pig Out

Back to zero
20 points
for game
Double Razorback                          Oinker

```
DOCUMENT INFO
Shared By:
Categories:
Stats:
 views: 230 posted: 4/30/2010 language: English pages: 3
How are you planning on using Docstoc?