Simple Game 1

Simple Game 3

Worksheet 3

Prob of success for this simulation________

In the two previous models we simulated games in which there was a point awarded after every play. Some games, like squash or volleyball, require that you have the advantage of the serve before you can earn a point. This model simulates such a game.

Before we begin, try again to predict the number of games you will win under this new situation with the probability of success stated above. _______________

Briefly explain why you think this number will result?

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Load the STELLAã Model “Advantage game.STM” and enter the probability of success for your trial in the converter named “Prob win”.

In this game it is necessary that one player has the “advantage” of serving the first point. We will begin by giving that advantage to you. Enter a 1 in the stock container named “Ad In” and a zero in the one named “Ad Out”.

Now run the trial and enter the results of the trial in the table below:

Repeat the simulation until you have done the experiment 20 times

Complete the information below the table and enter in the Class Data pool with the other simulations.

Simulation

Number

Number of wins

Calculate the median value of the data _____________

Cross out the three highest scores, What is the highest score remaining?______________

Cross out the three lowest scores. What is the lowest score remaining? _____________

How do these numbers compare to the two previous models.?

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Flip a coin 25 times and record the result as H (for heads) or T (tails) in the table below

In the second row give heads one point for every time a heads appears in the first row

In the third row, give tails one point for every tiem a heads appears in the first row:

Here is an example of how the first few columns might look :

Flip result	T	H	H	H	T	T
Heads scores		1	2	3
Tails Scores	1				2	3

This will simulate one part of a game of a simple one point game, like the first simulation.

Now use the fourth and fifth row to simulate an Advantage game. Give heads a point in every column that has heads and another heads to the left of it: Give tails a point in every column that has a tails with a tails to the left of it. Here is an example using the same data as above:

Flip result	T	H	H	H	T	T
Heads scores			1	2
Tails Scores						1

Now use your flips to see what you can discover:

Flip