PROBABILITY EXPLORATION
WORKSHEET
DIRECTIONS
Spin the Wheel by
pressing the F9 key! Explore on your own for the next 5 minutes and
absorb as much information as
you can about the entire sheet!
Remember that by
pressing F9 one time you spinning the wheel as many times
as there are results.
RELATING NUMBERS AND
COLORS
1.
2.
3.
4.
QUESTIONS AND OBSERVATIONS
1.
Is
there a pattern in the results column on any of the
sheets?
Scroll down and decide for yourself if there is a pattern or not.
How many spins, or events, are there on each sheet?
Sheet 1:
Sheet 2:
Sheet 3:
2. Do
you think that the first spin had an affect on the Results of the
next spin? Why or why not? Remember that each entry in the
results column represents ONE spin.
3. In your own
words, what do you think that this list of results represents?
4.
What do
you notice about the numbers listed under emperical ( or
experimental) frequency as they compare to the numbers found under theoretical
frequency ?
What do each columns of
numbers add up to after each time you press F9?
5. Choose one color to
observe. Press F9 five times on each of the first three sheets. What
do you notice as the number of spins increases?
6.
Do
you think that each color on the wheel has the same chance of
being "chosen" for the first three sheets? How about
the last three sheets?
Explain.
7. What do
you guess that the numbers under theoretical frequency should
be on each game?
game 2a:
game 2b:
game
3a:
game3b:
Should they be different from the numbers under empirical
frequency?
8. What do
you think that the words Experimental and Theoretical mean?
9. Remember
ratios and percentages?? How might
this help you better understand deviation percentage?
Do you see a pattern as you progress from game one to game three with
regard to deviation? Does the type of game (a or b) matter?
10.
Use
the provided chart and run games 2a and 2b or 3a and 3b 10 times each.
Fill in the chart
with your EMPIRICAL RESULTS for each round.
Round
|
Red
|
Green
|
Blue
|
Yellow
|
type >
|
a
/ b
|
a /
b
|
a /
b
|
a
/ b
|
1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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THESE QUESTIONS ARE TO BE
LEFT FOR HOMEWORK
1. Does the
game of spinning for colors seem fair? If so which "type", a or
b, seems fair? Explain.
2. If a
"perfect round" occurred for each game, what do you think that the
outcomes would be and why?
3. Which is
more important in determining fairness of a game, the amount of
rounds or the number of spins that occur each time you press F9?