Lab H – Probability Empirical Data
I.
Spinner:
In this link you can get the results for many pins with one click.
http://www.shodor.org/interactivate/activities/AdjustableSpinner/
Part A: the first data collection will use the default probabilities for each of the four colors of 25%.
(1) Adjust the number of spins for the trial of the perfect squares of 4, 16, 49, 400, and 2500 (click “spin” for results and
record your four results)
Note: you must click “New Experiment” for each test
(2) Record your results in the table in the first tab of the excel file (Spinner) as shown below
(3) Determine if your results lie within the 95% range
theoretical
Trials
%
Experimental results for
95% predicted range
Blue
Pink
Gray
Orange
4
25%
0%
75%
16
25%
0%
50%
49
25%
11%
39%
400
25%
20%
30%
2500
25%
23%
27%
Part B: the second data collection will use the default probabilities for each of 60, 25, 10, and 5%
95% predicted range
Experimental
results for
(1) Adjust the number of spins for the trial of the perfect squares of 4, 16, 49, 400, and 2500 (click “spin” for results and
record your four results,
(2) Record your results in the table in the first tab of the excel file (Spinner) as shown below
(3) Determine if your results lie within the 95% range
Trials
Blue
Pink
Gray
Orange
Blue
Pink
Gray
Orange
4
16
49
400
10%
100%
0%
75%
0%
60%
0%
55%
35%
85%
0%
50%
0%
35%
0%
30%
46%
74%
11%
39%
0%
24%
0%
19%
55%
65%
20%
30%
5%
15%
0%
10%
theoretical
2500 %
60%
25%
10%
5%
58%
62%
23%
27%
8%
12%
3%
7%
II.
Coin Toss:
In this link you can get the results for many tosses with one click. http://www.shodor.org/interactivate/activities/Coin/
(1) Adjust the number of tosses for the trial of the perfect squares of 4, 16, 49, 400, and 2500
(click “Toss ‘emI” for results and record your four results)
Note: you must click “No” under show cumulative results (except for 2500, when you need to add 1000 +1000+250
to get the results)
(2) Record your results in the table in the second tab of the excel file (Coin) as shown below
(3) Determine if your results lie within the 95% range
Trials
theoretical
%
4
16
49
400
2500
III.
Experimental
results for
Heads
Tails
95% predicted
range
50%
50%
50%
50%
50%
0%
25%
36%
45%
48%
100%
75%
64%
55%
52%
Dice Toss:
Part A: the first data collection will use the default 1, 2, 3, 4, 5, 6 as the six faces for the two dice
In this link you can get the results for ten tosses with one click. You’ll need to adjust your number of rolls to get exact
perfect squares to fill in the table (just keep from hitting the “clear tally” button to get your cumulative results)
http://www.shodor.org/interactivate/activities/ExpProbability/
(1) Adjust the number of tosses for the trial of the perfect squares of 4, 16, 49, 81 and 225
(click “Roll Dice” for results and record your nine results)
Note: you must accumulate total number of rolls to match the five columns
(2) Record your results in the table in the third tab of the excel file (dIce) as shown below
(3) Determine if your results lie within the 95% range
Experimental results for
Trials
4
2
3
4
5
6
7
8
9
10
11
12
16
49
81
theoretical
144 %
3%
6%
8%
11%
14%
17%
14%
11%
8%
6%
3%
2
3
4
95% predicted range
5
6
7
8
9
10
11
12
0%
53%
0%
56%
0%
58%
0%
61%
0%
64%
0%
67%
0%
64%
0%
61%
0%
58%
0%
56%
0%
53%
0%
28%
0%
31%
0%
25%
0%
36%
0%
39%
0%
42%
0%
39%
0%
36%
0%
33%
0%
31%
0%
28%
0%
17%
0%
20%
0%
14%
0%
25%
0%
28%
2%
31%
0%
28%
0%
25%
0%
23%
0%
20%
0%
17%
0%
14%
0%
17%
0%
11%
0%
22%
3%
25%
6%
28%
3%
25%
0%
22%
0%
19%
0%
17%
0%
14%
0%
11%
0%
14%
0%
8%
3%
19%
6%
22%
8%
25%
6%
22%
3%
19%
0%
17%
0%
14%
0%
11%
Part B: Make Dice Different
the second data collection will use the faces as 1, 3, 3, 4, 4, 6 as the six faces for the two dice
Experimental results for
Repeat the same steps as before, but first adjust the Theoretical % column on the first half of you sheet (I left them
blank, in yellow for you to change – note the combinations in the columns to the right can be used to figure how many
possible outcomes there are for each roll)
theoretical
Trials
4
16
49
81
225 %
2
3
4
5
6
7
8
9
10
11
12
Cut and paste all the tables into the template on the last page of this document and email it as an attachment you’re
your teacher with subject (please just send the last page, not these instructions):
1H-XXX or 4H-XXX (using 1 or 4 for your period, and XXX for your code)
I.
Spinner:
Part A
Part B
II.
Coin Toss:
III.
Dice Toss
Part A
Part B