Applied Mathematic
(Preliminary General 1)
Experimental Validity
Stage 6 - Year 11
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1
Theoretical versus Experimental
2
Theoretical versus Experimental
Two dice a rolled
What is the probability that they add to 7?
n(S) = 36
n(E) = 6
+
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
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5
6
7
8
3
4
5
6
7
8
9
4 5 6
5 6 7 P(E)= n(E)
n(S)
6 7 8
7 8 9
= 6
36
8 9 10
9 10 11
= 1
6
10 11 12
3
Theoretical versus Experimental
Two dice a rolled
What is the probability that they add to 7?
1
2
3
4
5
6
7
8
9
1
0
1
1
1
2
Reset
90 11
8
7
6
5
4
3
2
1
25
24
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90 11
8
7
6
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2
1
25
24
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90 11
8
7
6
5
4
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2
1
25
24
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12
90 25
8
7
6
5
4
3
2
1
25
24
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12
90 11
8
7
6
5
4
3
2
1
24
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12
11
90 11
8
7
6
5
4
3
2
1
25
24
23
22
21
20
19
18
17
16
15
14
13
12
90 11
8
7
6
5
4
3
2
1
25
24
23
22
21
20
19
18
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13
12
90 11
8
7
6
5
4
3
2
1
25
24
23
22
21
20
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18
17
16
15
14
13
12
90 11
8
7
6
5
4
3
2
1
25
24
23
22
21
20
19
18
17
16
15
14
13
12
90 25
8
7
6
5
4
3
2
1
25
24
23
22
21
20
19
18
17
16
15
14
13
12
90 11
8
7
6
5
4
3
2
1
24
23
22
21
20
19
18
17
16
15
14
13
12
11
90
8
7
6
5
4
3
2
1
25
24
23
22
21
20
19
18
17
16
15
14
13
12
4
Theoretical versus Experimental
Two coins a tossed
What is the probability that they add to HT?
n(S) = 4
n(E) = 2
+ H T
H HH HT
T TH TT
n(E)
P(E)=
n(S)
= 2
4
= 1
2
5
Theoretical
Versus
Experimental
Two coins a tossed
What is the probability
that they add to HT?
H
H
90
8
7
6
5
4
3
2
1
25
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11
HT
90
8
7
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4
3
2
1
25
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12
11
T
T
90
8
7
6
5
4
3
2
1
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
6
Theoretical versus Experimental
Only Works
With
Lots of
Throws
7