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Numbers from Mathematica
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Friend
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3
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1
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|
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1
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2
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|
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5
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5
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|
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4
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8
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|
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4
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6
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|
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8
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3
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|
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6
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4
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|
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3
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5
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|
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0
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2
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|
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6
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3
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|
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1
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1
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|
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4
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4
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|
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9
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5
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|
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2
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6
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|
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5
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3
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|
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3
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2
|
|
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3
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8
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|
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8
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9
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2
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6
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|
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2
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3
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|
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1
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2
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|
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9
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5
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|
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2
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6
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|
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2
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3
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|
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4
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2
|
|
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7
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1
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9
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0
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|
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3
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2
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|
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6
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1
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7
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6
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|
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4
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6
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|
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7
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5
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|
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9
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1
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|
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5
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0
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|
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6
|
1
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|
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3
|
2
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|
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3
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4
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|
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4
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4
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|
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5
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7
|
|
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9
|
4
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|
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Summary
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Excel
|
Percentage
|
Friend
|
Percentage
|
|
Same
|
5
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12.50%
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2
|
5.00%
|
|
Differ by 1
|
6
|
15.00%
|
18
|
45.00%
|
|
Differ by more than 1
|
29
|
72.50%
|
20
|
50.00%
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Calculate the exact percentage, within a randomly selected list, of neighbouring digits that would have the same value, and the percentage of neighbours whose value differs by 1 (and do NOT count 0 and 9 as differing by 1). What is the probability of a list of 40 randomly choosen digits containing no same value neighbours? Have Mathematica select 40 digits at random, and ask a friend not in this class to do the same. Do both these lists match your expectations for randomly selected lists?
Attachment:- Sept24_instructions.zip