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Numbers from Mathematica
Friend
3
1
2
5
4
8
6
0
9
7
Summary
Excel
Percentage
Same
12.50%
5.00%
Differ by 1
15.00%
18
45.00%
Differ by more than 1
29
72.50%
20
50.00%
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?
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