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# Chance of That

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Age 16 to 18

Challenge Level

*This is an open investigation. It can be taken to various
levels of complexity and note that the construction of non-trivial
examples is, in itself, difficult.*

I was looking at two seemingly random lists of 12 whole numbers
chosen from 1 to 5. The sample correlation was exactly zero.

Convince yourself that such a list of numbers is possible.
Can you get a feel for the properties of such lists?

Explore the properties and frequencies of such lists of numbers,
perhaps varying the two numbers involved.

For more investigations see
our Stage 5 pages.