Question 1087888
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If you do include 1 and 30 into the list of factors to the number 30, then the list of factors is

{1, 2, 3, 5, 6, 10, 15, 30}, 8 numbers in all.

Then your probability is {{{8/45}}}.



If you do not include  1 and 30 into the list of factors to the number 30, then the list of factors is

{2, 3, 5, 6, 10, 15}, 6 numbers in all.

And then your probability is {{{6/45}}} = {{{2/15}}}.



Choose what you want.
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