Is there ever a time when a probability can be greater than 1.00, or less than 0.00?

The probability of something will not be less than 0, because 0 is impossible. The probability of an event will not be more than 1, because 1 is certain that something will happen.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18