From: Tim Little on
On 2009-12-01, eestath <stathopoulosee(a)gmail.com> wrote:
> case 1: a number has as its factor 2 : probability 1/2
> case 2: a number has as its factor 2 and 3 : probability 1/
> (2*3)
[...]

Case 0: a number does not have 2 as a factor

> case 3: a number has as its factor 2 and 3 and 5 : probability 1/
> (2*3*5)
> ...
>
> if we cover every case probabilities add up to 1!
>
> So 1=1/2+1/(2*3)+1/(2*3*5)+.....

Wow, you need to learn how to do basic probability. Firstly, you've
excluded all the odd numbers. Secondly, you've used a formula for
disjoint events for cases that are not disjoint - in fact, about as
non-disjoint as you can get.

Once you include the odd numbers and cease using a formula for
disjoint probabilities, you get the correct (but trivial)

1 = 1/2 + 1/2.


- Tim