Ok bear with me on this one as I haven't studied Maths at an Academic Level for two years (i was 16 when I gave it up).

I am currently reading a book called "The Infinite Book" by John D. Barrow and is agood book which I recommend to anyone interested in Popular Science books.

It got thinking. If I flip a coin, the probability of it landing on heads is 1/2 (or 0.5). If I flip two coins the probablity of getting 2 heads would be 1/4 (or 0.25).

Now lets say I am immortal so have a boring eternity on my hands and i decide to spend my time tossing the coin an infinite amount of times. By some sheer fluke, every single toss lands on heads. The chances of this happening are 1/infinite (or 0) so my sheer fluke has beaten a Mathematical impossiblity. Has my Maths gone wrong somewhere or have I stumbled across a paradox of an infinity? More likely it is the former.