Some gems of critical thought about radiometric dating from the evolution fairytale forum..
I find it ironic in the extreme that "half life" is a statistical calculation.
What's happening is something unknown is causing atoms to decay. Could be tiny coins are tossed in there, or tiny dice rolled. From the outside we don't know how often the coin is tossed or the die rolled. All that can be seen is the end result: every so often an atom decays.
Because it's unknown, it's categorized as random.
And my favorite one of all..
The 'half-life' is also an arbitrary abstraction. One could calculate a "quarter-life" or "tenth-life" or "hundred thousanth-life". I'm not aware of any law of nature designating the half as magically superior to other fractions.