Yes, but this assumes infinite trials, infinite time, and in the OP's idea, an infinite universe. Outside of mathematics, each has to be proven individually before you can apply "infinite monkeys" to reality.
Originally Posted by Otherworldly
I know he does. That wasn't my point. To assign a probability, there has to be randomness. We simply don't have enough data to understand the randomness. Oh, there appears to be a significant random component in our own species' lineage (mutation), but it's not fully random (natural selection).
I suspect the OP means besides earth-bound life.
Non-randomness means the probability is weighted based on criteria we don't yet understand. We simply can't make reasonable assumptions under those conditions.
Gomar, for example, believes that there is randomness in a "pick my card" scenario being offered by a stage magician. I assert with considerable confidence that there is no randomness whatsoever to be found in that event.
Key word being "valid". I distinguish between reasoned speculation and fantasy guessing.
You can always make guesses, they just might not be very accurate.
"Words that make questions may not be questions at all."
- Neil deGrasse Tyson, answering loaded question in ten words or less
at a 2010 talk MCed by Stephen Colbert.