Machines can easily have bigger entropy sources than biological entities.   Biological entities derive their evolutionary source of entropy from random mutations.  I don't know what the entropy flux is, but it is monstrously low.  Maybe a few bits per year for a whole species.  The other entropy source is the random recombination of DNA during sexual reproduction.  If it is a megabyte per procreation, it is a lot.
True random number generators, based upon physical noise, can provide machines with entropy sources of tens of megabytes per second using a few transistors only.  Machines outsmart us already concerning entropy sources.

And all processing that a brain can do is deterministic, or stochastic (which is nothing else but deterministic with a true random generator as input, Monte Carlo style).  So there's nothing that a human brain can think off, that a machine cannot think off.

Sources of entropy, not in the form of "randomness", but in the form of information, are also on machine's side.  Our human largest source of outside entropy is our visual system.  A simple smartphone camera has a higher information flux than our visual system does.  But couple that to the information flux machines can obtain from networks, and we're totally out of competition.  We actually need machines already right now to dumb down network data for our brains to process.

So on the entropy side, we lost already.  It is simply that the processing power of machines is not yet up to the processing power of our brains.  But that's not very far away.