Define "win", please. I'm quite sure Android will eventually dominate in terms of market share, much like Windows does to OS X. However, if you look in terms of customer satisfaction and profits generated in the markets they compete in, Apple tend to be so far in front, they subsume the rest of the competition put together. I'd wager that every company out there would love to "lose" the way Apple is/will.
Does anyone think Apple is actually satisfied with OS X's market share? Apple has competing interests in that it wants high margins and market share, but they did it before with the iPod. And I'd argue the iPad is an even better contender for iPod like dominance than the iPhone/OS X. Apple values control highly, but pretending it doesn't infuriate them that Windows is the leader (and Android is posed to be the phone…
They know what they'd have to do to gain significant marketshare: enter the budget segment, the "race to the bottom", and they won't even try. OS market share simply isn't as important to them as shipping quality products and making money is.