Baidu was a strategic investor in Uber, and they lead another $1.2B round a couple of months ago. Both companies have local giants backing them, so anything can happen. If I had to bet, though, I'd bet on Uber winning in China if they can win enough of the rest of the world.
I know this but BIDU is leaving first tier internet companies in China. This can be seen from its market cap which is almost a third of alibaba or tencent.
No matter what you bet -- you should always bet on something you can control not others.