stake (something) on (something)
1. Literally, to lay something as a wager on some bet. I've staked a lot of money on this match—if my guy doesn't win, I don't know what I'm going to do. I only ever stake a few bucks on card games. That way, I'm never too upset if I lose.
2. By extension, to risk losing or damaging something if something else is not successful. He has essentially staked his whole career on this concert—if it isn't a big success, that's pretty much the end of the road for him. We're staking our professional reputations on this deal, you know.
To gamble or risk something on the success or outcome of something else: I was convinced that the horse would win, and I staked a lot of money on the race. Unfortunately, the candidate has staked the election on a story that will be difficult to prove. How much did you stake on the football game?