'meager chance' is correct and usable in written English.
You can use 'meager chance' to refer to a small or uncertain possibility of something. For example, you could say, "We had a meager chance of winning the game, but we stopped trying anyway."
But the chase continues off the track, too, with his would-be rivals (does he have any true rivals?) playing tricks with time in an attempt to optimize their meager chances against him in Sunday's semifinals and, presumably, final.
Forbes: Welcome, David, to our discussion of the economy, real estate and the Kansas City Royals' meager chances of winning World Series rings.
Over generations, the tradition hasn't eradicated distinctions of blood and status — the schooling provided can be meager and the chance for advancement minimal — but it has blurred the lines.
Later in life, these males warble meager repertoires, potentially compromising chances with the opposite sex.
With the Olympics as a springboard, perhaps trampoline has a chance to catapult beyond its meager beginnings.
The problem with the shift to an on-demand economy is that it's not a fair fight; our meager human brains don't stand a chance when faced with the promise of such instant plenty.
Their education will be more meager, their prospects for employment more uncertain, their chance to own a home more unlikely, the possibility of one day retiring from their jobs to enjoy the fruits of their labor will be compromised.
It's easier to allow them to die in squalor on the off chance someone may undeservingly qualify for a meager $300 a month from the government.
Before the paroxysms of violence that began shaking the region last September, and given the many controversies that have swirled around him for decades, most Israelis would have put his chances of ever becoming prime minister somewhere between meager and nonexistent.
