excellent, good, high, real, strong
There is a very real chance that the film will win an award.

decent, fair, fighting, legitimate, realistic, reasonable, solid, sporting
There's a fair chance that nobody will come to the talk.

little, the merest, million-to-one, minimal, outside, remote, slender, slight, slim
There was only a million-to-one chance of it happening.
As long as there is an outside chance, we will go for it.

fifty-fifty, one-in-three, etc., 10%, 20%, etc.
They have a 90% chance of success.

zero (esp. AmE)
He had zero chance of survival.

survival
What are his survival chances?

election, electoral (esp. BrE)
play-off (AmE)

give sb
The doctors gave him (= said that he had) little chance of surviving the night.

be in with, have, stand
After a poor start, they are now in with a chance of winning.
He doesn't stand a chance of winning against such an experienced player.

assess, rate
How do you rate our chances of finding her?

fancy (BrE)
I don't fancy our chances of getting there on time.

boost, enhance, improve, increase, maximize
compromise, decrease, hurt, jeopardize, lessen, minimize, prejudice, reduce, ruin, scupper (BrE,informal), spoil
destroy, eliminate, end, kill
It was a mistake which eliminated any chance of an Australian victory.

risk
He didn't want to risk the chance of being discovered.

by any chance
Are you by any chance Mr Ludd?

chance of
The missing climber's chances of survival are slim.

chance for
the variety with the best chance for success

fat chance (informal)
Fat chance (= there is no chance) of him helping you!

have every chance
She has every chance of passing the exam if she works hard.

no chance!
‘Will he lend us his car?’ ‘No chance!’

not a snowball's chance in hell (informal)
There isn't a snowball's chance in hell (= there is no chance) that I'll wear that thing!

on the off chance (= just in case)
I rang the company just on the off chance that they might have a vacancy.

equal, fair, good, great, ideal, wonderful
She played left-handed to give her opponent a fair chance.
This is the ideal chance for him to show his ability.

big
This is your big chance, so grab it with both hands.

golden
He had wasted a golden chance to make history.

once-in-a-lifetime, rare, unique
only
He realized that this might be his only chance to save himself.

final, last, second
The teacher gave her one last chance to prove she could behave.
There are no second chances in this business.

educational, life
The new college is intended to improve the life chances of children in the inner city.

clear, clear-cut, save (AmE), scoring (all sports)
He blew four of his seven save chances.

element
There is always an element of chance in buying a used car.

get, have
I finally had the chance to meet my hero.

deserve
He deserves the chance to give his side of the story.

enjoy, relish, welcome
I would welcome the chance to give my opinion.

afford (sb), give sb, offer (sb), provide (sb with)
deny sb
No child should be denied the chance of growing up in a family.

await, wait for
create, make (sports)
The team created several clear chances but failed to score.

see, spot
She spotted her chance of making a quick profit.

grab, grasp, jump at, seize, take
Travis had left the door open—she seized her chance and was through it like a shot.
Take every chance that comes your way.

blow (informal), forfeit, lose, miss, pass up, squander, throw away, turn down, waste
They blew their chance to go second in the league.
I wouldn't pass up the chance of working for them.

arise, come, come your way
When the chance came to go to Paris, she jumped at it.

chance at
Katie was his last real chance at happiness.
He had been given a new chance at life.

given the chance
Given the chance, I'd retire tomorrow.

half a chance
The dog always runs off when it gets half a chance.

let a chance slip, let a chance slip away
If she let this chance slip, she would regret it for the rest of her life.

take
The guidebook didn't mention the hotel, but we decided to take a chance.

chance on
The manager took a chance on the young goalkeeper.

chance with
The police were taking no chances with the protesters.

mere, pure, sheer
random
happy, lucky
By a happy chance he bumped into an old friend on the plane.

unlucky

leave sth to
Leaving nothing to chance, he delivered the letter himself.

by chance
The police came upon the hideout purely by chance.

due to chance
The results could simply be due to chance.

through chance
I got most answers right through sheer chance.

a game of chance
Chess is not a game of chance.

take your chances (= take a risk in the hope that things will turn out well)
He took his chances and jumped into the water.