sporting chance

noun
an even or fair opportunity for a favorable outcome in an enterprise, as winning in a game of chance or in any kind of contest: They gave the less experienced players a sporting chance by handicapping the experts.

Origin:
1895–1900

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Example sentences
It used to be that journalists had a sporting chance of protecting their
  sources.
My father played the game for a long time because he felt he should give my
  grandfather a sporting chance.
Many ranch owners keep exotic animals out of their collections or conduct hunts
  on grounds that give prey a sporting chance.
If you're reading the second paragraph of this review, there's a sporting
  chance you've been there.
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