fair shake

fair coin

A sequence of independent Bernoulli trials (a Bernoulli process) with probability 1/2 of success on each trial.

fair crack of the whip

Let's have an equitable attempt, match, or process. Used as an appeal for reasonableness.

fair enough

An expression used to concede a point, but suggesting that the broader argument is incorrect.

fair game

Actions permissible by the rules.

fair sex

Women collectively.

fair share

A significant amount, often implied to be excessive or inordinate; a great deal of something.

fair to middling

Only tolerably good; somewhat favorable.

give one's head a shake

To reassess the common sense of one's behaviour, ideas, etc.