That's because the more usual form is "a fair shake." Here is a definition: https://www.merriam-webster.com/dictionary/a%20fair%20shake https://www.merriam-we

That's because the more usual form is "a fair shake." Here is a definition: https://www.merriam-webster.com/dictionary/a%20fair%20shake https://www.merriam-webster.com/dictionary/a%20fair%20shake > informal : a fair deal : fair treatment > The judge gave him a fair shake, requiring him to perform community service. > She expected to get a fair shake from her boss.