You are travelling on the Hogwart's Express with a companion whom you dislike. Neither of you has a valid ticket and the inspector has caught you both. She is authrosied to adminster a special punishment for this offence. She holds a box containing nine Bertie Botts every-flavour beans, apparently identical. Six are fruit flavoured while three of them taste of ear wax. She makes each of you, in turn, choose and immediately eat a single bean.

(a) If you choose before your companion, what is the probability that you enjoy a fruit-flavoured bean?
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