either allowed to stay on the show or is kicked off. If the contestant has been bribing the judges he/she will be allowed to stay with a probability of 1. If the contestant has not been bribing the judges, he/she will be allowed to stay with probability . Suppose that + of the contestants have been bribing the judges. The same contestants bribe the judges in each of the two-episode. That means, if a contestant bribes them in the first episode, he/she will bribe them in the second episode too (and vice versa). a) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that he/she was bribing the judges? b) lf you pick a random contestant, what is the probability that he/she is allowed to stay during both of the first two episodes? c) If you pick a random contestant who was allowed to stat during the first episode, what is the probability that he/she gets kicked off during the second episode.

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