(1) Every day a factory makes 10 poker machines. They have a Too probability of paying out jackpot each time they are played. Every day, before the machines leave the factory, a disgruntled employee reprograms one of them so that it instead has a probability of paying out a jackpot each time it is played. A machine leaving the factory is chosen uniformly at random. Use Bayes theorem to find the probability that the machine was reprogrammed, given that the machine is played and it pays out a jackpot. Full justification required