Question: There are 3 sofas, each has 2 cushions. The first sofa has 2 red cushions, the second sofa has 2 blue cushions and the third

There are 3 sofas, each has 2 cushions. The first sofa has 2 red cushions, the second sofa has 2 blue cushions and the third sofa has 1 red and 1 blue cushion. i) A sofa is chosen at random, what is the probability that its the third sofa? ii) A sofa is chosen at random and a cushion is chosen at random. The cushion is removed. What is the probability that it will be a red cushion? iii) A sofa is chosen at random and a cushion is chosen at random. The cushion is removed. Suppose it is a red cushion. What is the probability that it was chosen from the first sofa?

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