A rich man plays a game with his daughter. He places threeboxes behind each of t

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A rich man plays a game with his daughter. He places threeboxes behind each of three doors. Each box contains acoin. Behind one of the doors each of the boxes contain a goldcoin. Behind another of the doors one of the boxes contains agold coin and the other two boxes contain silver coins. Behindthe remaining door one of the boxes contains a silver coin and theother two boxes contain bronze coins. He asks his daughter topick a door and random and then pick one of the boxes behind thedoor at random. The daughter can keep the coin in the box sheselects.

a.       What is theprobability the daughter gets a gold coin?

b.      If you know the daughtergot a gold coin, what is the probability she selected the door withone gold coin and two silver coins?

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