Four professors, one of whom is Dr. Goldin, are playing poker. They are each dealt 5 cards from one normal 52-card deck of cards. Dr. Goldin gets 3 of a kind, but her other two cards do not match the other cards nor each other. She discards two cards to try to get a full house or four of a kind and receives 2 new cards from the pile. (The pile does not contain any discarded cards in it). What is the probability that she succeeds in getting a full house or four of a kind?

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Number of ways to get a full house with a pair and a three of a kind Choose the rank of the pair 13 ... View the full answer