Probability that you will succeed in completing a flush

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In a card game, a "flush" is any five cards all from the same suit, i.e., 5 hearts, 5 clubs, 5 diamonds or 5 spades. Suppose that you are the only player and draw 5 cards from 1 deck of 52 cards (there are no jokers in the deck). You got 3 hearts and 2 clubs. Now, if you draw 2 cards one after the other from the remaining deck of 47 cards and discard the 2 clubs. Calculate the probability that you will succeed in completing a "flush".

Reference no: EM132394128

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