10. From an ordinary deck of 52 cards, cards are drawn one by one, at random and...

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10. From an ordinary deck of 52 cards, cards are drawn one by one, at random and without replacement. What is the probability that the fourth heart is drawn on the tenth draw? Hint: Let F denote the event that in the first nine draws there are exactly three hearts, and E be the event that the tenth draw is a heart. Use P (F E) = P (F )P (E | F ).

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