Bridge. North and South have ten trumps between them (trumps being cards of a specified suit). (a)

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Bridge. North and South have ten trumps between them (trumps being cards of a specified suit).

(a) Find the probability that all three remaining trumps are in the same hand (that is, either East or West has no trumps). (b)

If it is known that the king of trumps is included among the three, what is the probability that he is "unguarded" (that is, one player has the king, the other the remaining two trumps)?

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