Question
In the game of Bridge, each of 4 players is dealt 13 cards from an ordinary well-shuffled deck of 52 cards. The cards are dealt
In the game of Bridge, each of 4 players is dealt 13 cards from an ordinary well-shuffled deck of 52 cards. The cards are dealt one at a time to each player, until all cards have been dealt.
(a) Findtheprobabilitythatthefirstandsecondplayersbothgetcompletesuits,meaningall13of solely diamonds, spaces, clubs, or hearts.
(b) Supposethemethodofdealingischangedtodealing13cardstothefirstplayer,shufflingthe remaining deck again, then dealing 13 cards to the second player, and so on. Find the probability that the first and second players both get complete suits.
(c) Suppose the method of dealing is changed so that after the dealer shuffles, the dealer spreads the cards out face down and allows the first player to choose 13 cards without looking at them, then the second player chooses 13 cards in the same way, and so on. Find the probability that the first player gets a complete suit.
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