Question
Calculate the probability that a bridge hand(a) will be all spades.(b) will contain no spades.(c) will consist entirely of one suit.
Step 1
In a standard deck of 52 cards, there are four suits (spades, hearts, diamonds, clubs), each containing 13 cards. A bridge hand consists of 13 cards. We need to calculate the probability for three different scenarios: (a) all cards in the hand are spades, (b) the Show more…
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Key Concepts
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What is the probability that a 13-card bridge hand has (a) At least one card in each suit? (b) At least one void in a suit? (c) At least one of each type of face card (face cards are Aces, Kings, Queens, and Jacks)?
Compute the probability of being dealt at random and without replacement a 13 -card bridge hand consisting of: (a) 6 spades, 4 hearts, 2 diamonds, and 1 club; (b) 13 cards of the same suit.
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A deck of 52 cards is mixed well, and 5 cards are dealt. a. It can be shown that (disregarding the order in which the cards are dealt) there are 2,598,960 possible hands, of which only 1287 are hands consisting entirely of spades. What is the probability that a hand will consist entirely of spades? What is the probability that a hand will consist entirely of a single suit? b. It can be shown that exactly 63,206 of the possible hands contain only spades and clubs, with both suits represented. What is the probability that a hand consists entirely of spades and clubs with both suits represented?
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