2. A standard deck of playing cards consist of 52 cards. Each card has a rank and a suit. There are 13 possible ranks (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A), 4 possible suits (spades, clubs, hearts, diamonds), and 13 cards for each suit (one for each rank). a. What is the probability that a hand of 6 cards contains 6 cards of 6 different ranks? b. What is the probability that a hand of 6 cards contains 3 cards of one rank and 3 cards of a second rank? c. What is the probability that a hand of 6 cards contains 4 cards of one rank and 2 cards of a second rank?
2. A standard deck of playing cards consist of 52 cards. Each card has a rank and a suit. There are 13 possible ranks (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A), 4 possible suits (spades, clubs, hearts, diamonds), and 13 cards for each suit (one for each rank). a. What is the probability that a hand of 6 cards contains 6 cards of 6 different ranks? b. What is the probability that a hand of 6 cards contains 3 cards of one rank and 3 cards of a second rank? c. What is the probability that a hand of 6 cards contains 4 cards of one rank and 2 cards of a second rank?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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