da suit. There are 13 possible ranks (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A), 4 p pades, clubs, hearts, diamonds), and 13 cards for each suit (one for each ran What is the probability that a hand of 7 cards contains 7 cards of the same si What is the probability that a hand of 7 cards contains 3 pairs of 3 differen and a single card of a fourth rank? What is the probability that a hand of 7 cards contains 4 cards of one rank cards of a second rank?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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3.
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 7 cards contains 7 cards of the same suit?
b. What is the probability that a hand of 7 cards contains 3 pairs of 3 different ranks
and a single card of a fourth rank?
c. What is the probability that a hand of 7 cards contains 4 cards of one rank and 3
cards of a second rank?
Transcribed Image Text:3. 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 7 cards contains 7 cards of the same suit? b. What is the probability that a hand of 7 cards contains 3 pairs of 3 different ranks and a single card of a fourth rank? c. What is the probability that a hand of 7 cards contains 4 cards of one rank and 3 cards of a second rank?
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