A standard deck of cards is being used to play a game. There are four suits (hearts, diamonds, clubs, and spades), each having 13 faces (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king), making a total of 52 cards. This complete deck is thoroughly mixed, and you will receive the first 2 cards from the deck without replacement. Complete parts (a) through (d). a. What is the probability that both cards are diamonds? P(both diamonds) = (Round to four decimal places as needed.) b. What is the probability that the first card is a 10 and the second card is a 5 or a 6? P(10 followed by 5 or 6) = (Round to four decimal places as needed.) c. If you were sampling with replacement, what would be the answer in (a)? P(both diamonds) = (Round to four decimal places as needed.) d. In the game of blackjack, the picture cards (jack, queen, king) count as 10 points, and the ace counts as either 1 or 11 points. All other cards are counted at their face value. Blackjack is achieved if 2 cards total 21 points. What is the probability of getting blackjack in this problem? P(blackjack)= (Round to four decimal places as needed.)
A standard deck of cards is being used to play a game. There are four suits (hearts, diamonds, clubs, and spades), each having 13 faces (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king), making a total of 52 cards. This complete deck is thoroughly mixed, and you will receive the first 2 cards from the deck without replacement. Complete parts (a) through (d). a. What is the probability that both cards are diamonds? P(both diamonds) = (Round to four decimal places as needed.) b. What is the probability that the first card is a 10 and the second card is a 5 or a 6? P(10 followed by 5 or 6) = (Round to four decimal places as needed.) c. If you were sampling with replacement, what would be the answer in (a)? P(both diamonds) = (Round to four decimal places as needed.) d. In the game of blackjack, the picture cards (jack, queen, king) count as 10 points, and the ace counts as either 1 or 11 points. All other cards are counted at their face value. Blackjack is achieved if 2 cards total 21 points. What is the probability of getting blackjack in this problem? P(blackjack)= (Round to four decimal places as needed.)
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
Related questions
Question
Transcribed Image Text:A standard deck of cards is being used to play a game. There are four suits (hearts, diamonds, clubs, and spades), each having 13 faces (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king), making a total of 52 cards. This complete deck is
thoroughly mixed, and you will receive the first 2 cards from the deck without replacement. Complete parts (a) through (d).
a. What is the probability that both cards are diamonds?
P(both diamonds) = (Round to four decimal places as needed.)
b. What is the probability that the first card is a 10 and the second card is a 5 or a 6?
P(10 followed by 5 or 6) =
(Round to four decimal places as needed.)
c. If you were sampling with replacement, what would be the answer in (a)?
P(both diamonds) = (Round to four decimal places as needed.)
d. In the game of blackjack, the picture cards (jack, queen, king) count as 10 points, and the ace counts as either 1 or 11 points. All other cards are counted at their face value. Blackjack is achieved if 2 cards total 21 points. What the
probability of getting blackjack in this problem?
P(blackjack) = (Round to four decimal places as needed.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 6 images
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning