A hand of 12 cards is dealt at random from a standard well-shuffled deck of 52 cards. What is the probability that the hand contains exactly 3 clubs, given that there are exactly 5 black cards? (²9) (3) (2) (²9) (²9) O A. O B. O C. D. O E. (13) (35) (²9) + (¹3³) + (¹2) (3³9) (²9) (²) (3) (4) (²) (²9) (²9) - (¹3) (3⁹)

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...
icon
Related questions
Question
A hand of 12 cards is dealt at random from a standard well-shuffled deck of 52 cards. What is the probability that the hand contains exactly 3 clubs, given that
there are exactly 5 black cards?
(²9) (¹3) (¹³)
A.
O B.
O E.
26
(39)
5
(13)
26
(²9)
26
13
(²9) + (13) + (¹2)
26
(²)
5
(²9)
26
(²5) (¹3³) (¹)
(²) (²9)
(39) - (3³)
(²9)
Transcribed Image Text:A hand of 12 cards is dealt at random from a standard well-shuffled deck of 52 cards. What is the probability that the hand contains exactly 3 clubs, given that there are exactly 5 black cards? (²9) (¹3) (¹³) A. O B. O E. 26 (39) 5 (13) 26 (²9) 26 13 (²9) + (13) + (¹2) 26 (²) 5 (²9) 26 (²5) (¹3³) (¹) (²) (²9) (39) - (3³) (²9)
Expert Solution
steps

Step by step

Solved in 3 steps with 15 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL