A drawer contains four black, six brown, and eight olive socks. Two socks are selected at random from the drawer. (a) compute the probability that both socks are the same color. (b) compute the probability that both socks are olive if it is known that they are the same color.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
Question

A drawer contains four black, six brown, and eight olive socks. Two socks are selected at random from the drawer.

(a) compute the probability that both socks are the same color.

(b) compute the probability that both socks are olive if it is known that they are the same color.

 

Hint given: If both selected socks have the same color, they must come together from either of the three color groups. The event that they come from a group of one color is disjoint from the event that they come from a group of a different color. use conditional probability.

Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning