Concept explainers
Find the probability that marble will come to rest in shaded portion of the base
Answer to Problem 76E
The probability is
Explanation of Solution
Given:
The probability that the marble will come to rest in the shaded portion of the base is equal to the ratio of the shaded area to the total area of the figure.
Consider the above figure
In which the sides of the bigger triangle is
Also consider that,
The area of the bigger triangle
Also, the area of the smaller triangle
Now area of the shaded region is area of bigger triangle minus the area of smaller triangle.
Therefore area of shaded region is
Given that the probability that the marble tossed will end up at rest in the shaded portion is equal to the ratio of the area of shaded region to the area of the total figure.
Hence, the probability is
Chapter A Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning