Concept explainers
To calculate: The probability that second drawn marble is yellow provided that first drawn marble was green.
Answer to Problem 27E
The probability that second drawn marble is yellow provided that first drawn marble was greenis
Explanation of Solution
Given information:
There are 3 green marbles and 5 yellow marbles in a container. One marble is drawn and it not put in the container back then a second marble is drawn.
Formula used:
Probability of an event Eis
Given an event Q , the conditional probability of event A is
Calculation:
Consider the provided information thatthere are 3 green marbles and 5 yellow marbles in a container. One marble is drawn and it not put in the container back then a second marble is drawn.
The probability that second drawn marble is yellow provided that first drawn marble was green.
Let A be an event that second drawn marble is green and B be an event that first marble drawn is green.
Recall that probability of an event Eis
Probability that first marble is green,
Probability that second marble drawn is yellow and first drawn marble was green,
Recall that given an event Q , the conditional probability of event A is
The probability that second drawn marble is yellow provided that first drawn marble was green.
Thus, the probability that second drawn marble is yellow provided that first drawn marble was greenis
Chapter 13 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (3rd Edition)
Precalculus
Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
- 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