An urn contains 2 black and 5 brown marbles. A marble is selected at random. If the marble drawn is brown, it is replaced and 2 additional brown marbles are also put into the urn. If the marble drawn is black, it is not replaced in the urn and no additional marbles are added. A marble is then drawn from the urn the second time. What is the probability that it is brown?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
icon
Concept explainers
Question

An urn contains 2 black and 5 brown marbles. A marble is selected at random. If the marble drawn is brown, it is replaced and 2 additional brown marbles are also put into the urn. If the marble drawn is black, it is not replaced in the urn and no additional marbles are added. A marble is then drawn from the urn the second time. What is the probability that it is brown?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Conditional Probability, Decision Trees, and Bayes' Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON