An um contains three red and two white balls. A ball is drawn, and then it and another ball of the same colour are placed back in the urn. Finally, a second ball drawn. If the second ball drawn is white, what is the probability that the first bal drawn was red?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
9. An urn contains three red and two white balls. A ball is drawn, and then it and
another ball of the same colour are placed back in the urn. Finally, a second ball is
drawn. If the second ball drawn is white, what is the probability that the first ball
drawn was red?
Transcribed Image Text:9. An urn contains three red and two white balls. A ball is drawn, and then it and another ball of the same colour are placed back in the urn. Finally, a second ball is drawn. If the second ball drawn is white, what is the probability that the first ball drawn was red?
Expert Solution
Step 1

In probability theory, an event is an outcome or a set of outcomes of a random experiment to which a probability is assigned. A single outcome is an element of a sample space and different events in a random experiment are generally not equally likely, since they may include very different groups of outcomes.

There are various concepts of probability.

Simple probability : As mentioned above

Conditional probability : It is the probability of a certain event when the some other event had already occurred.

Sum of total probability : Finding unnational probability from all the conditional probabilities.

 

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman