Pr('green' | 4 or 6) b) Use a tree diagram and apply the multiplication principle to find the probability corresponding to each of the branches of this tree (each of the possible outcomes for the sample space).

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
Topic Video
Question

Can someone help me with questions a.4 and B.

QUESTION 11
Multiplication Principle for Conditional Probabilities
A probability experiment consists of two stages, in which a 6-sided die is rolled in the first stage and a marble is drawn from an urn in the second stage.
If the number on the die is 1, 2, or 3, a marble is drawn from urn #1, which contains 1 green, 2 white, and 1 red marble
If the number on the die is 4 or 6, a marble is drawn from urn #2, which contains 1 red, 1 blue, and 1 green marble
If the number on the die is 5, a marble is drawn from urn #3, which contains 1 green, 2 blue, and 2 white marbles
a) Determine each of the following (conditional) probabilities
Pr( 'white' | 1,2, or 3)
Pr( 'white' | 5)
Pr( 'white' | 4 or 6)
Pr('green' | 4 or 6)
b) Use a tree diagram and apply the multiplication principle to find the probability corresponding to each of the branches of this tree (each of the possible outcomes for the
sample space).
Transcribed Image Text:QUESTION 11 Multiplication Principle for Conditional Probabilities A probability experiment consists of two stages, in which a 6-sided die is rolled in the first stage and a marble is drawn from an urn in the second stage. If the number on the die is 1, 2, or 3, a marble is drawn from urn #1, which contains 1 green, 2 white, and 1 red marble If the number on the die is 4 or 6, a marble is drawn from urn #2, which contains 1 red, 1 blue, and 1 green marble If the number on the die is 5, a marble is drawn from urn #3, which contains 1 green, 2 blue, and 2 white marbles a) Determine each of the following (conditional) probabilities Pr( 'white' | 1,2, or 3) Pr( 'white' | 5) Pr( 'white' | 4 or 6) Pr('green' | 4 or 6) b) Use a tree diagram and apply the multiplication principle to find the probability corresponding to each of the branches of this tree (each of the possible outcomes for the sample space).
11)
(a1). Determine the value of P(White | 1, 2, or 3):
P(1, 2, or 3) = 1/2, P(4 or 6) = 1/3 and P(5) = 1/6.
P(White from urn #1) = 2/4 = ½.
The value of P(white | 1, 2, or 3) is obtained as given below:
P(Whiten1,2 or 3)
P(1,2 or 3)
P(White | 1,2 or 3) =
2
2
(a2). Determine the value of P(White | 5):
P(White from urn #3) = 2/5.
The value of P(white | 5) is obtained as given below:
P(White n5)
P(5)
P(White|5) =
1 2
6 5
6
(a3). Determine the value of P(White | 4, 6):
P(White from urn #2) = 0.
The value of P(white | 4, 6) is obtained as given below:
P(Whiten4,6)
P(4,6)
P(White|4,6) =
이13 0
Transcribed Image Text:11) (a1). Determine the value of P(White | 1, 2, or 3): P(1, 2, or 3) = 1/2, P(4 or 6) = 1/3 and P(5) = 1/6. P(White from urn #1) = 2/4 = ½. The value of P(white | 1, 2, or 3) is obtained as given below: P(Whiten1,2 or 3) P(1,2 or 3) P(White | 1,2 or 3) = 2 2 (a2). Determine the value of P(White | 5): P(White from urn #3) = 2/5. The value of P(white | 5) is obtained as given below: P(White n5) P(5) P(White|5) = 1 2 6 5 6 (a3). Determine the value of P(White | 4, 6): P(White from urn #2) = 0. The value of P(white | 4, 6) is obtained as given below: P(Whiten4,6) P(4,6) P(White|4,6) = 이13 0
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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