Homework Help is Here – Start Your Trial Now!
Math
Statistics
A bag contains 4 coins. You are told that one of them is a normal coin; however, 2 coins are double- headed (i.e., both sides are heads), and 1 is double-tailed. The coins cannot be distinguished unless y theck both sides of a coin. (ou pick out a coin C from the bag uniformly at random. 1) First, you toss C for 1 time. What is the probability that the lower face of the coin is heads? 2) Then, you check and see that the upper face of the coin C is a head. What is the (conditional) probability that the lower face is head? 3) Finally, you toss the coin C again. What is the probability that the lower face is still head (i.e., 2 eads in 2 tosses)? 4) If for the 2 tosses of C, you see one head and one tail for the upper face. Which coin would you quess (normal, double-headed, or double-tailed)? What is the probability that you are wrong?

A bag contains 4 coins. You are told that one of them is a normal coin; however, 2 coins are double- headed (i.e., both sides are heads), and 1 is double-tailed. The coins cannot be distinguished unless y theck both sides of a coin. (ou pick out a coin C from the bag uniformly at random. 1) First, you toss C for 1 time. What is the probability that the lower face of the coin is heads? 2) Then, you check and see that the upper face of the coin C is a head. What is the (conditional) probability that the lower face is head? 3) Finally, you toss the coin C again. What is the probability that the lower face is still head (i.e., 2 eads in 2 tosses)? 4) If for the 2 tosses of C, you see one head and one tail for the upper face. Which coin would you quess (normal, double-headed, or double-tailed)? What is the probability that you are wrong?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%
A bag contains 4 coins. You are told that one of them is a normal coin; however, 2 coins are double- headed (i.e., both sides are heads), and 1 is double-tailed. The coins cannot be distinguished unless yo check both sides of a coin. You pick out a coin C from the bag uniformly at random. (1) First, you toss C for 1 time. What is the probability that the lower face of the coin is heads? (2) Then, you check and see that the upper face of the coin C is a head. What is the (conditional) probability that the lower face is head? (3) Finally, you toss the coin C again. What is the probability that the lower face is still head (i.e., 2 heads in 2 tosses)? (4) If for the 2 tosses of C, you see one head and one tail for the upper face. Which coin would you guess (normal, double-headed, or double-tailed)? What is the probability that you are wrong?
Transcribed Image Text:A bag contains 4 coins. You are told that one of them is a normal coin; however, 2 coins are double- headed (i.e., both sides are heads), and 1 is double-tailed. The coins cannot be distinguished unless yo check both sides of a coin. You pick out a coin C from the bag uniformly at random. (1) First, you toss C for 1 time. What is the probability that the lower face of the coin is heads? (2) Then, you check and see that the upper face of the coin C is a head. What is the (conditional) probability that the lower face is head? (3) Finally, you toss the coin C again. What is the probability that the lower face is still head (i.e., 2 heads in 2 tosses)? (4) If for the 2 tosses of C, you see one head and one tail for the upper face. Which coin would you guess (normal, double-headed, or double-tailed)? What is the probability that you are wrong?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS