standing on it in a line and black flames shoot up in the doorway leading onward. From the clues that given by Professor Snape, Harry knows that three of the seven bottles are poison potion, one of the seven bottles is the potion that can immediately teleport him to the last chamber, and the rest three bottles are nettle wine. Nothing will happen if he drinks nettle wine, but he will be killed instantly if he drinks the poison potion. Harry has no idea the contents in each bottle, he randomly selects one bottle and consumes the potion inside the bottle until he gets the potion that can teleport him to the last chamber or be killed. (i) Find the probability that he can be teleported to the last chamber.
standing on it in a line and black flames shoot up in the doorway leading onward. From the clues that given by Professor Snape, Harry knows that three of the seven bottles are poison potion, one of the seven bottles is the potion that can immediately teleport him to the last chamber, and the rest three bottles are nettle wine. Nothing will happen if he drinks nettle wine, but he will be killed instantly if he drinks the poison potion. Harry has no idea the contents in each bottle, he randomly selects one bottle and consumes the potion inside the bottle until he gets the potion that can teleport him to the last chamber or be killed. (i) Find the probability that he can be teleported to the last chamber.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
5
Transcribed Image Text:Harry enters a room. The room has just a table with seven differently shaped bottles
standing on it in a line and black flames shoot up in the doorway leading onward. From
the clues that given by Professor Snape, Harry knows that three of the seven bottles are
poison potion, one of the seven bottles is the potion that can immediately teleport him to
the last chamber, and the rest three bottles are nettle wine. Nothing will happen if he
drinks nettle wine, but he will be killed instantly if he drinks the poison potion. Harry has
no idea the contents in each bottle, he randomly selects one bottle and consumes the
potion inside the bottle until he gets the potion that can teleport him to the last chamber
or be killed.
(i)
Find the probability that he can be teleported to the last chamber.
(ii)
Given that Harry was killed, let X be the number of bottles nettle wine that he has
consumed before been killed, find Var(X).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman