What is the chance of winning the vacation given a contestant has 1 in 3 chance of selecting the door with the big prize, and the big prize has a(n) 99% chance of being the toaster, a(n) 60% chance of the washer-dryer, and a(n) 44% chance of the vacation? Report your answer as a percent to two decimal places, eg , 1.02%, not 0.00102. • When converting 1/3 to a percent, round to two decimal places.

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

2

The Law of And
So, how do we determine probability when we have two non-mutually exclusive events? We can use The Law of And,
also know as the Multiplication Rule!!
Let's say our game show has reached rock bottom financially and now has to reduce the probability of contestants
winning any prizes. To do this, our top three prizes (washer-dryer, toaster, and vacation) will have a certain probability
of being selected as the big prize. The big prize will be placed behind one of three doors, and the other two doors will
have pet rocks as a prize.
Door #1
Door #2
Door #3
What is the chance of winning the vacation given a contestant has 1 in 3 chance of selecting the door with the big
prize, and the big prize has a(n) 99% chance of being the toaster, a(n) 60% chance of the washer-dryer, and a(n)
44% chance of the vacation?
• Report your answer as a percent to two decimal places, eg, 1.02%, not 0.00102.
When converting 1/3 to a percent, round to two decimal places.
Transcribed Image Text:The Law of And So, how do we determine probability when we have two non-mutually exclusive events? We can use The Law of And, also know as the Multiplication Rule!! Let's say our game show has reached rock bottom financially and now has to reduce the probability of contestants winning any prizes. To do this, our top three prizes (washer-dryer, toaster, and vacation) will have a certain probability of being selected as the big prize. The big prize will be placed behind one of three doors, and the other two doors will have pet rocks as a prize. Door #1 Door #2 Door #3 What is the chance of winning the vacation given a contestant has 1 in 3 chance of selecting the door with the big prize, and the big prize has a(n) 99% chance of being the toaster, a(n) 60% chance of the washer-dryer, and a(n) 44% chance of the vacation? • Report your answer as a percent to two decimal places, eg, 1.02%, not 0.00102. When converting 1/3 to a percent, round to two decimal places.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
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