The first wall has four doors with a trap behind one door. Ayako is a contestant. (a) Write down the probability that Ayako avoids the trap in this wall. Natsuko is the second contestant. (b) Find the probability that only one of Ayako and Natsuko falls into a trap while attempting to pass through a door in the first wall.
The first wall has four doors with a trap behind one door. Ayako is a contestant. (a) Write down the probability that Ayako avoids the trap in this wall. Natsuko is the second contestant. (b) Find the probability that only one of Ayako and Natsuko falls into a trap while attempting to pass through a door in the first wall.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
![Contestants in a TV gameshow try to get through three walls by passing through doors
without falling into a trap. Contestants choose doors at random.
If they avoid a trap they progress to the next wall.
If a contestant falls into a trap they exit the game before the next contestant plays.
Contestants are not allowed to watch each other attempt the game.
First Wall
Second Wall
Third Wall
Key:
Door
Trap
The first wall has four doors with a trap behind one door
Ayako is a contestant,
(a)
Write down the probability that Ayako avoids the trap in this wall.
[1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c90fce6-d930-4df9-bda9-443e26872adc%2F17ce1c62-8add-461c-a3c3-70524f6e5653%2Fckomqug_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Contestants in a TV gameshow try to get through three walls by passing through doors
without falling into a trap. Contestants choose doors at random.
If they avoid a trap they progress to the next wall.
If a contestant falls into a trap they exit the game before the next contestant plays.
Contestants are not allowed to watch each other attempt the game.
First Wall
Second Wall
Third Wall
Key:
Door
Trap
The first wall has four doors with a trap behind one door
Ayako is a contestant,
(a)
Write down the probability that Ayako avoids the trap in this wall.
[1]
Transcribed Image Text:The first wall has four doors with a trap behind one door.
Ayako is a contestant.
(a)
Write down the probability that Ayako avoids the trap in this wall.
Natsuko is the second contestant.
(b) Find the probability that only one of Ayako and Natsuko falls into a trap while
attempting to pass through a door in the first wall.
The second wall has five doors with a trap behind two of the doors.
The third wall has six doors with a trap behind three of the doors.
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