assistant place th En Understanding The contestant proceeds throug must be able to Devising a Plan One way to det to compute the Carrying Out 1. Draw a tree branch.

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...
icon
Related questions
Question
Show your work
ons not accepted. Show your work for each part.
On a quiz show, a contestant stands at the entrance to a maze that opens into two rooms, labeled A and
B in the figure. The master of ceremonies' assistant is to place a new car in one room and a donkey in
the other. The contestant must walk through the maze into one of the rooms and will win whatever is in
that room. If the contestant makes each decision in the maze at random, in which room should the
assistant place the car to give the contestant the best chance to win?
Cate submiss
Entrance
B
A
Understanding the Problem
The contestant must first choose one of the paths at the entrance and then choose another path as she
proceeds through the maze. To determine the room the contestant is most likely to choose, the assistant
must be able to determine the probability of the contestant's reaching each room.
Devising a Plan:
One way to determine where the car should be placed is to model the choices with a tree diagram and
to compute the probabilities along the branches of the tree.
Carrying Out the Plan:
1. Draw a tree diagram for the maze, along with the possible outcomes and the probabilities of each
branch.
Transcribed Image Text:ons not accepted. Show your work for each part. On a quiz show, a contestant stands at the entrance to a maze that opens into two rooms, labeled A and B in the figure. The master of ceremonies' assistant is to place a new car in one room and a donkey in the other. The contestant must walk through the maze into one of the rooms and will win whatever is in that room. If the contestant makes each decision in the maze at random, in which room should the assistant place the car to give the contestant the best chance to win? Cate submiss Entrance B A Understanding the Problem The contestant must first choose one of the paths at the entrance and then choose another path as she proceeds through the maze. To determine the room the contestant is most likely to choose, the assistant must be able to determine the probability of the contestant's reaching each room. Devising a Plan: One way to determine where the car should be placed is to model the choices with a tree diagram and to compute the probabilities along the branches of the tree. Carrying Out the Plan: 1. Draw a tree diagram for the maze, along with the possible outcomes and the probabilities of each branch.
Expert Solution
Step 1

This is a single entrance to a Maze

There are 2 rooms

A
B

Drawing a tree diagram for the given maze has 4 paths:

The number of paths for reaching the rooms is given below:

A 4
B 4

 

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON