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? C 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: 2. Calculate the probability of the event that room A is chosen 1. Draw a tree diagram for the maze, along with the possible outcomes and the probabilities of each branch. (ow

MATLAB: An Introduction with Applications
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Feb 21, 202
Late submissions 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?
Entrance
B
A
Understanding the Problem
The contestant must first choose one of the paths 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:
2. Calculate the probability of the event that room A is chosen
1. Draw a tree diagram for the maze, along with the possible outcomes and the probabilities of each
branch.
(over
Transcribed Image Text:Feb 21, 202 Late submissions 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? Entrance B A Understanding the Problem The contestant must first choose one of the paths 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: 2. Calculate the probability of the event that room A is chosen 1. Draw a tree diagram for the maze, along with the possible outcomes and the probabilities of each branch. (over
3. Calculate the probability of the event that room B is chosen
4. Determine which room (A or B) the car should be placed for the contestant to have the best choice
of winning it? Explain.
Transcribed Image Text:3. Calculate the probability of the event that room B is chosen 4. Determine which room (A or B) the car should be placed for the contestant to have the best choice of winning it? Explain.
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