Essay Available:
Pages:
4 pages/≈1100 words
Sources:
-1
Style:
MLA
Subject:
Mathematics & Economics
Type:
Essay
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 17.28
Topic:
The Monty Hall Simulation: Procedure and Results
Essay Instructions:
Hi please do this project attached (Project Title: The Monty Hall Problem – The Three Doors Problem) an example from a student is also attached.
Essay Sample Content Preview:
Your Name
Subject and Section
Professor’s Name
Date
The Monty Hall Problem – The Three Doors Problem
The Monty Hall problem is a scenario from the TV game show, "Let's Make a Deal," where the participant is given a chance to select one of three closed doors (Patil). Behind one door is the winning prize, a car, and the two other doors hide goats. Once the participant made a choice, a door that the participant did not choose and did not contain the winning prize will open. After which, the participant is allowed to keep or change the selection.
Purpose
The purpose of this experiment is to utilize the Monty Hall simulation found on the Math Warehouse website to look into the experimental probabilities of the Monty Hall problem. It aims to investigate if keeping or changing the initial door choice would yield better results in choosing the right door for the winning prize. The Monty Hall simulation website is used to observe the win-loss probabilities using three doors setting rapidly.
Hypothesis
I expect that switching the door will yield better results than keeping the original door.
Procedure
The Monty Hall Simulation Online found on the Math Warehouse website was used to experiment. The experiment was divided into two parts: the keep choice and the change choice. In the first part of the experiment, one of three doors was picked. Then, after the simulation opened the false door, the initial door choice was retained. It was repeated 30 times, and the results were recorded in table 1. In the next part of the experiment, one of the three doors was picked. Then, after the simulation opened the false door, the initial door choice was switched to the other closed door. It was repeated 30 times, and the results are recorded in table 2.
Table 1
Keeping the Initial Door Choices Simulation Results
Choice
Image Behind
Result
1 Door 1
Car
Win
2 Door 2
Car
Win
3 Door 3
Goat
Loss
4 Door 1
Goat
Loss
5 Door 2
Goat
Loss
6 Door 3
Goat
Loss
7 Door 1
Goat
Loss
8 Door 2
Goat
Loss
9 Door 3
Goat
Loss
10 Door 1
Goat
Loss
Door 2
Goat
Loss
Door 3
Goat
Loss
Door 1
Car
Win
Door 2
Car
Win
Door 3
Goat
Loss
Door 1
Car
Win
Door 2
Goat
Loss
Door 3
Car
Win
Door 1
Goat
Loss
Door 2
Goat
Loss
Door 3
Goat
Loss
Door 1
Car
Win
Door 2
Goat
Loss
Door 3
Goat
Loss
Door 1
Car
Win
Door 2
Goat
Loss
Door 3
Car
Win
Door 1
Goat
Loss
Door 2
Goat
Loss
Door 3
Car
Win
Results: 10 Cars (33%) and 20 Goats (67%)
Table 2
Switching Door Choices Simulation Results
First Choice
Second Choice
Image Behind
Result
1 Door 1
Door 3
Car
Win
2 Door 2
Door 1
Car
Win
<...
Subject and Section
Professor’s Name
Date
The Monty Hall Problem – The Three Doors Problem
The Monty Hall problem is a scenario from the TV game show, "Let's Make a Deal," where the participant is given a chance to select one of three closed doors (Patil). Behind one door is the winning prize, a car, and the two other doors hide goats. Once the participant made a choice, a door that the participant did not choose and did not contain the winning prize will open. After which, the participant is allowed to keep or change the selection.
Purpose
The purpose of this experiment is to utilize the Monty Hall simulation found on the Math Warehouse website to look into the experimental probabilities of the Monty Hall problem. It aims to investigate if keeping or changing the initial door choice would yield better results in choosing the right door for the winning prize. The Monty Hall simulation website is used to observe the win-loss probabilities using three doors setting rapidly.
Hypothesis
I expect that switching the door will yield better results than keeping the original door.
Procedure
The Monty Hall Simulation Online found on the Math Warehouse website was used to experiment. The experiment was divided into two parts: the keep choice and the change choice. In the first part of the experiment, one of three doors was picked. Then, after the simulation opened the false door, the initial door choice was retained. It was repeated 30 times, and the results were recorded in table 1. In the next part of the experiment, one of the three doors was picked. Then, after the simulation opened the false door, the initial door choice was switched to the other closed door. It was repeated 30 times, and the results are recorded in table 2.
Table 1
Keeping the Initial Door Choices Simulation Results
Choice
Image Behind
Result
1 Door 1
Car
Win
2 Door 2
Car
Win
3 Door 3
Goat
Loss
4 Door 1
Goat
Loss
5 Door 2
Goat
Loss
6 Door 3
Goat
Loss
7 Door 1
Goat
Loss
8 Door 2
Goat
Loss
9 Door 3
Goat
Loss
10 Door 1
Goat
Loss
Door 2
Goat
Loss
Door 3
Goat
Loss
Door 1
Car
Win
Door 2
Car
Win
Door 3
Goat
Loss
Door 1
Car
Win
Door 2
Goat
Loss
Door 3
Car
Win
Door 1
Goat
Loss
Door 2
Goat
Loss
Door 3
Goat
Loss
Door 1
Car
Win
Door 2
Goat
Loss
Door 3
Goat
Loss
Door 1
Car
Win
Door 2
Goat
Loss
Door 3
Car
Win
Door 1
Goat
Loss
Door 2
Goat
Loss
Door 3
Car
Win
Results: 10 Cars (33%) and 20 Goats (67%)
Table 2
Switching Door Choices Simulation Results
First Choice
Second Choice
Image Behind
Result
1 Door 1
Door 3
Car
Win
2 Door 2
Door 1
Car
Win
<...
Get the Whole Paper!
Not exactly what you need?
Do you need a custom essay? Order right now: