SlideShare a Scribd company logo
Michael is approached by a man carrying two boxes. The stranger tells Michael to pick a box and
take the money inside the box. The stranger further tells Michael that the probability of the box
he didn't open containing twice as much money is 1=2.
What is the expected amount of money in the other Box?
What is paradoxical about this?
Solution
Let the total amount be X
Michael has to choose only one box out of two So
the probability of choosing a box is 1/2.
Now since the probability of having twice the amount in the box he didn't picked up is 1/2
so the expection or the expected value = E(2x) = 2x* P(2x)

More Related Content

More from akashganga11

Most U.S. and some European airlines now impose additional charges f.pdf
Most U.S. and some European airlines now impose additional charges f.pdfMost U.S. and some European airlines now impose additional charges f.pdf
Most U.S. and some European airlines now impose additional charges f.pdf
akashganga11
 
Morrison claims that the building of the Middlesex Canal can be .pdf
Morrison claims that the building of the Middlesex Canal can be .pdfMorrison claims that the building of the Middlesex Canal can be .pdf
Morrison claims that the building of the Middlesex Canal can be .pdf
akashganga11
 
Michelle used a sample of 50 U.S. cities to estimate the relationshi.pdf
Michelle used a sample of 50 U.S. cities to estimate the relationshi.pdfMichelle used a sample of 50 U.S. cities to estimate the relationshi.pdf
Michelle used a sample of 50 U.S. cities to estimate the relationshi.pdf
akashganga11
 
MonthYear Consider the population model P(t) = 34.5 + 1.24t,.pdf
MonthYear Consider the population model P(t) = 34.5 + 1.24t,.pdfMonthYear Consider the population model P(t) = 34.5 + 1.24t,.pdf
MonthYear Consider the population model P(t) = 34.5 + 1.24t,.pdf
akashganga11
 
Monique, Nelson, Olivia, Patrick, Queenie, Rosa, Sharim, Theo, and U.pdf
Monique, Nelson, Olivia, Patrick, Queenie, Rosa, Sharim, Theo, and U.pdfMonique, Nelson, Olivia, Patrick, Queenie, Rosa, Sharim, Theo, and U.pdf
Monique, Nelson, Olivia, Patrick, Queenie, Rosa, Sharim, Theo, and U.pdf
akashganga11
 
Monte inherited 1,000 shares of Corporation Zero stock from his fath.pdf
Monte inherited 1,000 shares of Corporation Zero stock from his fath.pdfMonte inherited 1,000 shares of Corporation Zero stock from his fath.pdf
Monte inherited 1,000 shares of Corporation Zero stock from his fath.pdf
akashganga11
 
Monetary Inflation harms the poor.True or False.SolutionHi.pdf
Monetary Inflation harms the poor.True or False.SolutionHi.pdfMonetary Inflation harms the poor.True or False.SolutionHi.pdf
Monetary Inflation harms the poor.True or False.SolutionHi.pdf
akashganga11
 
Module 3 – CaseUTILITY ETHICSBackgroundIn the Module 3 Case, w.pdf
Module 3 – CaseUTILITY ETHICSBackgroundIn the Module 3 Case, w.pdfModule 3 – CaseUTILITY ETHICSBackgroundIn the Module 3 Case, w.pdf
Module 3 – CaseUTILITY ETHICSBackgroundIn the Module 3 Case, w.pdf
akashganga11
 
Michael have ten pairs of black socks, eight pairs of white socks an.pdf
Michael have ten pairs of black socks, eight pairs of white socks an.pdfMichael have ten pairs of black socks, eight pairs of white socks an.pdf
Michael have ten pairs of black socks, eight pairs of white socks an.pdf
akashganga11
 

More from akashganga11 (9)

Most U.S. and some European airlines now impose additional charges f.pdf
Most U.S. and some European airlines now impose additional charges f.pdfMost U.S. and some European airlines now impose additional charges f.pdf
Most U.S. and some European airlines now impose additional charges f.pdf
 
Morrison claims that the building of the Middlesex Canal can be .pdf
Morrison claims that the building of the Middlesex Canal can be .pdfMorrison claims that the building of the Middlesex Canal can be .pdf
Morrison claims that the building of the Middlesex Canal can be .pdf
 
Michelle used a sample of 50 U.S. cities to estimate the relationshi.pdf
Michelle used a sample of 50 U.S. cities to estimate the relationshi.pdfMichelle used a sample of 50 U.S. cities to estimate the relationshi.pdf
Michelle used a sample of 50 U.S. cities to estimate the relationshi.pdf
 
MonthYear Consider the population model P(t) = 34.5 + 1.24t,.pdf
MonthYear Consider the population model P(t) = 34.5 + 1.24t,.pdfMonthYear Consider the population model P(t) = 34.5 + 1.24t,.pdf
MonthYear Consider the population model P(t) = 34.5 + 1.24t,.pdf
 
Monique, Nelson, Olivia, Patrick, Queenie, Rosa, Sharim, Theo, and U.pdf
Monique, Nelson, Olivia, Patrick, Queenie, Rosa, Sharim, Theo, and U.pdfMonique, Nelson, Olivia, Patrick, Queenie, Rosa, Sharim, Theo, and U.pdf
Monique, Nelson, Olivia, Patrick, Queenie, Rosa, Sharim, Theo, and U.pdf
 
Monte inherited 1,000 shares of Corporation Zero stock from his fath.pdf
Monte inherited 1,000 shares of Corporation Zero stock from his fath.pdfMonte inherited 1,000 shares of Corporation Zero stock from his fath.pdf
Monte inherited 1,000 shares of Corporation Zero stock from his fath.pdf
 
Monetary Inflation harms the poor.True or False.SolutionHi.pdf
Monetary Inflation harms the poor.True or False.SolutionHi.pdfMonetary Inflation harms the poor.True or False.SolutionHi.pdf
Monetary Inflation harms the poor.True or False.SolutionHi.pdf
 
Module 3 – CaseUTILITY ETHICSBackgroundIn the Module 3 Case, w.pdf
Module 3 – CaseUTILITY ETHICSBackgroundIn the Module 3 Case, w.pdfModule 3 – CaseUTILITY ETHICSBackgroundIn the Module 3 Case, w.pdf
Module 3 – CaseUTILITY ETHICSBackgroundIn the Module 3 Case, w.pdf
 
Michael have ten pairs of black socks, eight pairs of white socks an.pdf
Michael have ten pairs of black socks, eight pairs of white socks an.pdfMichael have ten pairs of black socks, eight pairs of white socks an.pdf
Michael have ten pairs of black socks, eight pairs of white socks an.pdf
 

Recently uploaded

HYPERTENSION - SLIDE SHARE PRESENTATION.
HYPERTENSION - SLIDE SHARE PRESENTATION.HYPERTENSION - SLIDE SHARE PRESENTATION.
HYPERTENSION - SLIDE SHARE PRESENTATION.
deepaannamalai16
 
Temple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation resultsTemple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation results
Krassimira Luka
 
A Free 200-Page eBook ~ Brain and Mind Exercise.pptx
A Free 200-Page eBook ~ Brain and Mind Exercise.pptxA Free 200-Page eBook ~ Brain and Mind Exercise.pptx
A Free 200-Page eBook ~ Brain and Mind Exercise.pptx
OH TEIK BIN
 
How Barcodes Can Be Leveraged Within Odoo 17
How Barcodes Can Be Leveraged Within Odoo 17How Barcodes Can Be Leveraged Within Odoo 17
How Barcodes Can Be Leveraged Within Odoo 17
Celine George
 
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
TechSoup
 
RESULTS OF THE EVALUATION QUESTIONNAIRE.pptx
RESULTS OF THE EVALUATION QUESTIONNAIRE.pptxRESULTS OF THE EVALUATION QUESTIONNAIRE.pptx
RESULTS OF THE EVALUATION QUESTIONNAIRE.pptx
zuzanka
 
NIPER 2024 MEMORY BASED QUESTIONS.ANSWERS TO NIPER 2024 QUESTIONS.NIPER JEE 2...
NIPER 2024 MEMORY BASED QUESTIONS.ANSWERS TO NIPER 2024 QUESTIONS.NIPER JEE 2...NIPER 2024 MEMORY BASED QUESTIONS.ANSWERS TO NIPER 2024 QUESTIONS.NIPER JEE 2...
NIPER 2024 MEMORY BASED QUESTIONS.ANSWERS TO NIPER 2024 QUESTIONS.NIPER JEE 2...
Payaamvohra1
 
CHUYÊN ĐỀ ÔN TẬP VÀ PHÁT TRIỂN CÂU HỎI TRONG ĐỀ MINH HỌA THI TỐT NGHIỆP THPT ...
CHUYÊN ĐỀ ÔN TẬP VÀ PHÁT TRIỂN CÂU HỎI TRONG ĐỀ MINH HỌA THI TỐT NGHIỆP THPT ...CHUYÊN ĐỀ ÔN TẬP VÀ PHÁT TRIỂN CÂU HỎI TRONG ĐỀ MINH HỌA THI TỐT NGHIỆP THPT ...
CHUYÊN ĐỀ ÔN TẬP VÀ PHÁT TRIỂN CÂU HỎI TRONG ĐỀ MINH HỌA THI TỐT NGHIỆP THPT ...
Nguyen Thanh Tu Collection
 
CapTechTalks Webinar Slides June 2024 Donovan Wright.pptx
CapTechTalks Webinar Slides June 2024 Donovan Wright.pptxCapTechTalks Webinar Slides June 2024 Donovan Wright.pptx
CapTechTalks Webinar Slides June 2024 Donovan Wright.pptx
CapitolTechU
 
Haunted Houses by H W Longfellow for class 10
Haunted Houses by H W Longfellow for class 10Haunted Houses by H W Longfellow for class 10
Haunted Houses by H W Longfellow for class 10
nitinpv4ai
 
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A  Nation In the Making 1872 - 1900 SML.pptLevel 3 NCEA - NZ: A  Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Henry Hollis
 
A Visual Guide to 1 Samuel | A Tale of Two Hearts
A Visual Guide to 1 Samuel | A Tale of Two HeartsA Visual Guide to 1 Samuel | A Tale of Two Hearts
A Visual Guide to 1 Samuel | A Tale of Two Hearts
Steve Thomason
 
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
indexPub
 
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdfREASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
giancarloi8888
 
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...
Nguyen Thanh Tu Collection
 
Pharmaceutics Pharmaceuticals best of brub
Pharmaceutics Pharmaceuticals best of brubPharmaceutics Pharmaceuticals best of brub
Pharmaceutics Pharmaceuticals best of brub
danielkiash986
 
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skillsspot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
haiqairshad
 
How to Download & Install Module From the Odoo App Store in Odoo 17
How to Download & Install Module From the Odoo App Store in Odoo 17How to Download & Install Module From the Odoo App Store in Odoo 17
How to Download & Install Module From the Odoo App Store in Odoo 17
Celine George
 
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
National Information Standards Organization (NISO)
 
Oliver Asks for More by Charles Dickens (9)
Oliver Asks for More by Charles Dickens (9)Oliver Asks for More by Charles Dickens (9)
Oliver Asks for More by Charles Dickens (9)
nitinpv4ai
 

Recently uploaded (20)

HYPERTENSION - SLIDE SHARE PRESENTATION.
HYPERTENSION - SLIDE SHARE PRESENTATION.HYPERTENSION - SLIDE SHARE PRESENTATION.
HYPERTENSION - SLIDE SHARE PRESENTATION.
 
Temple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation resultsTemple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation results
 
A Free 200-Page eBook ~ Brain and Mind Exercise.pptx
A Free 200-Page eBook ~ Brain and Mind Exercise.pptxA Free 200-Page eBook ~ Brain and Mind Exercise.pptx
A Free 200-Page eBook ~ Brain and Mind Exercise.pptx
 
How Barcodes Can Be Leveraged Within Odoo 17
How Barcodes Can Be Leveraged Within Odoo 17How Barcodes Can Be Leveraged Within Odoo 17
How Barcodes Can Be Leveraged Within Odoo 17
 
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
 
RESULTS OF THE EVALUATION QUESTIONNAIRE.pptx
RESULTS OF THE EVALUATION QUESTIONNAIRE.pptxRESULTS OF THE EVALUATION QUESTIONNAIRE.pptx
RESULTS OF THE EVALUATION QUESTIONNAIRE.pptx
 
NIPER 2024 MEMORY BASED QUESTIONS.ANSWERS TO NIPER 2024 QUESTIONS.NIPER JEE 2...
NIPER 2024 MEMORY BASED QUESTIONS.ANSWERS TO NIPER 2024 QUESTIONS.NIPER JEE 2...NIPER 2024 MEMORY BASED QUESTIONS.ANSWERS TO NIPER 2024 QUESTIONS.NIPER JEE 2...
NIPER 2024 MEMORY BASED QUESTIONS.ANSWERS TO NIPER 2024 QUESTIONS.NIPER JEE 2...
 
CHUYÊN ĐỀ ÔN TẬP VÀ PHÁT TRIỂN CÂU HỎI TRONG ĐỀ MINH HỌA THI TỐT NGHIỆP THPT ...
CHUYÊN ĐỀ ÔN TẬP VÀ PHÁT TRIỂN CÂU HỎI TRONG ĐỀ MINH HỌA THI TỐT NGHIỆP THPT ...CHUYÊN ĐỀ ÔN TẬP VÀ PHÁT TRIỂN CÂU HỎI TRONG ĐỀ MINH HỌA THI TỐT NGHIỆP THPT ...
CHUYÊN ĐỀ ÔN TẬP VÀ PHÁT TRIỂN CÂU HỎI TRONG ĐỀ MINH HỌA THI TỐT NGHIỆP THPT ...
 
CapTechTalks Webinar Slides June 2024 Donovan Wright.pptx
CapTechTalks Webinar Slides June 2024 Donovan Wright.pptxCapTechTalks Webinar Slides June 2024 Donovan Wright.pptx
CapTechTalks Webinar Slides June 2024 Donovan Wright.pptx
 
Haunted Houses by H W Longfellow for class 10
Haunted Houses by H W Longfellow for class 10Haunted Houses by H W Longfellow for class 10
Haunted Houses by H W Longfellow for class 10
 
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A  Nation In the Making 1872 - 1900 SML.pptLevel 3 NCEA - NZ: A  Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
 
A Visual Guide to 1 Samuel | A Tale of Two Hearts
A Visual Guide to 1 Samuel | A Tale of Two HeartsA Visual Guide to 1 Samuel | A Tale of Two Hearts
A Visual Guide to 1 Samuel | A Tale of Two Hearts
 
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
 
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdfREASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
 
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...
 
Pharmaceutics Pharmaceuticals best of brub
Pharmaceutics Pharmaceuticals best of brubPharmaceutics Pharmaceuticals best of brub
Pharmaceutics Pharmaceuticals best of brub
 
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skillsspot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
 
How to Download & Install Module From the Odoo App Store in Odoo 17
How to Download & Install Module From the Odoo App Store in Odoo 17How to Download & Install Module From the Odoo App Store in Odoo 17
How to Download & Install Module From the Odoo App Store in Odoo 17
 
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
 
Oliver Asks for More by Charles Dickens (9)
Oliver Asks for More by Charles Dickens (9)Oliver Asks for More by Charles Dickens (9)
Oliver Asks for More by Charles Dickens (9)
 

Michael is approached by a man carrying two boxes. The stranger tell.pdf

  • 1. Michael is approached by a man carrying two boxes. The stranger tells Michael to pick a box and take the money inside the box. The stranger further tells Michael that the probability of the box he didn't open containing twice as much money is 1=2. What is the expected amount of money in the other Box? What is paradoxical about this? Solution Let the total amount be X Michael has to choose only one box out of two So the probability of choosing a box is 1/2. Now since the probability of having twice the amount in the box he didn't picked up is 1/2 so the expection or the expected value = E(2x) = 2x* P(2x)