SlideShare a Scribd company logo
1 of 1
Download to read offline
A fair coin is flipped 4 times. What is the probability of observing (i) at least one head (ii)
no more than two heads, (iii) a run of two or more consecutive tails?
Solution
p(H) = 4/16 =1/4 p(not moe than 2 heads) =2/16 =1/8 p(two or more conse tails)
=3/16

More Related Content

More from sathyavlr

A fair coin is tossed four times. Let Y denote the longest string of.pdf
A fair coin is tossed four times. Let Y denote the longest string of.pdfA fair coin is tossed four times. Let Y denote the longest string of.pdf
A fair coin is tossed four times. Let Y denote the longest string of.pdfsathyavlr
 
a fair coin is tossed five times. Which sequence is more likely, HT.pdf
a fair coin is tossed five times.  Which sequence is more likely, HT.pdfa fair coin is tossed five times.  Which sequence is more likely, HT.pdf
a fair coin is tossed five times. Which sequence is more likely, HT.pdfsathyavlr
 
A fair coin is tossed 7 times. What is the probability that At most .pdf
A fair coin is tossed 7 times. What is the probability that At most .pdfA fair coin is tossed 7 times. What is the probability that At most .pdf
A fair coin is tossed 7 times. What is the probability that At most .pdfsathyavlr
 
A fair coin is tossed 7 times. What is the probability that at least.pdf
A fair coin is tossed 7 times. What is the probability that at least.pdfA fair coin is tossed 7 times. What is the probability that at least.pdf
A fair coin is tossed 7 times. What is the probability that at least.pdfsathyavlr
 
A fair coin flipped 9 times. Use Appendix Table for Binomial distrib.pdf
A fair coin flipped 9 times. Use Appendix Table for Binomial distrib.pdfA fair coin flipped 9 times. Use Appendix Table for Binomial distrib.pdf
A fair coin flipped 9 times. Use Appendix Table for Binomial distrib.pdfsathyavlr
 
A fair coin (i.e. P(Heads)=P(Tails)=½) is tossed repeatedly. Find Pn.pdf
A fair coin (i.e. P(Heads)=P(Tails)=½) is tossed repeatedly. Find Pn.pdfA fair coin (i.e. P(Heads)=P(Tails)=½) is tossed repeatedly. Find Pn.pdf
A fair coin (i.e. P(Heads)=P(Tails)=½) is tossed repeatedly. Find Pn.pdfsathyavlr
 
A fair 6 sided die is rolled 6 independent times. Let Ai be the even.pdf
A fair 6 sided die is rolled 6 independent times. Let Ai be the even.pdfA fair 6 sided die is rolled 6 independent times. Let Ai be the even.pdf
A fair 6 sided die is rolled 6 independent times. Let Ai be the even.pdfsathyavlr
 
A fair coin (HT) is tossed three times. Let E = exactly one tail (T.pdf
A fair coin (HT) is tossed three times. Let E = exactly one tail (T.pdfA fair coin (HT) is tossed three times. Let E = exactly one tail (T.pdf
A fair coin (HT) is tossed three times. Let E = exactly one tail (T.pdfsathyavlr
 
A die is rolled and then a coin is tossed. Draw a tree diagram to in.pdf
A die is rolled and then a coin is tossed. Draw a tree diagram to in.pdfA die is rolled and then a coin is tossed. Draw a tree diagram to in.pdf
A die is rolled and then a coin is tossed. Draw a tree diagram to in.pdfsathyavlr
 
A dolphin moves in water towards an obstacle at a speed of 15 ms. A.pdf
A dolphin moves in water towards an obstacle at a speed of 15 ms. A.pdfA dolphin moves in water towards an obstacle at a speed of 15 ms. A.pdf
A dolphin moves in water towards an obstacle at a speed of 15 ms. A.pdfsathyavlr
 
A differential equation a.can always be solved explicitly b..pdf
A differential equation a.can always be solved explicitly b..pdfA differential equation a.can always be solved explicitly b..pdf
A differential equation a.can always be solved explicitly b..pdfsathyavlr
 
A die is rolled 10 times. Find the probability of rolling exactly 1 .pdf
A die is rolled 10 times. Find the probability of rolling exactly 1 .pdfA die is rolled 10 times. Find the probability of rolling exactly 1 .pdf
A die is rolled 10 times. Find the probability of rolling exactly 1 .pdfsathyavlr
 
A disc jockey has 10 songs to play. Four are slow songs, and six are.pdf
A disc jockey has 10 songs to play. Four are slow songs, and six are.pdfA disc jockey has 10 songs to play. Four are slow songs, and six are.pdf
A disc jockey has 10 songs to play. Four are slow songs, and six are.pdfsathyavlr
 
A die is rolled 20 times and the number ofSolutionA binomial i.pdf
A die is rolled 20 times and the number ofSolutionA binomial i.pdfA die is rolled 20 times and the number ofSolutionA binomial i.pdf
A die is rolled 20 times and the number ofSolutionA binomial i.pdfsathyavlr
 

More from sathyavlr (14)

A fair coin is tossed four times. Let Y denote the longest string of.pdf
A fair coin is tossed four times. Let Y denote the longest string of.pdfA fair coin is tossed four times. Let Y denote the longest string of.pdf
A fair coin is tossed four times. Let Y denote the longest string of.pdf
 
a fair coin is tossed five times. Which sequence is more likely, HT.pdf
a fair coin is tossed five times.  Which sequence is more likely, HT.pdfa fair coin is tossed five times.  Which sequence is more likely, HT.pdf
a fair coin is tossed five times. Which sequence is more likely, HT.pdf
 
A fair coin is tossed 7 times. What is the probability that At most .pdf
A fair coin is tossed 7 times. What is the probability that At most .pdfA fair coin is tossed 7 times. What is the probability that At most .pdf
A fair coin is tossed 7 times. What is the probability that At most .pdf
 
A fair coin is tossed 7 times. What is the probability that at least.pdf
A fair coin is tossed 7 times. What is the probability that at least.pdfA fair coin is tossed 7 times. What is the probability that at least.pdf
A fair coin is tossed 7 times. What is the probability that at least.pdf
 
A fair coin flipped 9 times. Use Appendix Table for Binomial distrib.pdf
A fair coin flipped 9 times. Use Appendix Table for Binomial distrib.pdfA fair coin flipped 9 times. Use Appendix Table for Binomial distrib.pdf
A fair coin flipped 9 times. Use Appendix Table for Binomial distrib.pdf
 
A fair coin (i.e. P(Heads)=P(Tails)=½) is tossed repeatedly. Find Pn.pdf
A fair coin (i.e. P(Heads)=P(Tails)=½) is tossed repeatedly. Find Pn.pdfA fair coin (i.e. P(Heads)=P(Tails)=½) is tossed repeatedly. Find Pn.pdf
A fair coin (i.e. P(Heads)=P(Tails)=½) is tossed repeatedly. Find Pn.pdf
 
A fair 6 sided die is rolled 6 independent times. Let Ai be the even.pdf
A fair 6 sided die is rolled 6 independent times. Let Ai be the even.pdfA fair 6 sided die is rolled 6 independent times. Let Ai be the even.pdf
A fair 6 sided die is rolled 6 independent times. Let Ai be the even.pdf
 
A fair coin (HT) is tossed three times. Let E = exactly one tail (T.pdf
A fair coin (HT) is tossed three times. Let E = exactly one tail (T.pdfA fair coin (HT) is tossed three times. Let E = exactly one tail (T.pdf
A fair coin (HT) is tossed three times. Let E = exactly one tail (T.pdf
 
A die is rolled and then a coin is tossed. Draw a tree diagram to in.pdf
A die is rolled and then a coin is tossed. Draw a tree diagram to in.pdfA die is rolled and then a coin is tossed. Draw a tree diagram to in.pdf
A die is rolled and then a coin is tossed. Draw a tree diagram to in.pdf
 
A dolphin moves in water towards an obstacle at a speed of 15 ms. A.pdf
A dolphin moves in water towards an obstacle at a speed of 15 ms. A.pdfA dolphin moves in water towards an obstacle at a speed of 15 ms. A.pdf
A dolphin moves in water towards an obstacle at a speed of 15 ms. A.pdf
 
A differential equation a.can always be solved explicitly b..pdf
A differential equation a.can always be solved explicitly b..pdfA differential equation a.can always be solved explicitly b..pdf
A differential equation a.can always be solved explicitly b..pdf
 
A die is rolled 10 times. Find the probability of rolling exactly 1 .pdf
A die is rolled 10 times. Find the probability of rolling exactly 1 .pdfA die is rolled 10 times. Find the probability of rolling exactly 1 .pdf
A die is rolled 10 times. Find the probability of rolling exactly 1 .pdf
 
A disc jockey has 10 songs to play. Four are slow songs, and six are.pdf
A disc jockey has 10 songs to play. Four are slow songs, and six are.pdfA disc jockey has 10 songs to play. Four are slow songs, and six are.pdf
A disc jockey has 10 songs to play. Four are slow songs, and six are.pdf
 
A die is rolled 20 times and the number ofSolutionA binomial i.pdf
A die is rolled 20 times and the number ofSolutionA binomial i.pdfA die is rolled 20 times and the number ofSolutionA binomial i.pdf
A die is rolled 20 times and the number ofSolutionA binomial i.pdf
 

Recently uploaded

Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfJayanti Pande
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...christianmathematics
 
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural ResourcesEnergy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural ResourcesShubhangi Sonawane
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.christianmathematics
 
Food Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-II
Food Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-IIFood Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-II
Food Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-IIShubhangi Sonawane
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfagholdier
 
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...Nguyen Thanh Tu Collection
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin ClassesCeline George
 
psychiatric nursing HISTORY COLLECTION .docx
psychiatric  nursing HISTORY  COLLECTION  .docxpsychiatric  nursing HISTORY  COLLECTION  .docx
psychiatric nursing HISTORY COLLECTION .docxPoojaSen20
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...Poonam Aher Patil
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfciinovamais
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...EduSkills OECD
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeThiyagu K
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxVishalSingh1417
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxVishalSingh1417
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphThiyagu K
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104misteraugie
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactPECB
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsTechSoup
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.pptRamjanShidvankar
 

Recently uploaded (20)

Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdf
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural ResourcesEnergy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
 
Food Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-II
Food Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-IIFood Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-II
Food Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-II
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdf
 
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
psychiatric nursing HISTORY COLLECTION .docx
psychiatric  nursing HISTORY  COLLECTION  .docxpsychiatric  nursing HISTORY  COLLECTION  .docx
psychiatric nursing HISTORY COLLECTION .docx
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot Graph
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The Basics
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 

A fair coin is flipped 4 times. What is the probability of observing.pdf

  • 1. A fair coin is flipped 4 times. What is the probability of observing (i) at least one head (ii) no more than two heads, (iii) a run of two or more consecutive tails? Solution p(H) = 4/16 =1/4 p(not moe than 2 heads) =2/16 =1/8 p(two or more conse tails) =3/16