campus challenge: brain games - studysmarter, uwa - mathsface
TRANSCRIPT
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Campus Challenge: Brain GamesSTUDYSmarter, UWA
Adrian Dudek
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Information
Every development in modern technology relies on a new way of storing,exchanging and presenting information.
• Television• The Internet• Mobile Phones
Of course, we live in a time whereall three of these appear in a singledevice!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Reliable InformationWhen you send an SMS to somebody ...
... your message gets turned into a string of 0’s and 1’s before it gets sentout. This string hits their phone and gets translated back to English.
“I love you”⇒“01001001001000000110110001101111011101100110010100100000011110010110111101110101
⇒ “I love you”
“I love you”⇒ERROR
“01001001001000000110110001101111011101100110010100100000011111000110111101101101
⇒ “I love tom”
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Reliable InformationWhen you send an SMS to somebody ...
... your message gets turned into a string of 0’s and 1’s before it gets sentout. This string hits their phone and gets translated back to English.
“I love you”⇒“01001001001000000110110001101111011101100110010100100000011110010110111101110101
⇒ “I love you”
“I love you”⇒ERROR
“01001001001000000110110001101111011101100110010100100000011111000110111101101101
⇒ “I love tom”
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Reliable InformationWhen you send an SMS to somebody ...
... your message gets turned into a string of 0’s and 1’s before it gets sentout. This string hits their phone and gets translated back to English.
“I love you”⇒“01001001001000000110110001101111011101100110010100100000011110010110111101110101
⇒ “I love you”
“I love you”⇒ERROR
“01001001001000000110110001101111011101100110010100100000011111000110111101101101
⇒ “I love tom”
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Detecting errors in messagesBar codes, ISBN numbers and Credit cards
• What happens when you are buying apple juice in the supermarket,but there is a mistake on the bar code?
• Thanks to mathematics, supermarket bar codes are a reliable andsafe way to label supermarket items.
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Detecting errors in messagesBar codes, ISBN numbers and Credit cards
• What happens when you are buying apple juice in the supermarket,but there is a mistake on the bar code?
• Thanks to mathematics, supermarket bar codes are a reliable andsafe way to label supermarket items.
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Activity 1: Checking Barcodes
Checking for an error in the code
• There are 13 numbers, the last is the check digit.
• Add up the numbers in the odd places (1st, 3rd, 5th, 7th, 9th, 11th)and multiply by 3.
• Add up the numbers in the even places (2nd, 4th, 6th, 8th, 10th,12th) and add it to the previous number.
• Take the last digit.• If the last digit in the barcode is not this number, then the bar code is
not valid.
Which of the following bar codes is valid?
1. 9300657111663
X Heinz tomato sauce
2. 9310577280276
× not valid
3. 9300605003811
X Milo
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Activity 1: Checking Barcodes
Checking for an error in the code
• There are 13 numbers, the last is the check digit.• Add up the numbers in the odd places (1st, 3rd, 5th, 7th, 9th, 11th)
and multiply by 3.
• Add up the numbers in the even places (2nd, 4th, 6th, 8th, 10th,12th) and add it to the previous number.
• Take the last digit.• If the last digit in the barcode is not this number, then the bar code is
not valid.
Which of the following bar codes is valid?
1. 9300657111663
X Heinz tomato sauce
2. 9310577280276
× not valid
3. 9300605003811
X Milo
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Activity 1: Checking Barcodes
Checking for an error in the code
• There are 13 numbers, the last is the check digit.• Add up the numbers in the odd places (1st, 3rd, 5th, 7th, 9th, 11th)
and multiply by 3.• Add up the numbers in the even places (2nd, 4th, 6th, 8th, 10th,
12th) and add it to the previous number.
• Take the last digit.• If the last digit in the barcode is not this number, then the bar code is
not valid.
Which of the following bar codes is valid?
1. 9300657111663
X Heinz tomato sauce
2. 9310577280276
× not valid
3. 9300605003811
X Milo
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Activity 1: Checking Barcodes
Checking for an error in the code
• There are 13 numbers, the last is the check digit.• Add up the numbers in the odd places (1st, 3rd, 5th, 7th, 9th, 11th)
and multiply by 3.• Add up the numbers in the even places (2nd, 4th, 6th, 8th, 10th,
12th) and add it to the previous number.• Take the last digit.
• If the last digit in the barcode is not this number, then the bar code isnot valid.
Which of the following bar codes is valid?
1. 9300657111663
X Heinz tomato sauce
2. 9310577280276
× not valid
3. 9300605003811
X Milo
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Activity 1: Checking Barcodes
Checking for an error in the code
• There are 13 numbers, the last is the check digit.• Add up the numbers in the odd places (1st, 3rd, 5th, 7th, 9th, 11th)
and multiply by 3.• Add up the numbers in the even places (2nd, 4th, 6th, 8th, 10th,
12th) and add it to the previous number.• Take the last digit.• If the last digit in the barcode is not this number, then the bar code is
not valid.
Which of the following bar codes is valid?
1. 9300657111663
X Heinz tomato sauce
2. 9310577280276
× not valid
3. 9300605003811
X Milo
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Activity 1: Checking Barcodes
Checking for an error in the code
• There are 13 numbers, the last is the check digit.• Add up the numbers in the odd places (1st, 3rd, 5th, 7th, 9th, 11th)
and multiply by 3.• Add up the numbers in the even places (2nd, 4th, 6th, 8th, 10th,
12th) and add it to the previous number.• Take the last digit.• If the last digit in the barcode is not this number, then the bar code is
not valid.
Which of the following bar codes is valid?
1. 9300657111663
X Heinz tomato sauce
2. 9310577280276
× not valid
3. 9300605003811
X Milo
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Activity 1: Checking Barcodes
Checking for an error in the code
• There are 13 numbers, the last is the check digit.• Add up the numbers in the odd places (1st, 3rd, 5th, 7th, 9th, 11th)
and multiply by 3.• Add up the numbers in the even places (2nd, 4th, 6th, 8th, 10th,
12th) and add it to the previous number.• Take the last digit.• If the last digit in the barcode is not this number, then the bar code is
not valid.
Which of the following bar codes is valid?
1. 9300657111663
X Heinz tomato sauce
2. 9310577280276
× not valid
3. 9300605003811
X Milo
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Activity 1: Checking Barcodes
Checking for an error in the code
• There are 13 numbers, the last is the check digit.• Add up the numbers in the odd places (1st, 3rd, 5th, 7th, 9th, 11th)
and multiply by 3.• Add up the numbers in the even places (2nd, 4th, 6th, 8th, 10th,
12th) and add it to the previous number.• Take the last digit.• If the last digit in the barcode is not this number, then the bar code is
not valid.
Which of the following bar codes is valid?
1. 9300657111663 X Heinz tomato sauce
2. 9310577280276
× not valid
3. 9300605003811
X Milo
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Activity 1: Checking Barcodes
Checking for an error in the code
• There are 13 numbers, the last is the check digit.• Add up the numbers in the odd places (1st, 3rd, 5th, 7th, 9th, 11th)
and multiply by 3.• Add up the numbers in the even places (2nd, 4th, 6th, 8th, 10th,
12th) and add it to the previous number.• Take the last digit.• If the last digit in the barcode is not this number, then the bar code is
not valid.
Which of the following bar codes is valid?
1. 9300657111663 X Heinz tomato sauce
2. 9310577280276 × not valid
3. 9300605003811
X Milo
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Activity 1: Checking Barcodes
Checking for an error in the code
• There are 13 numbers, the last is the check digit.• Add up the numbers in the odd places (1st, 3rd, 5th, 7th, 9th, 11th)
and multiply by 3.• Add up the numbers in the even places (2nd, 4th, 6th, 8th, 10th,
12th) and add it to the previous number.• Take the last digit.• If the last digit in the barcode is not this number, then the bar code is
not valid.
Which of the following bar codes is valid?
1. 9300657111663 X Heinz tomato sauce
2. 9310577280276 × not valid
3. 9300605003811 X Milo
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Lying once
Get yourselves into groups of two.
You will be versing each other in a game of secret keeping and lies!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
The Game
The game is played as follows:
1. One of you is the secret keeper , the other is the detective.
2. The secret is a number from 0 to 15.
3. The detective may ask 7 questions with Yes/No answer
4. The secret keeper is allowed to lie at most once.5. After the 7 questions, the detective makes the guess.
• Correct: 1 point• Incorrect: -2 points• No guess: 0 points
6. Three turns at detective work each!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
The Game
The game is played as follows:
1. One of you is the secret keeper , the other is the detective.
2. The secret is a number from 0 to 15.
3. The detective may ask 7 questions with Yes/No answer
4. The secret keeper is allowed to lie at most once.5. After the 7 questions, the detective makes the guess.
• Correct: 1 point• Incorrect: -2 points• No guess: 0 points
6. Three turns at detective work each!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
The Game
The game is played as follows:
1. One of you is the secret keeper , the other is the detective.
2. The secret is a number from 0 to 15.
3. The detective may ask 7 questions with Yes/No answer
4. The secret keeper is allowed to lie at most once.5. After the 7 questions, the detective makes the guess.
• Correct: 1 point• Incorrect: -2 points• No guess: 0 points
6. Three turns at detective work each!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
The Game
The game is played as follows:
1. One of you is the secret keeper , the other is the detective.
2. The secret is a number from 0 to 15.
3. The detective may ask 7 questions with Yes/No answer
4. The secret keeper is allowed to lie at most once.
5. After the 7 questions, the detective makes the guess.• Correct: 1 point• Incorrect: -2 points• No guess: 0 points
6. Three turns at detective work each!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
The Game
The game is played as follows:
1. One of you is the secret keeper , the other is the detective.
2. The secret is a number from 0 to 15.
3. The detective may ask 7 questions with Yes/No answer
4. The secret keeper is allowed to lie at most once.5. After the 7 questions, the detective makes the guess.
• Correct: 1 point• Incorrect: -2 points• No guess: 0 points
6. Three turns at detective work each!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
The Game
The game is played as follows:
1. One of you is the secret keeper , the other is the detective.
2. The secret is a number from 0 to 15.
3. The detective may ask 7 questions with Yes/No answer
4. The secret keeper is allowed to lie at most once.5. After the 7 questions, the detective makes the guess.
• Correct: 1 point• Incorrect: -2 points• No guess: 0 points
6. Three turns at detective work each!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
A Bad Way to Play
1. Is your secret number equal to 0? No
2. Is your secret number equal to 1? No
3. Is your secret number equal to 2? No
4. Is your secret number equal to 3? No
5. Is your secret number equal to 4? No
6. Is your secret number equal to 5? No
7. Is your secret number equal to 6? No
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Good Questions
For those who won the game, what questions did you ask?
• Is your number prime?• Is your number even?• Is your number between 0 and 7?• Should we ever ask the same question twice? Or thrice?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Good Questions
For those who won the game, what questions did you ask?
• Is your number prime?
• Is your number even?• Is your number between 0 and 7?• Should we ever ask the same question twice? Or thrice?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Good Questions
For those who won the game, what questions did you ask?
• Is your number prime?• Is your number even?
• Is your number between 0 and 7?• Should we ever ask the same question twice? Or thrice?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Good Questions
For those who won the game, what questions did you ask?
• Is your number prime?• Is your number even?• Is your number between 0 and 7?
• Should we ever ask the same question twice? Or thrice?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Good Questions
For those who won the game, what questions did you ask?
• Is your number prime?• Is your number even?• Is your number between 0 and 7?• Should we ever ask the same question twice? Or thrice?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
A Strategy Against those Quick to Lie
1. Is your number even? NO
If you think they have lied here, then you can beat them!
2. Is your number even? YES
Ok, so they did lie! Ask one more time to be sure if their first orsecond answer was the lie.
3. Is your number even? YES
Can we get their number now?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
A Strategy Against those Quick to Lie
1. Is your number even? NO
If you think they have lied here, then you can beat them!
2. Is your number even? YES
Ok, so they did lie! Ask one more time to be sure if their first orsecond answer was the lie.
3. Is your number even? YES
Can we get their number now?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
A Strategy Against those Quick to Lie
1. Is your number even? NO
If you think they have lied here, then you can beat them!
2. Is your number even? YES
Ok, so they did lie! Ask one more time to be sure if their first orsecond answer was the lie.
3. Is your number even? YES
Can we get their number now?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Detectives
Mathematicians make the best detectives,
• and we will prove this to you now!
• Ok, so it’s not the mathematicians which are good detectives, it’s theerror-correcting codes they create!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Detectives
Mathematicians make the best detectives,
• and we will prove this to you now!• Ok, so it’s not the mathematicians which are good detectives, it’s the
error-correcting codes they create!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Game Theory
Game Theory is the mathematical theory of “how to win games”.
Sometimes, the way we think we should play to win games is not whatwe expected.
A lot of players think about the moment, but you must think about the bigpicture in order to know what’s best!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Game Theory
Game Theory is the mathematical theory of “how to win games”.
Sometimes, the way we think we should play to win games is not whatwe expected.
A lot of players think about the moment, but you must think about the bigpicture in order to know what’s best!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Game Theory
Game Theory is the mathematical theory of “how to win games”.
Sometimes, the way we think we should play to win games is not whatwe expected.
A lot of players think about the moment, but you must think about the bigpicture in order to know what’s best!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Example
1994 Shell Caribbean Cup - Barbados V Grenada
Barbados entered the match, needing to win by 2 goals to progress to thenext round.
This cup had an odd rule, where if a team won on ’golden goal’ it wouldbe recorded as 2-0.
Barbados were winning 2-0, until 5 minutes before full-time whereGrenada made it 2-1.
What happened next...?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Example
1994 Shell Caribbean Cup - Barbados V Grenada
Barbados entered the match, needing to win by 2 goals to progress to thenext round.
This cup had an odd rule, where if a team won on ’golden goal’ it wouldbe recorded as 2-0.
Barbados were winning 2-0, until 5 minutes before full-time whereGrenada made it 2-1.
What happened next...?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Example
1994 Shell Caribbean Cup - Barbados V Grenada
Barbados entered the match, needing to win by 2 goals to progress to thenext round.
This cup had an odd rule, where if a team won on ’golden goal’ it wouldbe recorded as 2-0.
Barbados were winning 2-0, until 5 minutes before full-time whereGrenada made it 2-1.
What happened next...?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Example
1994 Shell Caribbean Cup - Barbados V Grenada
Barbados entered the match, needing to win by 2 goals to progress to thenext round.
This cup had an odd rule, where if a team won on ’golden goal’ it wouldbe recorded as 2-0.
Barbados were winning 2-0, until 5 minutes before full-time whereGrenada made it 2-1.
What happened next...?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Example
1994 Shell Caribbean Cup - Barbados V Grenada
Barbados entered the match, needing to win by 2 goals to progress to thenext round.
This cup had an odd rule, where if a team won on ’golden goal’ it wouldbe recorded as 2-0.
Barbados were winning 2-0, until 5 minutes before full-time whereGrenada made it 2-1.
What happened next...?
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and GoldThere are 5 pirates (A ,B ,C ,D,E) who have found 10 pieces of gold.
A is fiercer than B, who is fiercer than C, who is fiercer than D, who isfiercer than E.
These democratic pirates have rules for this situation. The fiercest pirateA will propose a way to distribute the gold, and they will all (including A )vote on this proposal.
If 50% or more vote for the proposal, then the gold is distributed asproposed.
If less than 50% vote for the proposal, the fiercest pirate gets thrownoverboard, and the democratic process repeats, with B, now the fiercestpirate, making the proposal.
How should A distribute the gold to maximise his takings whilst avoidingbeing thrown overboard?
Assumptions: All pirates are rational, no two pirates are equally fierce,and a pirate always prefers gold to the enjoyment of throwing the fiercestoverboard.
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and GoldThere are 5 pirates (A ,B ,C ,D,E) who have found 10 pieces of gold.
A is fiercer than B, who is fiercer than C, who is fiercer than D, who isfiercer than E.
These democratic pirates have rules for this situation. The fiercest pirateA will propose a way to distribute the gold, and they will all (including A )vote on this proposal.
If 50% or more vote for the proposal, then the gold is distributed asproposed.
If less than 50% vote for the proposal, the fiercest pirate gets thrownoverboard, and the democratic process repeats, with B, now the fiercestpirate, making the proposal.
How should A distribute the gold to maximise his takings whilst avoidingbeing thrown overboard?
Assumptions: All pirates are rational, no two pirates are equally fierce,and a pirate always prefers gold to the enjoyment of throwing the fiercestoverboard.
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and GoldThere are 5 pirates (A ,B ,C ,D,E) who have found 10 pieces of gold.
A is fiercer than B, who is fiercer than C, who is fiercer than D, who isfiercer than E.
These democratic pirates have rules for this situation. The fiercest pirateA will propose a way to distribute the gold, and they will all (including A )vote on this proposal.
If 50% or more vote for the proposal, then the gold is distributed asproposed.
If less than 50% vote for the proposal, the fiercest pirate gets thrownoverboard, and the democratic process repeats, with B, now the fiercestpirate, making the proposal.
How should A distribute the gold to maximise his takings whilst avoidingbeing thrown overboard?
Assumptions: All pirates are rational, no two pirates are equally fierce,and a pirate always prefers gold to the enjoyment of throwing the fiercestoverboard.
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and GoldThere are 5 pirates (A ,B ,C ,D,E) who have found 10 pieces of gold.
A is fiercer than B, who is fiercer than C, who is fiercer than D, who isfiercer than E.
These democratic pirates have rules for this situation. The fiercest pirateA will propose a way to distribute the gold, and they will all (including A )vote on this proposal.
If 50% or more vote for the proposal, then the gold is distributed asproposed.
If less than 50% vote for the proposal, the fiercest pirate gets thrownoverboard, and the democratic process repeats, with B, now the fiercestpirate, making the proposal.
How should A distribute the gold to maximise his takings whilst avoidingbeing thrown overboard?
Assumptions: All pirates are rational, no two pirates are equally fierce,and a pirate always prefers gold to the enjoyment of throwing the fiercestoverboard.
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and GoldThere are 5 pirates (A ,B ,C ,D,E) who have found 10 pieces of gold.
A is fiercer than B, who is fiercer than C, who is fiercer than D, who isfiercer than E.
These democratic pirates have rules for this situation. The fiercest pirateA will propose a way to distribute the gold, and they will all (including A )vote on this proposal.
If 50% or more vote for the proposal, then the gold is distributed asproposed.
If less than 50% vote for the proposal, the fiercest pirate gets thrownoverboard, and the democratic process repeats, with B, now the fiercestpirate, making the proposal.
How should A distribute the gold to maximise his takings whilst avoidingbeing thrown overboard?
Assumptions: All pirates are rational, no two pirates are equally fierce,and a pirate always prefers gold to the enjoyment of throwing the fiercestoverboard.
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and GoldThere are 5 pirates (A ,B ,C ,D,E) who have found 10 pieces of gold.
A is fiercer than B, who is fiercer than C, who is fiercer than D, who isfiercer than E.
These democratic pirates have rules for this situation. The fiercest pirateA will propose a way to distribute the gold, and they will all (including A )vote on this proposal.
If 50% or more vote for the proposal, then the gold is distributed asproposed.
If less than 50% vote for the proposal, the fiercest pirate gets thrownoverboard, and the democratic process repeats, with B, now the fiercestpirate, making the proposal.
How should A distribute the gold to maximise his takings whilst avoidingbeing thrown overboard?
Assumptions: All pirates are rational, no two pirates are equally fierce,and a pirate always prefers gold to the enjoyment of throwing the fiercestoverboard.
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and GoldThere are 5 pirates (A ,B ,C ,D,E) who have found 10 pieces of gold.
A is fiercer than B, who is fiercer than C, who is fiercer than D, who isfiercer than E.
These democratic pirates have rules for this situation. The fiercest pirateA will propose a way to distribute the gold, and they will all (including A )vote on this proposal.
If 50% or more vote for the proposal, then the gold is distributed asproposed.
If less than 50% vote for the proposal, the fiercest pirate gets thrownoverboard, and the democratic process repeats, with B, now the fiercestpirate, making the proposal.
How should A distribute the gold to maximise his takings whilst avoidingbeing thrown overboard?
Assumptions: All pirates are rational, no two pirates are equally fierce,and a pirate always prefers gold to the enjoyment of throwing the fiercestoverboard.
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and Gold
Sometimes, the way to best examine a game is to start from the end.
If the game plays on with the proposals being refused then we will end upin the two pirate situation DE. What happens here?
D should propose that he takes all 10 coins, because his vote counts for50%.
Now think about the case with three pirates: CDE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and Gold
Sometimes, the way to best examine a game is to start from the end.
If the game plays on with the proposals being refused then we will end upin the two pirate situation DE. What happens here?
D should propose that he takes all 10 coins, because his vote counts for50%.
Now think about the case with three pirates: CDE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and Gold
Sometimes, the way to best examine a game is to start from the end.
If the game plays on with the proposals being refused then we will end upin the two pirate situation DE. What happens here?
D should propose that he takes all 10 coins, because his vote counts for50%.
Now think about the case with three pirates: CDE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Pirates and Gold
Sometimes, the way to best examine a game is to start from the end.
If the game plays on with the proposals being refused then we will end upin the two pirate situation DE. What happens here?
D should propose that he takes all 10 coins, because his vote counts for50%.
Now think about the case with three pirates: CDE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Solution
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Solution
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Solution
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Solution
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Solution
Error detection Lying once Error Correction Gold and Pirates Class Quiz
True or False
We are going to do a class quiz.
To answer true to a question, put both hands on top of your head.
To answer false to a question, put both hands on your backside.
If you get an answer wrong, you get to stay in the game but you are nowplaying it kneeling down.
If you get an answer wrong when you’re kneeling, you are out of thegame.
The last person remaining in the game wins the prize!
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 1
The football (soccer) example we looked at before was from the ShellCaribbean Cup in 1994.
TRUE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 1
The football (soccer) example we looked at before was from the ShellCaribbean Cup in 1994.
TRUE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 2
When there are only three pirates CDE, C gets 8, D gets 1, and E gets 0.
FALSE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 2
When there are only three pirates CDE, C gets 8, D gets 1, and E gets 0.
FALSE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 3
Alice’s Adventures in Wonderland was written by a mathematician.
TRUE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 3
Alice’s Adventures in Wonderland was written by a mathematician.
TRUE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 4
The number 1 is a prime number.
FALSE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 4
The number 1 is a prime number.
FALSE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 5
The number 172263 is a prime number.
FALSE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 5
The number 172263 is a prime number.
FALSE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 6
There are more valid completed Sudoku grids than all the grains of sandon all the world’s beaches.
TRUE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 6
There are more valid completed Sudoku grids than all the grains of sandon all the world’s beaches.
TRUE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 7
0.99999 . . . is exactly equal to the number 1.
TRUE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 7
0.99999 . . . is exactly equal to the number 1.
TRUE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 8
In a random group of 23 people, there is a more than 90% chance thatnone of them share a birthday.
FALSE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 8
In a random group of 23 people, there is a more than 90% chance thatnone of them share a birthday.
FALSE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 9
The plus sign + was first used in the 13th century.
FALSE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 9
The plus sign + was first used in the 13th century.
FALSE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 10
A ’jiffy’ is an actual unit of time for 1/100th of a second.
TRUE
Error detection Lying once Error Correction Gold and Pirates Class Quiz
Question 10
A ’jiffy’ is an actual unit of time for 1/100th of a second.
TRUE