Guess simultaneously, color of your hat, no passing allowed
$begingroup$
1000 logicians standing in a circle are blindfolded and a hat of either black or white color is placed on each person's head. The blindfolds are then removed and each person can now see everybody's hat color but his own. After exactly one minute, they all have to simultaneously guess their own hat color.
No communication in any form is allowed after the hats have been placed. However, before the hats are placed, the logicians are allowed to gather and devise a strategy for maximising the number of correct guesses.
Questions :
1) What should be their strategy to get the maximum guaranteed
correct guesses ?
2) Had the total number of different hat colors been three instead
of two, then what strategy should they have devised to get the
maximum guaranteed correct guesses ?
mathematics logical-deduction hat-guessing
asked 5 mins ago
Hemant AgarwalHemant Agarwal
92
New contributor
Hemant Agarwal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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$endgroup$
add a comment |
$begingroup$
1000 logicians standing in a circle are blindfolded and a hat of either black or white color is placed on each person's head. The blindfolds are then removed and each person can now see everybody's hat color but his own. After exactly one minute, they all have to simultaneously guess their own hat color.
No communication in any form is allowed after the hats have been placed. However, before the hats are placed, the logicians are allowed to gather and devise a strategy for maximising the number of correct guesses.
Questions :
1) What should be their strategy to get the maximum guaranteed
correct guesses ?
2) Had the total number of different hat colors been three instead
of two, then what strategy should they have devised to get the
maximum guaranteed correct guesses ?
mathematics logical-deduction hat-guessing
asked 5 mins ago
Hemant AgarwalHemant Agarwal
92
New contributor
Hemant Agarwal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
1000 logicians standing in a circle are blindfolded and a hat of either black or white color is placed on each person's head. The blindfolds are then removed and each person can now see everybody's hat color but his own. After exactly one minute, they all have to simultaneously guess their own hat color.
No communication in any form is allowed after the hats have been placed. However, before the hats are placed, the logicians are allowed to gather and devise a strategy for maximising the number of correct guesses.
Questions :
1) What should be their strategy to get the maximum guaranteed
correct guesses ?
2) Had the total number of different hat colors been three instead
of two, then what strategy should they have devised to get the
maximum guaranteed correct guesses ?
mathematics logical-deduction hat-guessing
asked 5 mins ago
Hemant AgarwalHemant Agarwal
92
New contributor
Hemant Agarwal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
1000 logicians standing in a circle are blindfolded and a hat of either black or white color is placed on each person's head. The blindfolds are then removed and each person can now see everybody's hat color but his own. After exactly one minute, they all have to simultaneously guess their own hat color.
No communication in any form is allowed after the hats have been placed. However, before the hats are placed, the logicians are allowed to gather and devise a strategy for maximising the number of correct guesses.
Questions :
1) What should be their strategy to get the maximum guaranteed
correct guesses ?
2) Had the total number of different hat colors been three instead
of two, then what strategy should they have devised to get the
maximum guaranteed correct guesses ?
mathematics logical-deduction hat-guessing
mathematics logical-deduction hat-guessing
asked 5 mins ago
Hemant AgarwalHemant Agarwal
92
New contributor
Hemant Agarwal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 5 mins ago
Hemant AgarwalHemant Agarwal
92
New contributor
Hemant Agarwal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 5 mins ago
Hemant AgarwalHemant Agarwal
92
New contributor
Hemant Agarwal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 5 mins ago
Hemant AgarwalHemant Agarwal
92
asked 5 mins ago
Hemant AgarwalHemant Agarwal
92
92
New contributor
Hemant Agarwal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Hemant Agarwal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Hemant Agarwal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
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