Game Anybody
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Ok i am back, with some more mind toppling puzzles To strengthen the genius in you on a boring friday and for some of you to ponder in the weekend. You are a programmer turned mad scientist, and decide to have a Party ONE MONTH from today. -> You have one thousand bottles of wine -> You suddenly discover that one of them is poisoned. -> The poison takes a LITTLE LESS THAN a month to take effect. -> You have a LOTS of lab mice at your disposal. -> What is the SMALLEST number of mice that must drink from the bottles to find the poisoned one? Hint, hint: It’s a hint :) So What could be a GOOD RESPONSE for this a Give the right answers in a legit form of the English language b Give wrong answers that sound better than any stupid right answer by the way, one of the movie i saw recently OFFICESPACE was one of the best i saw in the decade. if not already GO AND CHECK IT OUT this weekend --- My first article^
The answer is 10 1. The best way of identifying the wine bottle is to number each wine bottle from 1 to 1000 2. use the mice as binary bits. i.e. since 2 power 10 is 1024 which is nearest number to 1000 we can represent any number from 0 - 1000 using 10 mice. 3. Arrange the mice in the following order, (10) (9) (8) (7) (6) (5) (4) (3) (2) (1) The bottle number say 33 is fed to (5) and (1) since 10001 represents 33 in binary, again 66 will be fed to (6) and (2) since 100010 represents 66 in binary. So, by feeding 10 mice. I can identify which bottle is poisonous. Cheers.
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Ok i am back, with some more mind toppling puzzles To strengthen the genius in you on a boring friday and for some of you to ponder in the weekend. You are a programmer turned mad scientist, and decide to have a Party ONE MONTH from today. -> You have one thousand bottles of wine -> You suddenly discover that one of them is poisoned. -> The poison takes a LITTLE LESS THAN a month to take effect. -> You have a LOTS of lab mice at your disposal. -> What is the SMALLEST number of mice that must drink from the bottles to find the poisoned one? Hint, hint: It’s a hint :) So What could be a GOOD RESPONSE for this a Give the right answers in a legit form of the English language b Give wrong answers that sound better than any stupid right answer by the way, one of the movie i saw recently OFFICESPACE was one of the best i saw in the decade. if not already GO AND CHECK IT OUT this weekend --- My first article^
Lets have scientific answer of this.. Let me see...P(X)=probability of event X A=1 out of 1000 bottles is poissioned.. Hence P(A)=1/1000 B=mouse like to drink wine(50/50 chance) hence P(B)=1/2 A^B = event A and B occurs at the same time hence P(A^B)=P(A)P(B)(:laugh:Since A and B event are independent from each other) P(A^B)=1/2000 so chances of A, B occuring at same time is 1 out of 2000 so inorder to have atleast one mouse to drink from that poisioned bottle we have to have 2000 mice at our disposal.;P What you think is what you get
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The answer is 10 1. The best way of identifying the wine bottle is to number each wine bottle from 1 to 1000 2. use the mice as binary bits. i.e. since 2 power 10 is 1024 which is nearest number to 1000 we can represent any number from 0 - 1000 using 10 mice. 3. Arrange the mice in the following order, (10) (9) (8) (7) (6) (5) (4) (3) (2) (1) The bottle number say 33 is fed to (5) and (1) since 10001 represents 33 in binary, again 66 will be fed to (6) and (2) since 100010 represents 66 in binary. So, by feeding 10 mice. I can identify which bottle is poisonous. Cheers.
So you are gonna feed wine from all 1000 bottles to each mice. I bet all of them are gonna die due to alcohol poisoining :rolleyes: -Saurabh
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Lets have scientific answer of this.. Let me see...P(X)=probability of event X A=1 out of 1000 bottles is poissioned.. Hence P(A)=1/1000 B=mouse like to drink wine(50/50 chance) hence P(B)=1/2 A^B = event A and B occurs at the same time hence P(A^B)=P(A)P(B)(:laugh:Since A and B event are independent from each other) P(A^B)=1/2000 so chances of A, B occuring at same time is 1 out of 2000 so inorder to have atleast one mouse to drink from that poisioned bottle we have to have 2000 mice at our disposal.;P What you think is what you get
no...since there are only 1000 bottles, brute force says you only need 1000 mice. The one who drunk from the poison bottle would die... Steve
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The answer is 10 1. The best way of identifying the wine bottle is to number each wine bottle from 1 to 1000 2. use the mice as binary bits. i.e. since 2 power 10 is 1024 which is nearest number to 1000 we can represent any number from 0 - 1000 using 10 mice. 3. Arrange the mice in the following order, (10) (9) (8) (7) (6) (5) (4) (3) (2) (1) The bottle number say 33 is fed to (5) and (1) since 10001 represents 33 in binary, again 66 will be fed to (6) and (2) since 100010 represents 66 in binary. So, by feeding 10 mice. I can identify which bottle is poisonous. Cheers.
hopefully the mice are resistant to alcohol poisoning since each mouse would be fed between 488 and 500 samples Steve
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9 10. Explanation below. Number them 0-9. Number the bottles 0-999, in binary. Each bottle then corresponds to a certain combination of mice (each 1 bit on the bottle). Feed each bottle to the appropriate mice. (Ex. bottle 10 (1010) is fed to mouse 3 and mouse 1). After a month the mice who die tell you the number of the bottle. ;) -- modified at 11:35 Saturday 18th March, 2006. Thanks to Steve, see below. :-O
you would need 10...number the bottles from 0 to 999 and feed each mouse with samples that meet the following criteria.. Mouse Boolean Condition 1 bottle AND 1 is TRUE 2 bottle AND 2 is TRUE 3 bottle AND 4 is TRUE 4 bottle AND 8 is TRUE 5 bottle AND 16 is TRUE 6 bottle AND 32 is TRUE 7 bottle AND 64 is TRUE 8 bottle AND 128 is TRUE 9 bottle AND 256 is TRUE 10 bottle AND 512 is TRUE Steve
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you would need 10...number the bottles from 0 to 999 and feed each mouse with samples that meet the following criteria.. Mouse Boolean Condition 1 bottle AND 1 is TRUE 2 bottle AND 2 is TRUE 3 bottle AND 4 is TRUE 4 bottle AND 8 is TRUE 5 bottle AND 16 is TRUE 6 bottle AND 32 is TRUE 7 bottle AND 64 is TRUE 8 bottle AND 128 is TRUE 9 bottle AND 256 is TRUE 10 bottle AND 512 is TRUE Steve
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Ok i am back, with some more mind toppling puzzles To strengthen the genius in you on a boring friday and for some of you to ponder in the weekend. You are a programmer turned mad scientist, and decide to have a Party ONE MONTH from today. -> You have one thousand bottles of wine -> You suddenly discover that one of them is poisoned. -> The poison takes a LITTLE LESS THAN a month to take effect. -> You have a LOTS of lab mice at your disposal. -> What is the SMALLEST number of mice that must drink from the bottles to find the poisoned one? Hint, hint: It’s a hint :) So What could be a GOOD RESPONSE for this a Give the right answers in a legit form of the English language b Give wrong answers that sound better than any stupid right answer by the way, one of the movie i saw recently OFFICESPACE was one of the best i saw in the decade. if not already GO AND CHECK IT OUT this weekend --- My first article^
REAL programmers drink beer :D But my guess would be 999 (but I have a feeling the actual answer is not mathematical but logical - so i'm probably wrong :()
"... This man is obviously a psychotic." "We-he-ell, uh, I'd like to hold off judgement on a thing like that, sir, until all the facts are in." (Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb)
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REAL programmers drink beer :D But my guess would be 999 (but I have a feeling the actual answer is not mathematical but logical - so i'm probably wrong :()
"... This man is obviously a psychotic." "We-he-ell, uh, I'd like to hold off judgement on a thing like that, sir, until all the facts are in." (Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb)
~ ScrollingGrid (cross-browser freeze-header control)
welp, IMO you need at LEAST one mouse. If you get lucky, it dies (ironic, eh?). But yeah. Thats the right answer i think...or at least it is in most problems of this kind :p rara avis in terris
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Ok i am back, with some more mind toppling puzzles To strengthen the genius in you on a boring friday and for some of you to ponder in the weekend. You are a programmer turned mad scientist, and decide to have a Party ONE MONTH from today. -> You have one thousand bottles of wine -> You suddenly discover that one of them is poisoned. -> The poison takes a LITTLE LESS THAN a month to take effect. -> You have a LOTS of lab mice at your disposal. -> What is the SMALLEST number of mice that must drink from the bottles to find the poisoned one? Hint, hint: It’s a hint :) So What could be a GOOD RESPONSE for this a Give the right answers in a legit form of the English language b Give wrong answers that sound better than any stupid right answer by the way, one of the movie i saw recently OFFICESPACE was one of the best i saw in the decade. if not already GO AND CHECK IT OUT this weekend --- My first article^
Mike[^] and Srikanth N Remani[^] has already given a good explaintaion So here it is with the least amount of words by mike Number th mouse 0-9. Number the bottles 0-999, in binary. Each bottle then corresponds to a certain combination of mice (each 1 bit on the bottle). Feed each bottle to the appropriate mice. (Ex. bottle 10 (1010) is fed to mouse 3 and mouse 1). After a month the mice who die tell you the number of the bottle. Answer : 10 Thanks Happy Gaming :) i will come back with more soon --- My first article^
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Lets have scientific answer of this.. Let me see...P(X)=probability of event X A=1 out of 1000 bottles is poissioned.. Hence P(A)=1/1000 B=mouse like to drink wine(50/50 chance) hence P(B)=1/2 A^B = event A and B occurs at the same time hence P(A^B)=P(A)P(B)(:laugh:Since A and B event are independent from each other) P(A^B)=1/2000 so chances of A, B occuring at same time is 1 out of 2000 so inorder to have atleast one mouse to drink from that poisioned bottle we have to have 2000 mice at our disposal.;P What you think is what you get
Right answer - by Good response Rule b :cool: --- My first article^
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Mike[^] and Srikanth N Remani[^] has already given a good explaintaion So here it is with the least amount of words by mike Number th mouse 0-9. Number the bottles 0-999, in binary. Each bottle then corresponds to a certain combination of mice (each 1 bit on the bottle). Feed each bottle to the appropriate mice. (Ex. bottle 10 (1010) is fed to mouse 3 and mouse 1). After a month the mice who die tell you the number of the bottle. Answer : 10 Thanks Happy Gaming :) i will come back with more soon --- My first article^
Very clever - thanks for the explanation.
"... This man is obviously a psychotic." "We-he-ell, uh, I'd like to hold off judgement on a thing like that, sir, until all the facts are in." (Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb)
~ ScrollingGrid (cross-browser freeze-header control)