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An updated Monty Show paradox for all you COR brainiacs (pg. 3)
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| Akridrot |
| quote: | Originally posted by mezzir
QUESTION ABOUT THAT...WHEN IT SAYS FINITELY MANY QUESTIONS...ARE ALICE AND BOB ALLOWED TO ASK QUESTIONS OR GUESS? OR DOES JUST JUST GO BACK AND FORTH WITH THEM SAYING NO UNTIL ONE SAYS YES |
If they were allowed to ask questions and guess, it wouldn't be much of a problem would it?
In all of the variations I've seen, it's simply "BACK AND FORTH WITH THEM SAYING NO UNTIL ONE SAYS YES"
Also prove that the person who says yes KNOWS the other person's number. |
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| Boomer187 |
hey I esplained this to my stats class.
the solution I gave em is, I dunno why it works but it does. |
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| mezzir |
| quote: | Originally posted by Akridrot
If they were allowed to ask questions and guess, it wouldn't be much of a problem would it?
In all of the variations I've seen, it's simply "BACK AND FORTH WITH THEM SAYING NO UNTIL ONE SAYS YES"
Also prove that the person who says yes KNOWS the other person's number. |
AND WE ARE TO ASSUME THE OTHER NUMBER WRITTEN ON THE BOARD IS JUST RANDOM? |
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| Akridrot |
| quote: | Originally posted by mezzir
AND WE ARE TO ASSUME THE OTHER NUMBER WRITTEN ON THE BOARD IS JUST RANDOM? |
Yes.
Example:
| quote: |
Alice's number: 6
Bob's number: 283
Xander's numbers: 289, X
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| mezzir |
| quote: | Originally posted by Akridrot
Yes.
Example: |
I HAVE NO IDEA
GIMME SOME TIME, I DON'T WANNA KNOW YET |
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| Akridrot |
Another problem (much easier):
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On the small island of Oculazura is a volcano as well as a tribe of 100 completely logical people. It is a well-known fact about the Oculazurans that they each have blue eyes or brown eyes. However, since there are no mirrors or reflective surfaces on the island, none of them knows the colour of their own eyes, even though they can see the colour of everybody else’s. In fact, according to their strict religion, any person who is able to determine the colour of their own eyes must sacrifice themselves to the gods by jumping into the volcano at midnight on the night of their discovery. One day, a visiting tourist addresses the entire tribe and announces to them that at least one of the islanders has blue eyes. What happens next? |
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| Psy-T |
| quote: | Originally posted by Akridrot
Another problem (much easier):
| quote: | | On the small island of Oculazura is a volcano as well as a tribe of 100 completely logical people. It is a well-known fact about the Oculazurans that they each have blue eyes or brown eyes. However, since there are no mirrors or reflective surfaces on the island, none of them knows the colour of their own eyes, even though they can see the colour of everybody else’s. In fact, according to their strict religion, any person who is able to determine the colour of their own eyes must sacrifice themselves to the gods by jumping into the volcano at midnight on the night of their discovery. One day, a visiting tourist addresses the entire tribe and announces to them that at least one of the islanders has blue eyes. What happens next? |
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if there is only one tribe member with blue eyes, the entire tribe will jump down the volcano that night.
if there are 2 tribe members with blue eyes, the 98 brown-eyed tribe members will plunge down the volcano that night, followed by the two blue-eyed tribe members the next night.
0+n tribe members with blue eyes, 100-n tribe members plunge that night, the rest follow suit on the next day. |
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| mezzir |
| quote: | Originally posted by Akridrot
Better problem:
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K I'M GONNA NEED SOME HELP
GOT IT MOST OF THE WAY FIGURED OUT, I JUST CAN'T QUITE CONCEPTUALIZE THE LAST PART
I MEAN WITHOUT ANY QUESTIONS OR ANYTHING YOU CAN IMMEDIATELY NARROW IT DOWN TO TWO POSSIBILITIES
THE FIRST NUMBER MINUS YOUR PERSONAL NUMBER, OR THE SECOND MINUS YOURS
FROM THERE I FEEL LIKE YOU'D NEED TO BE IN KAHOOTS WITH THE OTHER PERSON TO ASSUME THAT WHEN YOU FIRST ARE ASKED IF YOU KNOW THE OTHER NUMBER, YOU'RE THINKING OF THE NUMBER 1
THEN 2, THEN 3 ETC
I JUST CAN'T QUITE PUT IT TOGETHERLOLOLOLAAAAAHHHHH!!!!1
K JUST LMK WHAT THE HELL THE ANSWER IS :( |
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| Akridrot |
| quote: | Originally posted by mezzir
K I'M GONNA NEED SOME HELP
GOT IT MOST OF THE WAY FIGURED OUT, I JUST CAN'T QUITE CONCEPTUALIZE THE LAST PART
I MEAN WITHOUT ANY QUESTIONS OR ANYTHING YOU CAN IMMEDIATELY NARROW IT DOWN TO TWO POSSIBILITIES
THE FIRST NUMBER MINUS YOUR PERSONAL NUMBER, OR THE SECOND MINUS YOURS
FROM THERE I FEEL LIKE YOU'D NEED TO BE IN KAHOOTS WITH THE OTHER PERSON TO ASSUME THAT WHEN YOU FIRST ARE ASKED IF YOU KNOW THE OTHER NUMBER, YOU'RE THINKING OF THE NUMBER 1
THEN 2, THEN 3 ETC
I JUST CAN'T QUITE PUT IT TOGETHERLOLOLOLAAAAAHHHHH!!!!1
K JUST LMK WHAT THE HELL THE ANSWER IS :( |
*Sigh* Can't solve it on your own, huh? *tsk*
This may come as a shock to you, but:
I don't know the answer either. :o |
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| Psy-T |
| quote: | Originally posted by Akridrot
I don't know the answer either. :o |
that's cause that question is flawed.
the word "no" doesnt help them with any sort of information whatsoever.
maybe if they were limited in scope of the integers, there'd be a chance to solve it, but with infinity available.. no way in hell.
edit: lol, i just realized the integers that xander writes at the end do give a limit, i'll have to reconsider now, damnit :p |
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| mezzir |
| quote: | Originally posted by Psy-T
that's cause that question is flawed.
the word "no" doesnt help them with any sort of information whatsoever.
maybe if they were limited in scope of the integers, there'd be a chance to solve it, but with infinity available.. no way in hell. |
ITS NOT INFINITY
THEY'RE LIMITED TO INTEGERS BETWEEN 1 AND THE BIGGER OF THE 2 NUMBERS XANDER WRITES
SO IT COULD BE A HUGE SCOPE, BUT ITS FINITE |
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