Logic Riddle?!
Question: I asked this earlier but I made a mistake. 5 men are lined up
in a straight line the last man in line is blind. They are asked to close their eyes and a man takes 3 red and 2 white hats and
places one on each man's head. They are told to look straight ahead now the fisrt man can not see anybodys hat the 2nd can
see1 the third 2 and the fouth 3 and the blind man none. They
then ask if they know what color hat they have on the first man
says no the second man say no the third man says no the
fourth man say yes I do then the third man say now I do to
which the second man says now I do. The blind man says I know what color I have on and the color of the rest. How did
the second man and the blind man know what colors?
Answers: I asked this earlier but I made a mistake. 5 men are lined up
in a straight line the last man in line is blind. They are asked to close their eyes and a man takes 3 red and 2 white hats and
places one on each man's head. They are told to look straight ahead now the fisrt man can not see anybodys hat the 2nd can
see1 the third 2 and the fouth 3 and the blind man none. They
then ask if they know what color hat they have on the first man
says no the second man say no the third man says no the
fourth man say yes I do then the third man say now I do to
which the second man says now I do. The blind man says I know what color I have on and the color of the rest. How did
the second man and the blind man know what colors?
Let us call the men A , B , C , D and E , where E is the blind man.
C who is the third man could know the colour of his hat , if he saw 2 white hats on A and B. Since he did not say anything the first time around , it means that there is at least one red hat on A or B.
The only way D could say anything would be
1. if there were 3 red hats in front of him , on A , B and C. He would know that his hat has to be white in colour.
or
2. if there were 2 white hats on B and C. Again he would know that his hat has to be red in colour.
If D sees 2 red hats and one white hat in front of him , he cannot know the colour of the hat on his head. It could be red or it could be white.
Once D has said he knows the colour of his hat , C knows that D has not seen 2 red and 1 white hat in front of him. Therefore , D must have seen either 3 red hats , or 2 white hats and 1 red hat. C can announce the colour of his hat :
If A has red , and B has white , then C can say that his hat has to be white in colour.
If A has white and B has red , then also C can say his hat has to be white.
If both A and B have red hats , then C's hat also has to be red , for D to have announced his hat colour.
If C does not announce his hat colour , but just says that he knows its colour , there is no way B can decide the colour of his own hat. Unless A has a white hat on his head. In this case alone , B can say that his hat has to be red in colour.
If A has a red hat on his head , B's hat can be red or white. He cannot say with certainty , unless C announces the colour of his hat.
And if B cannot tell the colour of his hat with certainty , the last man E also cannot say anything about the colour of his own hat.
someone told them
they were told to look straight ahead
uuuuuuuuuuuhhhhhhhhhh someone told them. stop it wit da hard questions my brain hurt
He Lied because no one else knew ? But him
this riddle is with three men and five caps 3 of one colour and 2 of other. never the less i will think over your way. if i can i will put in the answer here.
confusing
the fourth man sees the 3 guys in front all have red so then that narrows it down to 2 white. So oviously he knows he has a white, now three knows because he is like "well 2 guyz have red and one of them knows he has one that must mean i have a read as well." then the 2nd guy is like "well the guy in front of me has red and the third guy knows what he has and the fourth guy knows what he has so he thinks logically and figures that he has to have a red hat. Then the blind man also thinks logically on how all these guyz know what they have and then knows what he has and everyone else.
The fourth man could see hats one, two and three. If he knew there were three red hats and two white hats, then he could see the first three guys were wearing red, that means he had to be wearing white. If he was wearing the white, the blind guy knew the fourth guy could see the first three reds, so he had to be white too, and once those two announced their hat colors, the rest knew they had to be red.
They communicated with one another.
Yes, if the first three have red then the fourth would have white and so would the blind one. the rest would fall in line. BUT. The same would happen if the first had white and the second had red. The third could not know his color because it could be either. If the third got a white one the fourth would know he had red. Either scenario is possible so the blind guy would have to guess.
Unless they all talked to each other.