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a billionaire bachelor is dying. he has 3 adopted sons -- the first with a perfect vision, the second with a not-so-perfect vision, and the third is completely blind. the bachelor decided to give all his money to the smartest.

one day, he called all his sons to the study. there are 5 hats on the table -- 3 of which are white, and 2 are red. he put 3 hats to his sons without them knowing. then they were told to sit facing each other so they can each others hat -- except the blind man of course. after doing so, the bachelor asked his 3 sons to guess the color of the hats they are wearing with a one-strike policy. the 1st coulndt guess, the second couldnt either. suprisingly, the blind son got the money.

what do u think was the 3rd son's guess? justify ur answer.

2006-09-23 19:58:34 · 12 answers · asked by The Lioness 2 in Arts & Humanities Philosophy

12 answers

WHEN TWO WERE FAILED TO GUESS THIRD BECOMES WINNER AUTOMATICALLY WITHOUT GIVING ANSWER.

2006-09-23 20:07:07 · answer #1 · answered by RAMAN IOBIAN 7 · 1 0

Son 1 sees either a red and a white hat or a white and an white hat and does not answer. Son 2 now knows that either his hat or Son 3's hat is white. He also knows what color Son 1's hat is. If both hats he sees are white he cannot tell if his hat is red or white as all three hats could be white. If both hats are red then he knows he has a white hat on. If son 3 has a red hat on and Son 1 has a white hat on then Son 2, must have a white hat on as Son 1 already ruled out the possibility that both Son 2 and Son 3 are wearing red hats by not answering, but son 2 does not answer so rule that out. If Son 1 has the red hat and Son 3 the white hat then son 2 has no idea if his hat is red or white, so he still won't answer. This leaves Son 3 knowing that since neither son aswered to the question either his hat or Son 2's hat is white and the fact that son 2 could not rule out red tells Son 3 that his hat has to be white, because if it was red then Son 2 would have said white.

2006-09-23 23:36:11 · answer #2 · answered by LORD Z 7 · 0 1

Ok. If the first one can see, and he sees they are both wearing red hats, he would know his was white. So one of them is wearing a white hat, ie. either son 2 or son 3 has a white hat. Second son knows he may be wearing a white hat or a red hat, but can see the colour of son 3's hat and son 1's hat. if son 2 sees that son 1 has a red hat, and son 3 has a white, he's still none the wiser. If he sees that son 1 has a white hat, and son 3 also white, he still can't guess. If he sees that son 1 has a white hat and son 3 has a red hat, he will know his is white (as one of them has white as I said before). And if he sees that the other two (1 & 3) both have red, he will know his is white as there are only two red.
Therefore it's one of the first two combos. ie son1 = red or white, and son 3 = white. Therefore son 3 knows his must be white. Voila!!!

2006-09-23 20:17:23 · answer #3 · answered by Susier 1 · 1 0

The blind man had a white hat. Since the first two brothers could see two hats but couldn't tell what color their own was, they must each have seen one white and one red hat. That meant they the BOTH were wearing red hats, and the third brother must be wearing white.

2006-09-23 20:10:40 · answer #4 · answered by lee m 5 · 0 0

if both seeing sons guess white and were wrong, then that only left white for the third son since there were only two red hats.

2006-09-23 20:10:40 · answer #5 · answered by Just Me 6 · 0 0

If the hats were not all white, it would have been immediately obvious to one of the other sons which color his own hat was.

2006-09-23 20:04:28 · answer #6 · answered by Thomas C 3 · 0 0

the blind son removed the hat and said " i am not wearing a hat father"

only possible explanation.

2006-09-24 12:13:21 · answer #7 · answered by kd7ubp 2 · 0 0

HeeHaw! Ha! ha! ha! If all of the colleges deliver out each day jokes to their scholars, the Virginia Tech bloodbath does not have took place. they might all start up their days with sturdy humor devoid of hate.

2016-12-15 13:20:10 · answer #8 · answered by edme 3 · 0 0

white

2006-09-26 17:12:51 · answer #9 · answered by Doctor Gorgeous 1 · 0 0

just because you're bling does not mean you can't see

2006-09-24 00:10:49 · answer #10 · answered by bprice215 5 · 0 0

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