Brain-teaser Questions for Homework!? Need Help..
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1. Suppose you are offered one of four prizes. Prize A is the best of the four, Prize B is average, and prizes C and D are booby prizes. You are invited to make a statement. According to the rules, if the statement is true, you will get either A or B, and if it is false, you will get either C or D.
(a) Suppose you have your heart set on prize A, what statement could you make to ensure that you will get prize A?
(b) Suppose that for some reason, you prefer the booby prize C to everything else. What statement could you make to ensure that you will get prize C?
2. In a certain county jail, there are four innocent prisoners. One day, the jailer takes them out and places them in line on, in such a way that
(a) D can see A, B, and C
(b) C can see A and B, but not D
(c) B can see only A
(d) A can see none of the others
The jailer shows them 6 hats, of which 3 are white, 2 are black and one is red. After this, he blindfolds the men, places one hat on each of their heads, and removes the blindfolds again. The jailer tells his four prisoners that if one of them is able to determine the color of his hat within two minute, all of them are released. Otherwise, they will all be executed. Assume that all four are intelligent, and all want to be released. After 1 min 59 secs, A shouts out the color of his hat. The jailer then releases all the prisoners. What is the color of AÂ’s hat and how does he know? -
1(a) I dun like prize B
(b) I like prize D -
Wrong timing la daddy! -
wah.. power leh..Originally posted by Father Lim:1(a) I dun like prize B
(b) I like prize D
Question 2.. anyone? u've got 2 min before getting executed. -
Got Father Lim to save the night leh..Originally posted by fairlady_xoxo:
Wrong timing la daddy! -
1 a) I like prize A
b) I dun like prize C.
2.
They cant see, but they can hear right.
they discuss lor. -
I think D shouted....then A know...something like tt...
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I got ans for q 2 le.. but is damn long..
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Wah... school is so fun.
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Post the ans leh.
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do your homework yourself, how else are you gonna learn anything?
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i totally agree skidOriginally posted by skid:do your homework yourself, how else are you gonna learn anything? -
From MSN.. so-and-so says:
so we start from D
(anyway they can't see the remaining 2 hats )
ok what is the combi D must see so that he will know what colour his own hat is
2 black and 1 red
den his one will be white
ok so since he did not answer
it means he did not see 2 black and 1 red
ok moving on
C
ok if c saw that A and B are both black
and yet, D did not answer, it means that C must be white
ok next for C also,
if c saw that a and b are 1 red, 1 black, C must be white
cos if C is black, D wil answer alr
C must have saw either: 2W, 1W & 1 B or 1W and 1R
next
for B
if B saw A is black, he will know he is white.
he cannot be R or B cos C will have answered
so B
if B saw A is black
and since C did not answer
it means B cannot be red or black
because if B is red and A is black (C will answer he is white)
and if B is black and A is black, C will answer he is white
as with the rules of C previously
in both cases where he see A is black or red, he must be white
but he did not answer
so he did not see that A is red or black
he saw WHITE!
so A knows that... since they all nv answer
he must be white lor -
So confusing...
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HUH?Originally posted by Gackt247:From MSN.. so-and-so says:
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I quoted the ans from a MSN conversation with my friend. But i remove all the names/nicks.
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gacky doesn't want to reveal "so and so's" identity.Originally posted by seotiblizzard:HUH? -
How come this is your hw?
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i never said it was MY homework.