hey guys. who is interested in a logic puzzle? i still cant work it out help me please
four suspects W,X,Y and Z were rounded up for questioning conserning a break in. it was known that at least one was guilty, and that no on outside the 4 was involved. the following facts were established:
a) W is definatelly innocent
b)if X was guilty, then he had exactly one accomplice
c) if Y was guilty, then he had exactly two accomplice
is Z guilty or not?
Hello, boomshine57th!
Four suspects were rounded up for questioning concerning a break-in.
It was known that at least one was guilty, and that no one outside the 4 was involved.
The following facts were established:
(a) is definitely innocent
(b) if was guilty, then he had exactly one accomplice
(c) if was guilty, then he had exactly two accomplices
Is guilty or not?
From (a), the only suspects are: .
If (c) is true, then is guilty, and and were accomplices.
. . Then all three are guilty. ( had two accomplices; had two accomplices.)
Hence, (b) is not true.
Therefore, (c) is not true: is innocent.
. . The only suspects are: .
is either (1) guilty or (2) innocent.
(1) If is guilty, then (b) says he had one accomplice; it must be .
. . Hence, is guilty.
(2) If is innocent, then is the only remaining suspect.
. . Hence, is guilty.
Therefore, is guilty.