Can you calculate the probability of getting a sum of six when a dice is thrown twice?

A man is lying dead in a field where no one is around. His head is split open and his legs are disfigured. Near to him, there is an unopened package. No living organism can be found anywhere at the crime scene.

How did he die?

It walks on 4 when its young, walks on 2 when it's older, and walks on 3 when its very old?

Can you name an animal whose killing cannot be performed without spilling your own blood?

What's the only room from which no one can enter or leave

People put me on the table and cut me but do not eat me. What am I?

What is next number in the pattern below:

131 517 192 123 ?

Name the three-letter word that can complete the below words?

A) L O _ _ _ E
B) E D U _ _ _ E
C) _ _ _ E R
D) _ _ _ T L E

A convention is held where all the big logicians are summoned. The master places a band on everyone's forehead. Now all of them can see others bands but can't see his own. Then they are told that there are different colours of bands. All the logicians sit in circle and they are further explained that a bell will ring at regular intervals. The moment when a logician knew the colour of band on his forehead, he will leave at the next bell. If anyone leaves at the wrong bell, he will be disqualified.

The master assures the logicians that the puzzle will not be impossible for anyone of them. How will the logicians manage ?

There is something which you can be arrested for attempting but not for successfully completing.