We go back in the time, to the old Greeks. In that time an unknown commander, lived. This man was a real fighter. Loved wars, feared little, and had only once lost a battle. That was in Egypt, never earlier he had this way seen an armed force. That bothers him. He keept dreaming about if for months, he want to put an end on it.
He would invade Egypt once again but this time he will win. Just to be sure he went to the Oracle... ...
As a reward he took a leaden cube, which he had plunged in gold so that it seemed it was made of gold.
The oracle immediately noticed the counterfeit but wasn't angry at all.
He told the man: Cut that cube in 27 equal smaller ones. Put all the cubes in a red bag and blindly take one out. Throw that cube away as if it's a die.
As the upper side is made of gold, you will win against the Egyptians.
However, as the upper side is made of lead, you will suffer the most terrible perdition you can imagine.
Question: What is the chance that the upper side of the die throwed by the commander, is made of gold?
He would invade Egypt once again but this time he will win. Just to be sure he went to the Oracle... ...
As a reward he took a leaden cube, which he had plunged in gold so that it seemed it was made of gold.
The oracle immediately noticed the counterfeit but wasn't angry at all.
He told the man: Cut that cube in 27 equal smaller ones. Put all the cubes in a red bag and blindly take one out. Throw that cube away as if it's a die.
As the upper side is made of gold, you will win against the Egyptians.
However, as the upper side is made of lead, you will suffer the most terrible perdition you can imagine.
Question: What is the chance that the upper side of the die throwed by the commander, is made of gold?