# The Lucky Chest [duplicate]

There are three Chests containing 100 coins each, The labels on the three chests are :

Label 1 : "100 gold coins"

Label 2 : "50 gold and 50 silver coins"

Label 3 : "100 silver coins"

You are informed that all three of the labels are incorrectly placed. You have the chance to pick a random coin from any chest and then choose a chest to keep.

Which chest would you choose that you get the "100 gold coins"?

## marked as duplicate by Tryth, Deusovi♦, CodeNewbie, Raystafarian, AJLOct 1 '15 at 10:31

• @Tryth It's not a exact duplicate as in "First day of school" one gets additional information through the student leaving one of these doors. – Aron_dc Oct 1 '15 at 10:19
• Agree, it's not a duplicate, given you have less information. However, I fear this also implies there's no 100% answer on the question either. – Tim Couwelier Oct 1 '15 at 10:41
• The principle are same.... there is also given that you could get a random coin from any of the heap .. i forgot to add that... thanks for directing me Tryth ;) – prakhar londhe Oct 1 '15 at 10:43
• The accepted answer is that there is no answer? The question says which chest would you pick to get 100 gold coins and not which chest would you pick to maximize how many gold coins you get. – Engineer Toast Oct 1 '15 at 13:16
• @prakharlondhe I added the text and it improves the odds but it still doesn't get 100% chance of picking the all gold chest. What if you the coin you pick is gold? You still don't know if that chest is all gold or half gold. All you know is that it's not all silver but you already knew that because it's labeled all silver and you know that's wrong. – Engineer Toast Oct 1 '15 at 20:46

 chest 1: 100 silver coins - chest 2: 100 gold coins - chest 3: 50 of both