Professor Layton and the Diabolical Box
Puzzle 064: Stones in a Vase
Blindfolded, you draw stones from a vase of 50 black and 51 white, winning gold if you get equal numbers of each, so how many should you draw?
- Chapter
- Chapter 5
- Location
- Antique Shop · Dawson
- Picarats
- 20 picarats
- Type
- Write Answer
- Region
- Same in all versions
Hint 1: A gentle nudge. Tap to flip.
You win nothing unless the counts match, so you must take an even number.
Tap to flip backHint 2: The key idea. Unlocks after the previous card is flipped.
Instead of thinking about what you take out, think about what you leave in.
Tap to flip backHint 3: Almost there. Unlocks after the previous card is flipped.
Taking 100 leaves one stone behind. What does that stone need to be?
Tap to flip backAnswer: See the answer. Unlocks after the previous card is flipped.
The answer is 100 stones.
Tap to flip backSolution, FAQ and sources
Solution
1. Take 100 stones and only one is left. You've drawn 50 of each colour exactly when the stone left behind is white: a 51-in-101 chance, just over 50%. 2. We worked out the odds for every even number. Drawing 2 or 100 gives the best chance (about 50.5%); any number in between is worse, for example about 38% for 4 or 98. 3. Since 2 and 100 are equally likely to win, take the one that pays more.
Draw **100 stones**: same best odds, fifty times the reward.
About this puzzle
A vase holds 50 black and 51 white stones. Blindfolded, you take out as many as you like. If you’ve taken equal numbers of black and white, you win one gold piece per stone drawn. How many stones should you take?
Unofficial fan guide, not affiliated with LEVEL-5 or Nintendo. Puzzle description, hints and solution written by Hint by Hint.
Similar puzzles: Puzzle 060: Plaza Puzzle, Puzzle 059: A Ticket to Where?, Puzzle 071: How Old Is She?, Puzzle 072: Scrambled Photos
All Professor Layton and the Diabolical Box puzzles
FAQ
What is the answer to Puzzle 064, Stones in a Vase, in Professor Layton and the Diabolical Box?
The answer is 100 stones.
Where do you find Puzzle 064 in Diabolical Box?
Puzzle 064 appears in Chapter 5, in the Antique Shop area, when you talk to Dawson.
How many picarats is Diabolical Box Puzzle 064 worth?
20 picarats.
Sources
- Professor Layton Wiki (Fandom): Puzzle:Stones in a Vase
- StrategyWiki: Professor Layton and the Diabolical Box/Puzzles 51-75
- Professor Layton Wiki (Fandom): Module:PuzzleData/DB
Facts checked on November 14, 2026
Unofficial fan guide. Not affiliated with, endorsed by, or sponsored by LEVEL-5 Inc. Professor Layton, The New World of Steam, and all related names, characters, and trademarks are the property of their respective owners.