3 barrel question / logic puzzle

Click For Summary
SUMMARY

The logic puzzle involves three mislabeled barrels: one containing 50 apples, another 50 oranges, and the third a mixture of both. The objective is to determine the minimum number of fruits to draw to correctly label all barrels. The optimal solution is to draw just one fruit from the barrel labeled as mixed. If the fruit drawn is an apple, that barrel contains only apples, allowing the other two barrels to be correctly identified based on the remaining labels. The conclusion is that only one draw is necessary to resolve the labeling issue.

PREREQUISITES
  • Understanding of basic logic puzzles
  • Familiarity with problem-solving techniques
  • Ability to analyze scenarios with limited information
  • Knowledge of deductive reasoning
NEXT STEPS
  • Explore more logic puzzles to enhance problem-solving skills
  • Research techniques in deductive reasoning
  • Learn about combinatorial logic and its applications
  • Practice with similar barrel or container puzzles for mastery
USEFUL FOR

This discussion is beneficial for puzzle enthusiasts, educators teaching logic and reasoning, and anyone interested in enhancing their critical thinking skills.

LAZYANGEL
Messages
15
Reaction score
1
First of all, this is NOT a homework question.

So I give you three barrels, one has 50 apples, the second has 50 oranges, the third has 50 - a mixture of both apples and oranges.

However, I have intentionally placed the wrong labels on all of them.

Find the minimum number of fruits you need to draw to get the right labels! (also explain please)

(I have managed to figure out the answer in under one minute, see how fast can you figure it out.)
 
Physics news on Phys.org
I think 52--if you have no information about how many of each fruit is in the mixed barrel.
 

Similar threads

High School Logic Problem: Figuring Out How Many Apples Each Man Ate
  • · Replies 9 ·
Replies
9
Views
3K
Graduate What are your insights on The Hardest Logic Puzzle Ever?
  • · Replies 2 ·
Replies
2
Views
3K
Other Advice on books for logic puzzle questions for software engineers
  • · Replies 5 ·
Replies
5
Views
2K
Not able to understand the solution of this puzzle
  • · Replies 28 ·
Replies
28
Views
6K
Solving a colour puzzle programmatically
  • · Replies 37 ·
2
Replies
37
Views
4K
Undergrad A new puzzle based on the "Blue-eye paradox"
  • · Replies 19 ·
Replies
19
Views
2K
Solving the Six Dice Puzzle: A Logic Defying Riddle
  • · Replies 20 ·
Replies
20
Views
11K
Graduate Blue-Eye Paradox: Solution Not Unique
  • · Replies 276 ·
10
Replies
276
Views
27K
MHB Attempting to add logic mathematics to a college paper - need your input
  • · Replies 2 ·
Replies
2
Views
2K
Are Logic Games Necessary for Success on the LSAT?
  • · Replies 3 ·
Replies
3
Views
2K