The Ant Problem
1,649.2K Views
Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?
So let’s think this through. The ants can only avoid a collision if they all decide to move in the same direction (either clockwise or anti-clockwise). If the ants do not pick the same direction, there will definitely be a collision. Each ant has the option to either move clockwise or anti-clockwise. There is a one in two chance that an ant decides to pick a particular direction. Using simple probability calculations, we can determine the probability of no collision.
P(No collision) = P(All ants go in a clockwise direction) + P( All ants go in an anti-clockwise direction) = 0.5 * 0.5 * 0.5 + 0.5 * 0.5 * 0.5 = 0.25
Your Answer
More puzzles to try-
High or Low – Round 2
Round 1- PuzzleFry Each of the clues below refers to a five-letter word that contains either ‘HI’ or ‘LO’ within ...Read More »Tool of War
Helps to conquer, helps to protect. Sometimes threaten, sometimes defeat. Sometimes grows, sometimes shrinks. Results our downfall, results our success. ...Read More »Solve the Rebus meaning
Solve the rebus below.Read More »Next Shape Riddle
What is the next shape from answers A, B, C, and D figure?Read More »Feeling Smart
If you know it, you feel accomplished. If you don\’t know it, you feel stupid. What is it?Read More »Pills Puzzle
Two bottles consist of different pills each. You must take the two pills at the same time and if you ...Read More »How many 3’s are in this photo?
chocolate milk riddle
You have two thermoses. The first contains a litre of milk, the second contains a litre of pure chocolate syrup. ...Read More »Eight letters long
I am eight letters long – “12345678” My 1234 is an atmospheric condition. My 34567 supports a plant. My 4567 ...Read More »What always ends everything?
What always ends everything?Read More »Odd to group
Which one doesn\’t belong in the below group: Pear, Apple, Banana, Grape, Cherry.Read More »Tricky ONE word IAS Puzzles
1. Bay of Bengal is in which state? 2. What happened when wheel was invented? 3. If you throw a ...Read More »Find the number
Double it and multiply it by 4. Then divide it by 8 and you’ll have it once more. What number ...Read More »What is the chance that the last passenger will get his seat?
There are 100 passengers boarding a 100 passenger airplane. When passenger 1 gets onto the plane, he is dissoriented, so ...Read More »Business Man Puzzle
A business man pushes his car to a hotel and tells its owner that he is bankrupt. Why?Read More »Cannot kill itself but can be killed riddle
What cannot kill itself, but can be killed by another?Read More »Leonardo’s Leaps (Stair Case Puzzle)
This is a classic interview puzzle asked in many interviews. Puzzle :Given N step stair, how many number of ways ...Read More »Harder to Catch the Faster You Run
What is harder to catch the faster you run?Read More »Lateral thinking sequence Puzzle
Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »Warning Dream Puzzle
After a heavy Thanksgiving meal, the night watchman went to work. In the morning, he told his boss he had ...Read More »
Accenture Interview PuzzlesAdobe Interview PuzzlesAge RiddleAkbar Birbal PuzzlesAlgorithm PuzzlesAlphabet riddleAmazon Interview PuzzlesAnalytical MathematicsAptitude PuzzleBank PuzzlesBetting PuzzlesBrain TeasersCalendar PuzzlesCards PuzzlesChess Board PuzzleChess PuzzlesChristmas Puzzlecipher PuzzleCivil Services PuzzleClock time puzzleCognizant Interview PuzzlesCoins PuzzleComputational PuzzleconundrumCoronavirus PuzzleCoupondunia Interview PuzzleCritical Thinking Puzzledata analyticsData Structure Interview QuestionsDecode PuzzleDetective PuzzlesDice PuzzleDictionary Riddlesdifficult riddleEasy Math puzzlesEasy puzzlesEinstein puzzleEnglish RiddleFamily Tree Puzzlefamous puzzleFill in the blanks riddlesFinding Killer RiddlesFlipkart interview puzzlesFunny RiddlesGeneral KnowledgeGeographical PuzzleGoogle Code Jam 2014Google Interview PuzzlesGRE PuzzleHard Puzzle
