The Ant Problem
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-
What does this mean?
I RIGHT I What does this rebus mean?Read More »Found in the Forest
I am green and found in the forest and have needles instead of leaves. What am I? Hint 1: It ...Read More »Think Next
Find The Next Number In The Sequence 30 10 15 13 0 16 -15 ?Read More »What is the thing?
What is the thing which, if you have, you cannot marry, and if you don’t have, you can’t have a ...Read More »Connect all 9 of the dots
Connect all 9 of the dots using 4 straight lines or less. Do so without lifting the pen or tracing ...Read More »Chemistry movie Puzzle
When I asked my chemistry teacher what’s her favorite English movie, then she replied with the strange name “Indium Cerium ...Read More »How did the girl who drank the most survive?
Two girls ate dinner together. They both ordered iced tea. One girl drank them very fast and had finished five ...Read More »Christmas Traditional Song riddle
According to the traditional song, on the first day of Christmas (25th December), my true love sent to me: . ...Read More »Which number replaces the question mark?
Get wetter the more it dries riddle
What gets wetter and wetter the more it dries?Read More »Form the Word
It is an eleven letter word. The first, second, third and fourth letters form a banquet’s name. The fifth, sixth ...Read More »Rats step back
What would you get if 100 rats took one step backwards at the same time?Read More »Scoring maximum run in Cricket puzzle
Puzzle for Cricket fans. Two batsmen Sachin and Kohli are each on 94 runs. Seven runs are needed to win ...Read More »Can be saved but not made
What can be saved but not made, can be taken but not given, can be short or long, and can ...Read More »Numbers
0 ,2, 2,4,6,10,16……… Find out the 100th number of the sequence.Read More »Odd One Riddle
Which is the odd one out: curtain, door, veil, shutter, screenRead More »When can you add 2 to 11 to get 1 as the correct answer?
When can you add 2 to 11 to get 1 as the correct answer? Hint: many possibleRead More »Age ageing puzzle from ages
Gordon is twice as old as Tony was when Gordon was as old as Tony is now. The combined age ...Read More »Swim in the ocean
It is the part of the bird that is not in the sky. Ii can swim in the ocean and ...Read More »Mission Impossible
What is both possible and impossible at the same time?Read More »
