EQUILATERAL TRIANGLE
There is an equilateral triangle and three bugs are sitting on the three corners of the triangle. Each of the bugs picks up a random direction and starts walking along the edge of the equilateral triangle. What is the probability that none of the bugs crash into each other?
If you have come up with the fact that the bugs can avoid the collision only when they decide to move in the same direction be it clockwise or anti clockwise, you have already solved half of it. In any other way, the bugs will definitely run into each other.
Now the bugs can move either clockwise or anti-clockwise. The probability of choosing a specific direction is then 1/2.
We will utilize the simple equation of probability to find out our answer
P(No Collision) = P (The bugs move in clockwise direction) + P(The bugs move in anti-clockwise direction)
= 0.5 * 0.5 * 0.5 + 0.5 * 0.5 * 0.5
= 0.25
Thus the probability that the bugs won’t collide into each other is 0.25 or 1/4.
Your Answer
More puzzles to try-
You buy it to eat, but you don’t eat it
You buy it to eat, but you don’t eat it. What is it?Read More »Can you find odd Doraemon?
Out of the three Doraemon in the given picture. One of them is a bit different than the other two. ...Read More »Dial Police 911
On the dull night when the blonde was dozing, she heard an odd clamour and she saw that there was ...Read More »Question in probability exam What is risk puzzle
There was once a college that offered a class on probability applied to the real world.The class was relatively easy, ...Read More »Time spend at window riddle
What spends the day at the window, goes to the table for meals and hides at night?Read More »How is this possible?
Daniel, Claude and Lou are friends. Daniel is Claude’s brother. Claude is Lou’s brother. Lou is not Daniel’s brother. Question ...Read More »Height decreases with age riddle
I’m tall when I’m young and I’m short when I’m old. What am I?Read More »Number on the Bottom
What numbers should go on the bottom line? 3 6 9 15 8 2 10 12 11 8 19 27 ...Read More »No.1 on chart riddle
On the charts I remain number one, This position cannot be undone, If I burn, you may get Just a ...Read More »It\’s bad luck to meet a black cat
When it\’s bad luck to meet a black cat?Read More »Current Day of the Month
In an office’s desk, you find a unique method that shows the current day of the month. Two numbered cubes ...Read More »Dice Probability Riddle
Two men play a dice game involving the roll of two standard dice. Man X says that a 12 will ...Read More »Probable riddle
A jar contains one hundred marbles, each of which may be white or black. You pull out 100 marbles with ...Read More »Name The Car Parts
The list of words below all relate to the topic of ‘car parts’. The code used for each word is ...Read More »Punishment to sibling riddle
John and his younger brother were fighting. Their father was tired of the fighting and decided to punish them by ...Read More »Why didn’t they?
There was a train going along the track and a car coming along the road at a right angle to ...Read More »Endless Call
Mountains will crumble and temples will fall, and no man can survive its endless call. What is it?Read More »What are you to shakira?
If shakira’s daughter is your daughter’s mother, what are you to shakira?Read More »Identical women interviewed but are not twin puzzle
Two women apply for a job. They are identical and have the same mother, father and birthday(day, month, year and ...Read More »Add 5 to 500 riddle
What do you get if you add 5 to 500 four times?Read More »