Best Answer

25%

ANSWER: One in four. Each ant can only move in two directions. Multiply that to get the total number of possibilities (2×2x2=8 ways). There are only two ways the ants can avoid running into each other. Either they all travel clockwise, or they all travel counterclockwise. Otherwise, there has to be a collision.

Pick one ant and call him "Bill." Once Bill decides which way to go (clockwise or counterclockwise), the other ants have to go in the same direction to avoid a collision. Since the ants choose randomly, there is a one-in-two chance the second ant will move in the same rotational direction as Bill, and a one-in-two chance the third ant will. That means there is a one in four chance of avoiding a collision.

Let's Say each ant can move left or right, here are the possible directions:

LLR, LRL, RLL,

RRL, RLR, LRR,

LLL, RRR

Study guides

☆☆

Q: There are 3 ants at 3 corners of a triangle they randomly start moving towards another corner what is the probability that they do not collide?

Write your answer...

Submit

Still have questions?

Continue Learning about Statistics

Related questions

They collide with one another and tend to spread out randomly.

gas particles move about freely and collide randomly with each other

Collide.

That child is about to fall off of the slide and collide with another child!

i am a very worried and scared young student and i want to know if another planet will collide with earth?

Energy gets transferred when objects collide. It transfers from one object to another.

The Earth did collide with another planet called Thea 4.5 billion years ago which now this result in the reason we have our moon.

No, Neptune and Uranus will never collide. Their orbits do not come anywhere near one another.

In brief, the reaction rate increases. When there are more collisions, the more probability to collide them in the proper direction. The overall reaction will come to the equilibrium in a lesser time.

Another name would be a subduction zone.

Earthquake

That is conduction.

People also asked