## Eyad 3 years ago Needed A Smart & Genius & Patient People Pleas To help me in solving this question for necessary, Ty .

An ant stands in the middle of a circle (3 metres in diameter) and walks in a straight line at a random angle from 0 to 360 degrees. Problem is, it can only walk one metre before it needs a break. The ant has the memory of a fish and forgets what direction it has just walked in.. Anyway, after the break, it gets all dizzy and thus chooses another random direction from 0 to 360 in an attempt to escape the circle again. As you can well imagine, it could escape the circle after just 2 walks (just one break needed). Or... it could take 20,000 walks (19,999 breaks needed)!! There might even be the very slim possibility it might take 20,000^20,000 walks.... What is the average amount of walks required for the ant to escape the circle?

@TuringTest :My Native Language is German.. :) Would u mind to delete your recent comments to make sure every one can see it from the first view ?

3. Outkast3r09

is this a trick question. the highest amount of walks that the ant can do is $\infty$ because it can continue to walk in circles foreer

4. TuringTest

@Zarkon probability problem

@Outkast3r09 :Its not a tricky question .,Its has a definite answer .

6. TuringTest

this is way out of my league frankly

7. Outkast3r09

well lets see graphing it you get

8. TuringTest

though @Outkast3r09 makes a very convincing (to me) argument

9. Outkast3r09

|dw:1341367888952:dw|

lol

Is that the circle or its just a poker face @Outkast3r09 ?

12. Outkast3r09

|dw:1341367915879:dw| it's pacman

13. TuringTest

I believe it lacks a .5 as well..

14. Outkast3r09

o gahd i thought it said that the diameter was 2 metres

15. Outkast3r09

we need to find the probability that on the second walk what angles it needs to be -.-

16. TuringTest

right, so after the first walk it has some situation like|dw:1341368144531:dw|

Guys ,Sorry i need to close this question and repost it ,,,It makes me laggy :s