# Forming difference equation

• Feb 25th 2014, 12:24 PM
saandy
Forming difference equation
Hi, here is my question I am trying to solve and sure if I done it right.

there is a square with 60 equal blocks.If a mosquito(bug)is set to fly starting at block 1, it is equally likely to fly to other blocks. what is the probability after n flies, the mosquito is at the 60th block (diagonally opposite to block 1). form the difference equation.

I am trying to use law of probability to solve it but cannot form the equation. but I tried forming the answer as the probability (Pn= 1-Pn-1)1/59. Is this right. can anybody here can help. Thank you.
• Feb 25th 2014, 03:45 PM
Prove It
Re: Forming difference equation
This question doesn't make a lot of sense. Does the mosquito have to go from one block to another in sequence? Or is it able to randomly fly to any block it likes? Judging by the fact that mosquitos can fly, the latter seems more likely, but isn't the probability then just 1/60 (as it doesn't matter what had happened earlier, only on the last block)?
• Feb 25th 2014, 05:04 PM
saandy
Re: Forming difference equation
The Mosquito is equally likely to fly to any of the other blocks from where it started (top left corner of the big square). the question is, only after 'n' flies, what is the probability of the mosquito is present in the diagonally opposite region(bottom right corner).