Posted by **raja harishchandra** on Wednesday, June 12, 2013 at 1:53am.

Consider a 25×25 grid of city streets. Let S be the points of intersection of the streets, and let P be the set of paths from the bottom left corner to the top right corner of which consist of only walking to the right and up. A point s is chosen uniformly at random from S and then a path p is chosen uniformly at random from P. Over all (s,p) pairs, the probability that the point s is contained in the path p can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?

- math -
**ok**, Wednesday, June 12, 2013 at 6:52am
where did you get this problem?

- cheater -
**Cheater**, Wednesday, June 12, 2013 at 6:46pm
lol ofc brilliant CHEATER

- math -
**ok**, Thursday, June 13, 2013 at 11:19am
I have solved the problem.

Can I answer it on brilliant?

If yes, how?

- math -
**not OK**, Thursday, June 13, 2013 at 9:58pm
to ok. if you want to answer this on the site brilliant, you can by making an account but unfortunately, in every account, they have different sets of question basing on the level what you are in. this is such a very easy question.

- math -
**ok**, Friday, June 14, 2013 at 3:24pm
49/625.

Correct right?

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