Brilli the Ant is Brilliant!

Brilli the ant sits on the Cartesian Plane at (0,0). It takes him 1 minute to crawl 1 unit. Brilli only moves horizontally and vertically. The probability that after 5 minutes he is on (2,3) is mn \frac{m}{n} where m and n are realitively prime. What is m+n2 \frac{m+n}{2} to the nearest whole number?

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