# AoPS Wiki talk:Problem of the Day/July 15, 2011

## Problem

AoPSWiki:Problem of the Day/July 15, 2011

## Solution

There are ways to satisfy the baby storks, out of a total of ways to catch the fish. Using the fact that , we can quickly evaluate the probability as $\frac{270+120+45+10+1}{1024}=\frac{446}{1024}=\boxed{\frac{223}{512}}.