chances of getting single room over summer?

<p>I applied for housing the first day it opened and chose my preferences like so:
1. nike/ hercules apartments
2. lake claire
3. nike/ hercules double</p>

<p>I know only upper class men stay in lake claire over summer and underclassmen in nike/ hercules, so how likely is it to be assigned to the apartment version versus the dorms in nike/ hercules?
(this is only regarding summer. for fall I will be elsewhere)</p>

<p>Arbitrarily close to 0.</p>