A drawer contains a mixture of red socks and blue socks, at most 2014 in total. It so happens that, when two socks are selected randomly without replacement, there is a probability of precisely 2/3 that both are red or both are blue.

What is the maximum possible number of red socks in the drawer that is consistent with this data?

      -erred-

time allowing will solve it later

Rem 2: similar to "the odds stay unchanged "  posted by me in 2004

Edited on November 6, 2014, 10:17 am

Posted by Ady TZIDON on 2014-11-06 09:50:07