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?
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