There is a set of n objects $\{a_1,a_2,\ldots,a_n\}$ each having color $c_1,c_2,\ldots,c_n\}$ respectively. Now a random subset of this objects is selected and painted with some random color from set $\{d_1,d_2,\ldots,d_k\}$. What is the expected color of each object after this procedure?
I am new to this topic so please help.Thanks in advance.