calculating expected value for multi value attribute?

is there a formula to calculate expected value for multi_value attribute in graph ? assign multi_value attribute to each node?

when a is a single value like gender (users could be male or female),it would be : Ea : what would be expected if attributes were placed randomly:

where Ti are the number of users with each of the possible k attribute values and

but what would be the case if the attribute a has multiple value ,( users could have the combination of some values user1: [w,b,M] ,user 2: [b,N] )

formulas taken from this link