This is the 486th most frequent Croatian word.
drugoj
"Drugoj" means "to the other" or "to another" in English, in the dative/locative singular form (feminine).
The word 'drugoj' here is a dative case singular form of the adjective 'drugi', meaning 'to another'. It modifies 'osobi', meaning 'person', which is also in dative singular.
Pomoći ću drugoj osobi s njenim zadatkom.
I will help another person with their task.
In this sentence, 'drugoj' is used in the locative case singular form of the adjective 'drugi', describing 'mogućnosti', which means 'possibility', also in locative singular.
Priča se o drugoj mogućnosti za rješenje problema.
They are talking about another possibility to solve the problem.
Here, 'drugoj' pertains to the locative case referring to 'stazi', meaning 'trail', indicating location or position.