If the probability of heads when tossing a coin is p. This coin is tossed n times. If H is the event of getting a Head on the first toss and $F_k $ is the event exactly k Heads are tossed, for which pairs of integers (n,k) are H and $F_k $ independent,
I can't really see how these events will ever be independent? Given the first toss is a head it will always affect the event of an exact number of total heads? But the question suggests finding these pairs of integers? any help?