Question

if two coins are tossed and they both come up heads, or both come up the same are the dependent

Answer 1

Each toss of a coin is independent of the previous, regardless of those outcomes. In fact, it is possible to have 100, 000 heads in a row, it's a very rare event, but possible.

I once had a friend who got 17 heads in a row! But each toss is still independent.