You have a bag of 20 coins. 12 of them are fair coins, 3 are double-headed coins, and the last 5 are double-tailed coins. Draw ONE coin from the bag at random and flip that coin four times, without checking what kind of coin it is. Show that your 1st flip being heads is NOT independent from the 2nd flip being heads

I know the independent formula for probability is P(A)*P(B) = P(A intersection B), but what is the exact probability of P(A),P(B) and P(A intersection B)? Thanks!