A coin is tossed twice, let A be the event in which the 1st toss gets heads and let B be the event that the 2ndtoss results in heads. Let C be the event that in both tosses the coin lands on the same side.
i) Are A and B mutually exclusive? Calculate the probability that the first toss is a head and the second is also a head.
ii) Show that A B and C events are pairwise independent.