3. The results of three ips of a biased coin are observed. The probability of a head occurring is 0.8. Consider the following events: A: At least two tails are observed B: exactly one head is observed C: exactly two heads are observed a} [2] List an appropriate sample space S for this experiment. b) [1] Are the events of getting a head on ip independent for the 3 ips? c) [3] Assign probabilities to the outcomes in S. d) [3] Find (1) P(A} (ii) P(A U B) (iii) P(B|A)