I need help with this problem. Please justify your answer . Thank you.

For each of the following pairs of events, identify whether they are independent. Justify why or why not by using the fact that event A and B are independent if P(A) = P(A|B). a. When flipping a fair coin three times: . The first coin comes up tails (T) . There is a run of exactly two heads (that is, there are two, but not three, heads flipped in a row) b. When generating a 0/1 string of length 5: . The 3rd bit is a 1 . There are at least two Os