A coin is tossed three times. Determine which of the following outcomes describe mutually exclusive events.
a) A: all tosses are heads , B: all tosses are tails
b) A: at least one toss is a tail , B: at least one toss is a head
c) For both a) and b) find P(A or B) and P( A and B)
d) Which pairs of events A and B, if any, as described in parts a) and b) are independent events?