a) A balanced coin is tossed three times. If A is the event that a tail occurs on the third toss
and B is the event that exactly two tails occur in the three tosses, show that the events A
and B are dependent.
b) The probability that an order placed to a manufacturer will be ready on time is 0.80, and
the probability that it is ready on time and will also be delivered on time is 0.72. What
then is the probability that an order will be delivered on time given that it was ready on