You are going to toss a coin repeatedly in successive trials until you get a head for the first time, and then you are going to stop the experiment. Assuming that the coin is unbalanced with P(head) = 1/5, answer the following questions:
(1) Draw a tree diagram that is used to determine the outcomes;
(2) List at least 4 possible outcomes;
(3) Express the event "at least 4 tosses are required" in terms of the outcomes;
(4) Compute the probabilities P("at least 4 tosses are required before the experiment terminates");
(5) Explain why the probability calculated in (4) is large.