In: Economics
A fair coin will be tossed three times.
(a) Indicating a head by H and a tail by T write down the outcome space.
(b) What is the probability that on the first toss the outcome with a tail?
(c) What is the probability of obtaining exactly two heads from the three coin tosses?
(d) What is the probability that the first toss gives a tail and exactly two heads are obtained from the three coin tosses? Are the outcomes from parts (b) and (c) independent.