A coin is flipped until heads takes place for the first time.
a) Compute the probability that heads takes place on the first flip of the coin?
b) Compute the probability that heads takes place on the first time on the second flip of the coin?
c) Compute the probability that heads takes place on the first time on the third flip of the coin?
d) Compute the probability that heads takes place on the first time on some flip of the coin?
e) Calculate the probability that heads never takes place on any flip of the coin?