Let Y be the number of times the drawing pin points downward in the latter series of throws. Find the distribution of Y

Let p be the probability that the tip points downward after a person throws a drawing pin once. Miriam throws a drawing pin until it points downward for the first time. Let X be the number of throws for this to happen. She then throws the drawing pin another X times. Let Y be the number of times the drawing pin points downward in the latter series of throws. Find the distribution of Y