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III. A jar contains 4 white and 4 black marbles. We randomly choose 4 marbles. If 2 of them are white and 2 are black, we stop. If not, we replace the marbles in the jar and again randomly select 4 marbles. This continues until exactly 2 of the 4 chosen are white. (a) What is the probability that we shall make at least 10 selections, given that there are more than 8 selections? (b) Do you think this random variable X: number of game rounds has a memoryless property? Show why or Why not. Hint: Use the denition of memoryless proporty