The Stav, Abby & Matt radio show on B105 features a weekly guessing game, where a contestant has to guess a hidden number between 1 and 1000,000. The hidden number was chosen by a random number generator and stays the same each week.

(a)Assuming that the contestants remember the already chosen (wrong) numbers, what is the probability that the hidden number is guessed in the first 1000 trials?

(b)Suppose that before each game a different random number is generated between 1 and 1000,000. What is now the probability that the hidden number is guessed in the first 1000 trials?

Here is the answer

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