A bowl contains 3 blue and 7 red chips. Player 1 and Player 2 will take turns randomly removing one chip from the bowl until a blue chip is chosen. Player 1 will choose first, then Player 2, and so on.

a. Assuming there is no replacement of the chips drawn, give the sample space and find the probability that Player 2 selects the blue chip.

b. Assuming replacement of the chips drawn, give the sample space and verify that the sample space contains all the possible outcomes by finding the probability of each outcome and showing that the sum of these probabilities is 1.