A box has 1 red marble and 7 white marbles. Two players (player I and player II) take turns drawing a marble from the box. Let's denote the process as round 1, round 2, ...

Round 1: Player I draws a marble from the box (and keep it). If the marble is red, then play I wins and game over. If the marble is white, then go to round 2.

Round 2: player II draws a marble (and keep it). If the marble is red, then play II wins and game over. If the marble is white, then go to round 3.

Then keep going until someone draws the red marble.

1) What are the possible rounds that player I can win? What are the possible rounds that player II can win? (You just need to interpret the game and understand the rules to answer this question. No calculation required).

2) What is the probability that player I wins in his/her first draw?

3) What is the probability that player II wins in his/her first draw?

4) What is the probability that player I wins in his/her second draw?

5) What is the probability that player II wins in his/her second draw?

6) If you are playing this game, do you want to be player I or player II? Please explain your choice with probability.